Details

analyze652.0ms (4.6%)

Algorithm

1×	search
2×	egg-herbie

Rules

756×	`neg-mul-1_binary64_5871`
741×	`neg-sub0_binary64_5870`
638×	`associate-/l*_binary64_5820`
470×	`distribute-frac-neg_binary64_5838`
468×	`div-sub_binary64_5880`
448×	`unsub-neg_binary64_5869`
352×	`sub-neg_binary64_5868`
260×	`distribute-rgt-in_binary64_5825`
256×	`times-frac_binary64_5881`
236×	`distribute-lft-neg-out_binary64_5834`
234×	`distribute-rgt-neg-out_binary64_5835`
198×	`distribute-lft-in_binary64_5824` `associate-*l/_binary64_5818`
187×	`associate-l_binary64_5816`
177×	`cancel-sign-sub-inv_binary64_5841`
173×	`associate-*r/_binary64_5817`
172×	`distribute-neg-frac_binary64_5839`
170×	`associate-r_binary64_5815`
155×	`associate-/r/_binary64_5821`
149×	`associate-/r*_binary64_5819`
122×	`*-lft-identity_binary64_5864`
117×	`associate-/l/_binary64_5822`
103×	`*-rgt-identity_binary64_5865`
97×	`*-commutative_binary64_5806`
90×	`remove-double-neg_binary64_5863`
82×	`distribute-rgt-neg-in_binary64_5833`
78×	`cancel-sign-sub_binary64_5840`
77×	`/-rgt-identity_binary64_5866`
53×	`div0_binary64_5856`
44×	`distribute-rgt-out_binary64_5828` `associate--r+_binary64_5811` `+-commutative_binary64_5805`
42×	`distribute-lft-neg-in_binary64_5832`
40×	`distribute-rgt-out--_binary64_5829`
34×	`+-lft-identity_binary64_5859`
32×	`associate-+l-_binary64_5810` `associate-+r+_binary64_5807`
29×	`distribute-neg-in_binary64_5836`
28×	`sub0-neg_binary64_5862` `distribute-neg-out_binary64_5837`
24×	`associate-+r-_binary64_5809`
22×	`associate-+l+_binary64_5808`
19×	`+-rgt-identity_binary64_5860`
17×	`remove-double-div_binary64_5851`
16×	`difference-of-squares_binary64_5844`
15×	`mul0-rgt_binary64_5858` `mul0-lft_binary64_5857`
12×	`distribute-lft-out_binary64_5826`
10×	`associate--r-_binary64_5814`
8×	`associate--l+_binary64_5812`
6×	`swap-sqr_binary64_5842`
4×	`associate--l-_binary64_5813`
3×	`sqr-neg_binary64_5889` `--rgt-identity_binary64_5861`
2×	`mul-1-neg_binary64_5867`
1×	`1-exp_binary64_5919`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_6138` `erf-erfc_binary64_6137` `erf-odd_binary64_6136` `if-if-and-not_binary64_6135` `if-if-and_binary64_6134` `if-if-or-not_binary64_6133` `if-if-or_binary64_6132` `if-not_binary64_6131` `if-same_binary64_6130` `if-false_binary64_6129` `if-true_binary64_6128` `not-gte_binary64_6127` `not-lte_binary64_6126` `not-gt_binary64_6125` `not-lt_binary64_6124` `gte-same_binary64_6123` `lte-same_binary64_6122` `gt-same_binary64_6121` `lt-same_binary64_6120` `sinh---cosh_binary64_6067` `sinh-+-cosh_binary64_6066` `sinh-cosh_binary64_6065` `tanh-def-c_binary64_6064` `tanh-def-b_binary64_6063` `tanh-def-a_binary64_6062` `cosh-def_binary64_6061` `sinh-def_binary64_6060` `tan-neg_binary64_6007` `cos-neg_binary64_6006` `sin-neg_binary64_6005` `tan-0_binary64_6004` `cos-0_binary64_6003` `sin-0_binary64_6002` `hang-m-tan_binary64_6001` `hang-p-tan_binary64_6000` `hang-m0-tan_binary64_5999` `hang-p0-tan_binary64_5998` `hang-0m-tan_binary64_5997` `hang-0p-tan_binary64_5996` `tan-+PI/2_binary64_5995` `tan-+PI_binary64_5994` `tan-PI_binary64_5993` `tan-PI/3_binary64_5992` `tan-PI/4_binary64_5991` `tan-PI/6_binary64_5990` `cos-+PI/2_binary64_5989` `cos-+PI_binary64_5988` `cos-PI_binary64_5987` `cos-PI/2_binary64_5986` `cos-PI/3_binary64_5985` `cos-PI/4_binary64_5984` `cos-PI/6_binary64_5983` `sin-+PI/2_binary64_5982` `sin-+PI_binary64_5981` `sin-PI_binary64_5980` `sin-PI/2_binary64_5979` `sin-PI/3_binary64_5978` `sin-PI/4_binary64_5977` `sin-PI/6_binary64_5976` `sub-1-sin_binary64_5975` `sub-1-cos_binary64_5974` `-1-add-sin_binary64_5973` `-1-add-cos_binary64_5972` `1-sub-sin_binary64_5971` `1-sub-cos_binary64_5970` `cos-sin-sum_binary64_5969` `log-E_binary64_5965` `log-pow_binary64_5964` `log-rec_binary64_5963` `log-div_binary64_5962` `log-prod_binary64_5961` `pow-base-0_binary64_5959` `unpow1/3_binary64_5942` `unpow3_binary64_5941` `unpow2_binary64_5940` `unpow1/2_binary64_5939` `pow-plus_binary64_5938` `exp-to-pow_binary64_5937` `pow-base-1_binary64_5935` `unpow0_binary64_5934` `unpow1_binary64_5933` `unpow-1_binary64_5932` `exp-lft-cube_binary64_5931` `exp-lft-sqr_binary64_5930` `exp-cbrt_binary64_5929` `exp-sqrt_binary64_5928` `exp-prod_binary64_5927` `div-exp_binary64_5926` `rec-exp_binary64_5925` `prod-exp_binary64_5924` `exp-diff_binary64_5923` `exp-neg_binary64_5922` `exp-sum_binary64_5921` `e-exp-1_binary64_5920` `exp-1-e_binary64_5918` `exp-0_binary64_5917` `rem-log-exp_binary64_5916` `rem-exp-log_binary64_5915` `cube-unmult_binary64_5912` `cube-mult_binary64_5905` `cube-div_binary64_5904` `cube-prod_binary64_5903` `cube-neg_binary64_5902` `rem-3cbrt-rft_binary64_5901` `rem-3cbrt-lft_binary64_5900` `rem-cbrt-cube_binary64_5899` `rem-cube-cbrt_binary64_5898` `sqr-abs_binary64_5890` `rem-sqrt-square_binary64_5888` `rem-square-sqrt_binary64_5887` `*-inverses_binary64_5855` `+-inverses_binary64_5854` `lft-mult-inverse_binary64_5853` `rgt-mult-inverse_binary64_5852` `pow-sqr_binary64_5848` `sqr-pow_binary64_5847` `difference-of-sqr--1_binary64_5846` `difference-of-sqr-1_binary64_5845` `unswap-sqr_binary64_5843` `distribute-rgt1-in_binary64_5831` `distribute-lft1-in_binary64_5830` `distribute-lft-out--_binary64_5827` `count-2_binary64_5823`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	208
1	161	200
2	483	200
3	1371	192
4	2735	192
5	3995	192
6	4316	192
7	4707	192
8	5013	192
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
12.5%	68.6%	18.9%	6
18.7%	62.4%	18.9%	7
18.7%	59.3%	22%	8
28.1%	39%	32.9%	9
32.8%	34.3%	32.9%	10
32.8%	32%	35.3%	11
38.2%	20.7%	41.1%	12
41%	17.9%	41.1%	13
41%	16.6%	42.5%	14

Compiler

Compiled 38 to 24 computations (36.8% saved)

sample58.0ms (0.4%)

Algorithm

1×

intervals

Results

37.0ms	242×	body	256	valid
3.0ms	34×	body	128	nan
1.0ms	14×	body	128	valid

Compiler

Compiled 75 to 50 computations (33.3% saved)

simplify230.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

637×	`associate-/l*_binary64_5820`
634×	`div-sub_binary64_5880`
582×	`unsub-neg_binary64_5869`
519×	`sub-neg_binary64_5868`
502×	`times-frac_binary64_5881`
356×	`distribute-rgt-out--_binary64_5829`
307×	`neg-mul-1_binary64_5871`
295×	`distribute-rgt-neg-in_binary64_5833`
286×	`associate-/l/_binary64_5822`
280×	`neg-sub0_binary64_5870`
252×	`associate-/r/_binary64_5821`
250×	`distribute-lft-neg-out_binary64_5834`
246×	`distribute-neg-out_binary64_5837`
212×	`associate-/r_binary64_5819` `-commutative_binary64_5806`
210×	`+-commutative_binary64_5805`
208×	`distribute-rgt-out_binary64_5828`
203×	`distribute-rgt-in_binary64_5825`
199×	`distribute-rgt-neg-out_binary64_5835`
186×	`distribute-neg-frac_binary64_5839`
160×	`associate-*r/_binary64_5817`
145×	`cancel-sign-sub-inv_binary64_5841`
137×	`associate-*l/_binary64_5818`
133×	`distribute-neg-in_binary64_5836`
123×	`distribute-lft-in_binary64_5824`
113×	`associate-+l+_binary64_5808`
106×	`distribute-lft-out--_binary64_5827`
100×	`distribute-frac-neg_binary64_5838`
98×	`associate-+l-_binary64_5810`
90×	`associate-l_binary64_5816`
81×	`associate-+r+_binary64_5807`
78×	`associate-r_binary64_5815` `associate--r-_binary64_5814`
63×	`associate--r+_binary64_5811`
59×	`distribute-lft-neg-in_binary64_5832`
46×	`*-lft-identity_binary64_5864`
44×	`associate-+r-_binary64_5809`
43×	`*-rgt-identity_binary64_5865` `distribute-lft-out_binary64_5826`
35×	`remove-double-neg_binary64_5863` `sub0-neg_binary64_5862`
34×	`associate--l+_binary64_5812`
27×	`mul0-rgt_binary64_5858` `swap-sqr_binary64_5842`
25×	`mul0-lft_binary64_5857`
24×	`distribute-rgt1-in_binary64_5831`
23×	`associate--l-_binary64_5813`
20×	`mul-1-neg_binary64_5867`
18×	`div0_binary64_5856`
14×	`cancel-sign-sub_binary64_5840`
9×	`+-lft-identity_binary64_5859`
6×	`+-rgt-identity_binary64_5860`
5×	`sqr-neg_binary64_5889`
4×	`/-rgt-identity_binary64_5866` `--rgt-identity_binary64_5861` `+-inverses_binary64_5854`
2×	`difference-of-squares_binary64_5844` `distribute-lft1-in_binary64_5830`
1×	`1-exp_binary64_5919`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_6138` `erf-erfc_binary64_6137` `erf-odd_binary64_6136` `if-if-and-not_binary64_6135` `if-if-and_binary64_6134` `if-if-or-not_binary64_6133` `if-if-or_binary64_6132` `if-not_binary64_6131` `if-same_binary64_6130` `if-false_binary64_6129` `if-true_binary64_6128` `not-gte_binary64_6127` `not-lte_binary64_6126` `not-gt_binary64_6125` `not-lt_binary64_6124` `gte-same_binary64_6123` `lte-same_binary64_6122` `gt-same_binary64_6121` `lt-same_binary64_6120` `sinh---cosh_binary64_6067` `sinh-+-cosh_binary64_6066` `sinh-cosh_binary64_6065` `tanh-def-c_binary64_6064` `tanh-def-b_binary64_6063` `tanh-def-a_binary64_6062` `cosh-def_binary64_6061` `sinh-def_binary64_6060` `tan-neg_binary64_6007` `cos-neg_binary64_6006` `sin-neg_binary64_6005` `tan-0_binary64_6004` `cos-0_binary64_6003` `sin-0_binary64_6002` `hang-m-tan_binary64_6001` `hang-p-tan_binary64_6000` `hang-m0-tan_binary64_5999` `hang-p0-tan_binary64_5998` `hang-0m-tan_binary64_5997` `hang-0p-tan_binary64_5996` `tan-+PI/2_binary64_5995` `tan-+PI_binary64_5994` `tan-PI_binary64_5993` `tan-PI/3_binary64_5992` `tan-PI/4_binary64_5991` `tan-PI/6_binary64_5990` `cos-+PI/2_binary64_5989` `cos-+PI_binary64_5988` `cos-PI_binary64_5987` `cos-PI/2_binary64_5986` `cos-PI/3_binary64_5985` `cos-PI/4_binary64_5984` `cos-PI/6_binary64_5983` `sin-+PI/2_binary64_5982` `sin-+PI_binary64_5981` `sin-PI_binary64_5980` `sin-PI/2_binary64_5979` `sin-PI/3_binary64_5978` `sin-PI/4_binary64_5977` `sin-PI/6_binary64_5976` `sub-1-sin_binary64_5975` `sub-1-cos_binary64_5974` `-1-add-sin_binary64_5973` `-1-add-cos_binary64_5972` `1-sub-sin_binary64_5971` `1-sub-cos_binary64_5970` `cos-sin-sum_binary64_5969` `log-E_binary64_5965` `log-pow_binary64_5964` `log-rec_binary64_5963` `log-div_binary64_5962` `log-prod_binary64_5961` `pow-base-0_binary64_5959` `unpow1/3_binary64_5942` `unpow3_binary64_5941` `unpow2_binary64_5940` `unpow1/2_binary64_5939` `pow-plus_binary64_5938` `exp-to-pow_binary64_5937` `pow-base-1_binary64_5935` `unpow0_binary64_5934` `unpow1_binary64_5933` `unpow-1_binary64_5932` `exp-lft-cube_binary64_5931` `exp-lft-sqr_binary64_5930` `exp-cbrt_binary64_5929` `exp-sqrt_binary64_5928` `exp-prod_binary64_5927` `div-exp_binary64_5926` `rec-exp_binary64_5925` `prod-exp_binary64_5924` `exp-diff_binary64_5923` `exp-neg_binary64_5922` `exp-sum_binary64_5921` `e-exp-1_binary64_5920` `exp-1-e_binary64_5918` `exp-0_binary64_5917` `rem-log-exp_binary64_5916` `rem-exp-log_binary64_5915` `cube-unmult_binary64_5912` `cube-mult_binary64_5905` `cube-div_binary64_5904` `cube-prod_binary64_5903` `cube-neg_binary64_5902` `rem-3cbrt-rft_binary64_5901` `rem-3cbrt-lft_binary64_5900` `rem-cbrt-cube_binary64_5899` `rem-cube-cbrt_binary64_5898` `sqr-abs_binary64_5890` `rem-sqrt-square_binary64_5888` `rem-square-sqrt_binary64_5887` `*-inverses_binary64_5855` `lft-mult-inverse_binary64_5853` `rgt-mult-inverse_binary64_5852` `remove-double-div_binary64_5851` `pow-sqr_binary64_5848` `sqr-pow_binary64_5847` `difference-of-sqr--1_binary64_5846` `difference-of-sqr-1_binary64_5845` `unswap-sqr_binary64_5843` `count-2_binary64_5823`

Counts

1 → 1

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	52
1	53	50
2	139	50
3	381	48
4	735	48
5	1189	48
6	1409	48
7	1893	48
8	1853	48
9	2235	48
10	2889	48
11	3457	48
12	3639	48
13	3749	48
14	3797	48
15	3821	48
16	3871	48
17	4858	48
18	4799	48
19	4980	48
20	4834	48

prune6.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

34.0b

Counts

2 → 2

Compiler

Compiled 99 to 59 computations (40.4% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

7.9b	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
8.0b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
28.1b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.1b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite160.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

30.3b

Rules

14×	`add-sqr-sqrt_binary64_5897`
11×	`cbrt-prod_binary64_5906`
10×	`*-un-lft-identity_binary64_5875`
9×	`sqrt-prod_binary64_5891`
8×	`add-cube-cbrt_binary64_5910`
6×	`pow1_binary64_5936` `times-frac_binary64_5881`
4×	`add-log-exp_binary64_5914` `add-exp-log_binary64_5913` `add-cbrt-cube_binary64_5911` `sqrt-div_binary64_5892` `difference-of-squares_binary64_5844`
2×	`pow1/2_binary64_5955` `sqrt-pow1_binary64_5893` `flip3--_binary64_5879` `flip--_binary64_5850` `rem-sqrt-square_binary64_5888` `pow1/3_binary64_5957` `cbrt-div_binary64_5907`
1×	`associate-*l/_binary64_5818` `distribute-lft-out--_binary64_5827` `div-inv_binary64_5872`

Counts

4 → 61

Calls

4 calls:

9.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
8.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 2510 to 735 computations (70.7% saved)

series1.7s (11.8%)

Error

30.3b

Counts

4 → 47

Calls

4 calls:

723.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
644.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
109.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
107.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 4750 to 3430 computations (27.8% saved)

simplify87.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

574×	`associate-/l*_binary64_5820`
466×	`associate-/r*_binary64_5819`
422×	`associate-l_binary64_5816`
130×	`cancel-sign-sub-inv_binary64_5841`
120×	`associate-*l/_binary64_5818`
114×	`sub-neg_binary64_5868` `associate-*r/_binary64_5817`
106×	`distribute-rgt-neg-in_binary64_5833`
100×	`distribute-lft-neg-in_binary64_5832`
97×	`*-commutative_binary64_5806`
96×	`associate-/r/_binary64_5821`
95×	`distribute-rgt-in_binary64_5825`
85×	`associate-r_binary64_5815`
82×	`distribute-lft-in_binary64_5824`
71×	`times-frac_binary64_5881`
70×	`sqr-pow_binary64_5847`
62×	`distribute-neg-frac_binary64_5839`
61×	`exp-sum_binary64_5921`
50×	`unswap-sqr_binary64_5843`
48×	`neg-sub0_binary64_5870`
46×	`exp-prod_binary64_5927`
45×	`neg-mul-1_binary64_5871`
41×	`+-commutative_binary64_5805`
33×	`div-sub_binary64_5880`
29×	`exp-diff_binary64_5923`
27×	`distribute-neg-in_binary64_5836`
25×	`unsub-neg_binary64_5869`
17×	`log-div_binary64_5962` `distribute-lft-neg-out_binary64_5834`
14×	`unpow1/3_binary64_5942`
13×	`distribute-rgt-out_binary64_5828` `associate--r+_binary64_5811`
11×	`pow-sqr_binary64_5848` `difference-of-squares_binary64_5844` `distribute-rgt-neg-out_binary64_5835` `associate-+l-_binary64_5810`
10×	`log-prod_binary64_5961`
9×	`exp-to-pow_binary64_5937` `associate-+l+_binary64_5808`
8×	`associate-+r-_binary64_5809` `associate-+r+_binary64_5807`
5×	`cube-unmult_binary64_5912`
4×	`unpow3_binary64_5941` `exp-neg_binary64_5922` `cube-prod_binary64_5903` `associate--r-_binary64_5814` `associate--l-_binary64_5813`
3×	`log-pow_binary64_5964` `log-rec_binary64_5963` `pow-plus_binary64_5938` `cube-mult_binary64_5905` `rem-sqrt-square_binary64_5888` `mul-1-neg_binary64_5867`
2×	`unpow2_binary64_5940` `unpow1/2_binary64_5939` `unpow1_binary64_5933` `rem-3cbrt-lft_binary64_5900` `remove-double-neg_binary64_5863` `distribute-rgt-out--_binary64_5829` `distribute-lft-out_binary64_5826` `associate--l+_binary64_5812`
1×	`exp-lft-sqr_binary64_5930` `1-exp_binary64_5919` `rem-square-sqrt_binary64_5887` `+-rgt-identity_binary64_5860` `associate-/l/_binary64_5822`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_6138` `erf-erfc_binary64_6137` `erf-odd_binary64_6136` `if-if-and-not_binary64_6135` `if-if-and_binary64_6134` `if-if-or-not_binary64_6133` `if-if-or_binary64_6132` `if-not_binary64_6131` `if-same_binary64_6130` `if-false_binary64_6129` `if-true_binary64_6128` `not-gte_binary64_6127` `not-lte_binary64_6126` `not-gt_binary64_6125` `not-lt_binary64_6124` `gte-same_binary64_6123` `lte-same_binary64_6122` `gt-same_binary64_6121` `lt-same_binary64_6120` `sinh---cosh_binary64_6067` `sinh-+-cosh_binary64_6066` `sinh-cosh_binary64_6065` `tanh-def-c_binary64_6064` `tanh-def-b_binary64_6063` `tanh-def-a_binary64_6062` `cosh-def_binary64_6061` `sinh-def_binary64_6060` `tan-neg_binary64_6007` `cos-neg_binary64_6006` `sin-neg_binary64_6005` `tan-0_binary64_6004` `cos-0_binary64_6003` `sin-0_binary64_6002` `hang-m-tan_binary64_6001` `hang-p-tan_binary64_6000` `hang-m0-tan_binary64_5999` `hang-p0-tan_binary64_5998` `hang-0m-tan_binary64_5997` `hang-0p-tan_binary64_5996` `tan-+PI/2_binary64_5995` `tan-+PI_binary64_5994` `tan-PI_binary64_5993` `tan-PI/3_binary64_5992` `tan-PI/4_binary64_5991` `tan-PI/6_binary64_5990` `cos-+PI/2_binary64_5989` `cos-+PI_binary64_5988` `cos-PI_binary64_5987` `cos-PI/2_binary64_5986` `cos-PI/3_binary64_5985` `cos-PI/4_binary64_5984` `cos-PI/6_binary64_5983` `sin-+PI/2_binary64_5982` `sin-+PI_binary64_5981` `sin-PI_binary64_5980` `sin-PI/2_binary64_5979` `sin-PI/3_binary64_5978` `sin-PI/4_binary64_5977` `sin-PI/6_binary64_5976` `sub-1-sin_binary64_5975` `sub-1-cos_binary64_5974` `-1-add-sin_binary64_5973` `-1-add-cos_binary64_5972` `1-sub-sin_binary64_5971` `1-sub-cos_binary64_5970` `cos-sin-sum_binary64_5969` `log-E_binary64_5965` `pow-base-0_binary64_5959` `pow-base-1_binary64_5935` `unpow0_binary64_5934` `unpow-1_binary64_5932` `exp-lft-cube_binary64_5931` `exp-cbrt_binary64_5929` `exp-sqrt_binary64_5928` `div-exp_binary64_5926` `rec-exp_binary64_5925` `prod-exp_binary64_5924` `e-exp-1_binary64_5920` `exp-1-e_binary64_5918` `exp-0_binary64_5917` `rem-log-exp_binary64_5916` `rem-exp-log_binary64_5915` `cube-div_binary64_5904` `cube-neg_binary64_5902` `rem-3cbrt-rft_binary64_5901` `rem-cbrt-cube_binary64_5899` `rem-cube-cbrt_binary64_5898` `sqr-abs_binary64_5890` `sqr-neg_binary64_5889` `/-rgt-identity_binary64_5866` `-rgt-identity_binary64_5865` `-lft-identity_binary64_5864` `sub0-neg_binary64_5862` `--rgt-identity_binary64_5861` `+-lft-identity_binary64_5859` `mul0-rgt_binary64_5858` `mul0-lft_binary64_5857` `div0_binary64_5856` `*-inverses_binary64_5855` `+-inverses_binary64_5854` `lft-mult-inverse_binary64_5853` `rgt-mult-inverse_binary64_5852` `remove-double-div_binary64_5851` `difference-of-sqr--1_binary64_5846` `difference-of-sqr-1_binary64_5845` `swap-sqr_binary64_5842` `cancel-sign-sub_binary64_5840` `distribute-frac-neg_binary64_5838` `distribute-neg-out_binary64_5837` `distribute-rgt1-in_binary64_5831` `distribute-lft1-in_binary64_5830` `distribute-lft-out--_binary64_5827` `count-2_binary64_5823`

Counts

108 → 67

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	256	2719
1	565	2671
2	1525	2629
3	5153	2629

prune161.0ms (1.1%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	53	14	67
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	54	15	69

Error

30.0b

Counts

69 → 15

Compiler

Compiled 3086 to 1438 computations (53.4% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.4b	(-.f64 (.f64 g g) (.f64 h h))
7.9b	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
28.1b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.1b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite142.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

29.6b

Rules

14×	`add-sqr-sqrt_binary64_5897`
10×	`*-un-lft-identity_binary64_5875` `cbrt-prod_binary64_5906`
9×	`sqrt-prod_binary64_5891`
8×	`add-cube-cbrt_binary64_5910`
6×	`pow1_binary64_5936` `add-log-exp_binary64_5914` `times-frac_binary64_5881`
5×	`difference-of-squares_binary64_5844`
4×	`add-exp-log_binary64_5913` `add-cbrt-cube_binary64_5911` `sqrt-div_binary64_5892`
3×	`flip3--_binary64_5879` `flip--_binary64_5850`
2×	`pow1/2_binary64_5955` `sqrt-pow1_binary64_5893` `rem-sqrt-square_binary64_5888`
1×	`pow1/3_binary64_5957` `cbrt-div_binary64_5907` `distribute-lft-out--_binary64_5827` `div-inv_binary64_5872` `diff-log_binary64_5967` `sub-neg_binary64_5868` `cancel-sign-sub-inv_binary64_5841`

Counts

4 → 64

Calls

4 calls:

8.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 2673 to 825 computations (69.1% saved)

series1.1s (7.7%)

Error

29.3b

Counts

4 → 46

Calls

4 calls:

648.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
147.0ms	(-.f64 (.f64 g g) (.f64 h h))
113.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
108.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 4173 to 2908 computations (30.3% saved)

simplify123.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

278×	`associate-r_binary64_5815`
249×	`associate-l_binary64_5816`
241×	`exp-sum_binary64_5921`
228×	`sub-neg_binary64_5868`
203×	`times-frac_binary64_5881`
202×	`exp-prod_binary64_5927`
177×	`associate-/l*_binary64_5820`
145×	`*-commutative_binary64_5806`
125×	`associate-/r*_binary64_5819`
124×	`div-sub_binary64_5880`
122×	`distribute-rgt-in_binary64_5825`
121×	`sqr-pow_binary64_5847`
118×	`exp-diff_binary64_5923`
116×	`unsub-neg_binary64_5869`
115×	`distribute-lft-in_binary64_5824`
102×	`neg-sub0_binary64_5870`
90×	`neg-mul-1_binary64_5871`
81×	`log-prod_binary64_5961`
66×	`cancel-sign-sub-inv_binary64_5841`
64×	`+-commutative_binary64_5805`
57×	`log-div_binary64_5962`
50×	`associate-+r-_binary64_5809`
48×	`distribute-rgt-neg-in_binary64_5833`
47×	`associate-*l/_binary64_5818`
45×	`associate-*r/_binary64_5817`
41×	`distribute-lft-neg-in_binary64_5832`
39×	`unswap-sqr_binary64_5843`
37×	`exp-to-pow_binary64_5937`
32×	`associate-+l-_binary64_5810`
30×	`unpow1/3_binary64_5942` `distribute-neg-frac_binary64_5839`
28×	`associate-/r/_binary64_5821` `associate-+l+_binary64_5808`
26×	`associate-+r+_binary64_5807`
23×	`pow-sqr_binary64_5848`
22×	`rem-exp-log_binary64_5915`
20×	`associate--r+_binary64_5811`
19×	`log-pow_binary64_5964` `+-rgt-identity_binary64_5860`
18×	`unpow3_binary64_5941` `distribute-lft-neg-out_binary64_5834`
17×	`pow-plus_binary64_5938`
16×	`exp-neg_binary64_5922`
15×	`sub0-neg_binary64_5862` `distribute-neg-in_binary64_5836`
14×	`cube-unmult_binary64_5912` `associate--l+_binary64_5812`
13×	`associate--r-_binary64_5814`
12×	`distribute-rgt-neg-out_binary64_5835`
11×	`difference-of-squares_binary64_5844` `distribute-rgt-out_binary64_5828` `associate--l-_binary64_5813`
10×	`cube-prod_binary64_5903` `mul0-rgt_binary64_5858` `mul0-lft_binary64_5857`
8×	`mul-1-neg_binary64_5867`
6×	`log-rec_binary64_5963` `remove-double-neg_binary64_5863`
5×	`cube-mult_binary64_5905` `rem-sqrt-square_binary64_5888`
4×	`--rgt-identity_binary64_5861` `swap-sqr_binary64_5842`
3×	`unpow2_binary64_5940` `unpow1_binary64_5933` `exp-lft-sqr_binary64_5930`
2×	`unpow1/2_binary64_5939` `*-lft-identity_binary64_5864` `distribute-lft-out_binary64_5826`
1×	`div-exp_binary64_5926` `prod-exp_binary64_5924` `1-exp_binary64_5919` `rem-3cbrt-lft_binary64_5900` `sqr-neg_binary64_5889` `rem-square-sqrt_binary64_5887` `count-2_binary64_5823`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_6138` `erf-erfc_binary64_6137` `erf-odd_binary64_6136` `if-if-and-not_binary64_6135` `if-if-and_binary64_6134` `if-if-or-not_binary64_6133` `if-if-or_binary64_6132` `if-not_binary64_6131` `if-same_binary64_6130` `if-false_binary64_6129` `if-true_binary64_6128` `not-gte_binary64_6127` `not-lte_binary64_6126` `not-gt_binary64_6125` `not-lt_binary64_6124` `gte-same_binary64_6123` `lte-same_binary64_6122` `gt-same_binary64_6121` `lt-same_binary64_6120` `sinh---cosh_binary64_6067` `sinh-+-cosh_binary64_6066` `sinh-cosh_binary64_6065` `tanh-def-c_binary64_6064` `tanh-def-b_binary64_6063` `tanh-def-a_binary64_6062` `cosh-def_binary64_6061` `sinh-def_binary64_6060` `tan-neg_binary64_6007` `cos-neg_binary64_6006` `sin-neg_binary64_6005` `tan-0_binary64_6004` `cos-0_binary64_6003` `sin-0_binary64_6002` `hang-m-tan_binary64_6001` `hang-p-tan_binary64_6000` `hang-m0-tan_binary64_5999` `hang-p0-tan_binary64_5998` `hang-0m-tan_binary64_5997` `hang-0p-tan_binary64_5996` `tan-+PI/2_binary64_5995` `tan-+PI_binary64_5994` `tan-PI_binary64_5993` `tan-PI/3_binary64_5992` `tan-PI/4_binary64_5991` `tan-PI/6_binary64_5990` `cos-+PI/2_binary64_5989` `cos-+PI_binary64_5988` `cos-PI_binary64_5987` `cos-PI/2_binary64_5986` `cos-PI/3_binary64_5985` `cos-PI/4_binary64_5984` `cos-PI/6_binary64_5983` `sin-+PI/2_binary64_5982` `sin-+PI_binary64_5981` `sin-PI_binary64_5980` `sin-PI/2_binary64_5979` `sin-PI/3_binary64_5978` `sin-PI/4_binary64_5977` `sin-PI/6_binary64_5976` `sub-1-sin_binary64_5975` `sub-1-cos_binary64_5974` `-1-add-sin_binary64_5973` `-1-add-cos_binary64_5972` `1-sub-sin_binary64_5971` `1-sub-cos_binary64_5970` `cos-sin-sum_binary64_5969` `log-E_binary64_5965` `pow-base-0_binary64_5959` `pow-base-1_binary64_5935` `unpow0_binary64_5934` `unpow-1_binary64_5932` `exp-lft-cube_binary64_5931` `exp-cbrt_binary64_5929` `exp-sqrt_binary64_5928` `rec-exp_binary64_5925` `e-exp-1_binary64_5920` `exp-1-e_binary64_5918` `exp-0_binary64_5917` `rem-log-exp_binary64_5916` `cube-div_binary64_5904` `cube-neg_binary64_5902` `rem-3cbrt-rft_binary64_5901` `rem-cbrt-cube_binary64_5899` `rem-cube-cbrt_binary64_5898` `sqr-abs_binary64_5890` `/-rgt-identity_binary64_5866` `-rgt-identity_binary64_5865` `+-lft-identity_binary64_5859` `div0_binary64_5856` `-inverses_binary64_5855` `+-inverses_binary64_5854` `lft-mult-inverse_binary64_5853` `rgt-mult-inverse_binary64_5852` `remove-double-div_binary64_5851` `difference-of-sqr--1_binary64_5846` `difference-of-sqr-1_binary64_5845` `cancel-sign-sub_binary64_5840` `distribute-frac-neg_binary64_5838` `distribute-neg-out_binary64_5837` `distribute-rgt1-in_binary64_5831` `distribute-lft1-in_binary64_5830` `distribute-rgt-out--_binary64_5829` `distribute-lft-out--_binary64_5827` `associate-/l/_binary64_5822`

Counts

110 → 66

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	195	2212
1	412	2136
2	1000	2104
3	3691	2066
4	4757	2065
5	4893	2065

prune155.0ms (1.1%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	62	4	66
Fresh	2	12	14
Picked	1	0	1
Done	0	0	0
Total	65	16	81

Error

29.1b

Counts

81 → 16

Compiler

Compiled 2962 to 1328 computations (55.2% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.4b	(-.f64 (.f64 g g) (.f64 h h))
8.0b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
28.1b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.1b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite126.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

29.0b

Rules

8×	`add-sqr-sqrt_binary64_5897` `sqrt-prod_binary64_5891`
6×	`pow1_binary64_5936` `add-log-exp_binary64_5914` `add-cube-cbrt_binary64_5910` `*-un-lft-identity_binary64_5875`
4×	`add-exp-log_binary64_5913` `add-cbrt-cube_binary64_5911` `sqrt-div_binary64_5892`
3×	`flip3--_binary64_5879` `flip--_binary64_5850` `difference-of-squares_binary64_5844`
2×	`pow1/2_binary64_5955` `sqrt-pow1_binary64_5893` `rem-sqrt-square_binary64_5888`
1×	`pow1/3_binary64_5957` `associate-*l/_binary64_5818` `cbrt-div_binary64_5907` `cbrt-prod_binary64_5906` `diff-log_binary64_5967` `sub-neg_binary64_5868` `cancel-sign-sub-inv_binary64_5841`

Counts

4 → 55

Calls

4 calls:

9.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))

Compiler

Compiled 2250 to 691 computations (69.3% saved)

series1.2s (8.3%)

Error

29.1b

Counts

4 → 49

Calls

4 calls:

718.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
148.0ms	(-.f64 (.f64 g g) (.f64 h h))
116.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
107.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 4538 to 3191 computations (29.7% saved)

simplify96.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

529×	`associate-/l*_binary64_5820`
432×	`associate-l_binary64_5816`
420×	`associate-/r*_binary64_5819`
130×	`distribute-rgt-in_binary64_5825`
122×	`cancel-sign-sub-inv_binary64_5841`
117×	`distribute-lft-in_binary64_5824`
109×	`associate-*l/_binary64_5818`
105×	`distribute-rgt-neg-in_binary64_5833` `associate-*r/_binary64_5817`
98×	`distribute-lft-neg-in_binary64_5832`
88×	`sub-neg_binary64_5868`
85×	`exp-prod_binary64_5927`
80×	`associate-/r/_binary64_5821` `associate-r_binary64_5815`
74×	`*-commutative_binary64_5806`
65×	`times-frac_binary64_5881`
60×	`sqr-pow_binary64_5847`
57×	`distribute-neg-frac_binary64_5839`
52×	`exp-diff_binary64_5923`
51×	`unswap-sqr_binary64_5843`
41×	`exp-sum_binary64_5921`
40×	`neg-sub0_binary64_5870`
38×	`neg-mul-1_binary64_5871`
32×	`+-commutative_binary64_5805`
24×	`log-div_binary64_5962` `log-prod_binary64_5961` `distribute-neg-in_binary64_5836`
19×	`unpow1/3_binary64_5942`
17×	`unsub-neg_binary64_5869`
16×	`div-sub_binary64_5880` `distribute-lft-neg-out_binary64_5834`
13×	`exp-to-pow_binary64_5937` `distribute-rgt-out_binary64_5828` `associate--r+_binary64_5811`
11×	`pow-plus_binary64_5938` `difference-of-squares_binary64_5844`
9×	`pow-sqr_binary64_5848` `distribute-rgt-neg-out_binary64_5835`
8×	`unpow3_binary64_5941` `associate-+l+_binary64_5808`
7×	`associate-+r+_binary64_5807`
6×	`cube-prod_binary64_5903` `associate-+l-_binary64_5810`
5×	`log-pow_binary64_5964` `cube-unmult_binary64_5912` `associate-+r-_binary64_5809`
4×	`swap-sqr_binary64_5842`
3×	`log-rec_binary64_5963` `cube-mult_binary64_5905` `mul-1-neg_binary64_5867` `associate--r-_binary64_5814` `associate--l-_binary64_5813`
2×	`unpow2_binary64_5940` `unpow1/2_binary64_5939` `unpow1_binary64_5933` `exp-neg_binary64_5922` `rem-sqrt-square_binary64_5888` `remove-double-neg_binary64_5863` `+-rgt-identity_binary64_5860` `distribute-rgt-out--_binary64_5829` `distribute-lft-out_binary64_5826` `associate--l+_binary64_5812`
1×	`div-exp_binary64_5926` `1-exp_binary64_5919` `rem-3cbrt-lft_binary64_5900` `rem-square-sqrt_binary64_5887` `count-2_binary64_5823` `associate-/l/_binary64_5822`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_6138` `erf-erfc_binary64_6137` `erf-odd_binary64_6136` `if-if-and-not_binary64_6135` `if-if-and_binary64_6134` `if-if-or-not_binary64_6133` `if-if-or_binary64_6132` `if-not_binary64_6131` `if-same_binary64_6130` `if-false_binary64_6129` `if-true_binary64_6128` `not-gte_binary64_6127` `not-lte_binary64_6126` `not-gt_binary64_6125` `not-lt_binary64_6124` `gte-same_binary64_6123` `lte-same_binary64_6122` `gt-same_binary64_6121` `lt-same_binary64_6120` `sinh---cosh_binary64_6067` `sinh-+-cosh_binary64_6066` `sinh-cosh_binary64_6065` `tanh-def-c_binary64_6064` `tanh-def-b_binary64_6063` `tanh-def-a_binary64_6062` `cosh-def_binary64_6061` `sinh-def_binary64_6060` `tan-neg_binary64_6007` `cos-neg_binary64_6006` `sin-neg_binary64_6005` `tan-0_binary64_6004` `cos-0_binary64_6003` `sin-0_binary64_6002` `hang-m-tan_binary64_6001` `hang-p-tan_binary64_6000` `hang-m0-tan_binary64_5999` `hang-p0-tan_binary64_5998` `hang-0m-tan_binary64_5997` `hang-0p-tan_binary64_5996` `tan-+PI/2_binary64_5995` `tan-+PI_binary64_5994` `tan-PI_binary64_5993` `tan-PI/3_binary64_5992` `tan-PI/4_binary64_5991` `tan-PI/6_binary64_5990` `cos-+PI/2_binary64_5989` `cos-+PI_binary64_5988` `cos-PI_binary64_5987` `cos-PI/2_binary64_5986` `cos-PI/3_binary64_5985` `cos-PI/4_binary64_5984` `cos-PI/6_binary64_5983` `sin-+PI/2_binary64_5982` `sin-+PI_binary64_5981` `sin-PI_binary64_5980` `sin-PI/2_binary64_5979` `sin-PI/3_binary64_5978` `sin-PI/4_binary64_5977` `sin-PI/6_binary64_5976` `sub-1-sin_binary64_5975` `sub-1-cos_binary64_5974` `-1-add-sin_binary64_5973` `-1-add-cos_binary64_5972` `1-sub-sin_binary64_5971` `1-sub-cos_binary64_5970` `cos-sin-sum_binary64_5969` `log-E_binary64_5965` `pow-base-0_binary64_5959` `pow-base-1_binary64_5935` `unpow0_binary64_5934` `unpow-1_binary64_5932` `exp-lft-cube_binary64_5931` `exp-lft-sqr_binary64_5930` `exp-cbrt_binary64_5929` `exp-sqrt_binary64_5928` `rec-exp_binary64_5925` `prod-exp_binary64_5924` `e-exp-1_binary64_5920` `exp-1-e_binary64_5918` `exp-0_binary64_5917` `rem-log-exp_binary64_5916` `rem-exp-log_binary64_5915` `cube-div_binary64_5904` `cube-neg_binary64_5902` `rem-3cbrt-rft_binary64_5901` `rem-cbrt-cube_binary64_5899` `rem-cube-cbrt_binary64_5898` `sqr-abs_binary64_5890` `sqr-neg_binary64_5889` `/-rgt-identity_binary64_5866` `-rgt-identity_binary64_5865` `-lft-identity_binary64_5864` `sub0-neg_binary64_5862` `--rgt-identity_binary64_5861` `+-lft-identity_binary64_5859` `mul0-rgt_binary64_5858` `mul0-lft_binary64_5857` `div0_binary64_5856` `*-inverses_binary64_5855` `+-inverses_binary64_5854` `lft-mult-inverse_binary64_5853` `rgt-mult-inverse_binary64_5852` `remove-double-div_binary64_5851` `difference-of-sqr--1_binary64_5846` `difference-of-sqr-1_binary64_5845` `cancel-sign-sub_binary64_5840` `distribute-frac-neg_binary64_5838` `distribute-neg-out_binary64_5837` `distribute-rgt1-in_binary64_5831` `distribute-lft1-in_binary64_5830` `distribute-lft-out--_binary64_5827`

Counts

104 → 71

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	190	2046
1	432	1985
2	1285	1960
3	4844	1928
4	4960	1928

prune165.0ms (1.2%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	67	4	71
Fresh	2	13	15
Picked	1	0	1
Done	0	0	0
Total	70	17	87

Error

29.0b

Counts

87 → 17

Compiler

Compiled 3315 to 1534 computations (53.7% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.4b	(-.f64 (.f64 g g) (.f64 h h))
4.4b	(-.f64 (.f64 g g) (.f64 h h))
28.1b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.1b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite129.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

29.0b

Rules

8×	`add-log-exp_binary64_5914` `add-sqr-sqrt_binary64_5897` `sqrt-prod_binary64_5891`
6×	`pow1_binary64_5936` `add-cube-cbrt_binary64_5910` `*-un-lft-identity_binary64_5875`
4×	`add-exp-log_binary64_5913` `add-cbrt-cube_binary64_5911` `flip3--_binary64_5879` `sqrt-div_binary64_5892` `flip--_binary64_5850` `difference-of-squares_binary64_5844`
2×	`pow1/2_binary64_5955` `sqrt-pow1_binary64_5893` `rem-sqrt-square_binary64_5888` `diff-log_binary64_5967` `sub-neg_binary64_5868` `cancel-sign-sub-inv_binary64_5841`

Counts

4 → 58

Calls

4 calls:

4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))

Compiler

Compiled 2584 to 948 computations (63.3% saved)

series639.0ms (4.5%)

Error

29.0b

Counts

4 → 48

Calls

4 calls:

169.0ms	(-.f64 (.f64 g g) (.f64 h h))
161.0ms	(-.f64 (.f64 g g) (.f64 h h))
115.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
103.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 4306 to 3037 computations (29.5% saved)

simplify92.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

545×	`cancel-sign-sub-inv_binary64_5841`
387×	`neg-sub0_binary64_5870`
384×	`neg-mul-1_binary64_5871`
276×	`unswap-sqr_binary64_5843`
224×	`distribute-rgt-neg-in_binary64_5833`
222×	`distribute-lft-neg-in_binary64_5832`
210×	`associate-r_binary64_5815`
199×	`distribute-neg-frac_binary64_5839`
192×	`associate-l_binary64_5816`
171×	`associate-/l/_binary64_5822`
146×	`times-frac_binary64_5881`
122×	`associate-/l*_binary64_5820`
111×	`div-sub_binary64_5880`
92×	`distribute-rgt-in_binary64_5825`
90×	`exp-prod_binary64_5927`
85×	`distribute-lft-in_binary64_5824`
84×	`sub-neg_binary64_5868`
74×	`*-commutative_binary64_5806`
73×	`distribute-lft-neg-out_binary64_5834`
70×	`associate-/r*_binary64_5819`
67×	`distribute-rgt-neg-out_binary64_5835`
58×	`sqr-pow_binary64_5847`
55×	`unsub-neg_binary64_5869`
39×	`exp-sum_binary64_5921` `difference-of-squares_binary64_5844` `distribute-rgt-out_binary64_5828`
36×	`associate-*r/_binary64_5817`
34×	`associate-*l/_binary64_5818`
28×	`+-commutative_binary64_5805`
23×	`pow-plus_binary64_5938`
22×	`distribute-lft-out_binary64_5826`
21×	`cube-prod_binary64_5903`
19×	`cube-unmult_binary64_5912`
17×	`unpow3_binary64_5941`
15×	`swap-sqr_binary64_5842`
14×	`exp-diff_binary64_5923` `associate-+l+_binary64_5808`
13×	`distribute-neg-in_binary64_5836`
11×	`associate-/r/_binary64_5821` `associate--r+_binary64_5811` `associate-+l-_binary64_5810`
10×	`mul0-rgt_binary64_5858` `mul0-lft_binary64_5857` `pow-sqr_binary64_5848`
9×	`sub0-neg_binary64_5862` `+-rgt-identity_binary64_5860` `associate-+r-_binary64_5809`
8×	`mul-1-neg_binary64_5867`
7×	`cube-mult_binary64_5905` `associate-+r+_binary64_5807`
6×	`distribute-rgt-out--_binary64_5829`
5×	`log-prod_binary64_5961` `sqr-neg_binary64_5889` `associate--l+_binary64_5812`
4×	`rem-sqrt-square_binary64_5888` `associate--l-_binary64_5813`
3×	`unpow2_binary64_5940` `exp-neg_binary64_5922`
2×	`unpow1/2_binary64_5939` `unpow1_binary64_5933` `cube-neg_binary64_5902` `distribute-neg-out_binary64_5837` `distribute-lft-out--_binary64_5827`
1×	`div-exp_binary64_5926` `1-exp_binary64_5919` `rem-square-sqrt_binary64_5887` `distribute-frac-neg_binary64_5838` `count-2_binary64_5823`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_6138` `erf-erfc_binary64_6137` `erf-odd_binary64_6136` `if-if-and-not_binary64_6135` `if-if-and_binary64_6134` `if-if-or-not_binary64_6133` `if-if-or_binary64_6132` `if-not_binary64_6131` `if-same_binary64_6130` `if-false_binary64_6129` `if-true_binary64_6128` `not-gte_binary64_6127` `not-lte_binary64_6126` `not-gt_binary64_6125` `not-lt_binary64_6124` `gte-same_binary64_6123` `lte-same_binary64_6122` `gt-same_binary64_6121` `lt-same_binary64_6120` `sinh---cosh_binary64_6067` `sinh-+-cosh_binary64_6066` `sinh-cosh_binary64_6065` `tanh-def-c_binary64_6064` `tanh-def-b_binary64_6063` `tanh-def-a_binary64_6062` `cosh-def_binary64_6061` `sinh-def_binary64_6060` `tan-neg_binary64_6007` `cos-neg_binary64_6006` `sin-neg_binary64_6005` `tan-0_binary64_6004` `cos-0_binary64_6003` `sin-0_binary64_6002` `hang-m-tan_binary64_6001` `hang-p-tan_binary64_6000` `hang-m0-tan_binary64_5999` `hang-p0-tan_binary64_5998` `hang-0m-tan_binary64_5997` `hang-0p-tan_binary64_5996` `tan-+PI/2_binary64_5995` `tan-+PI_binary64_5994` `tan-PI_binary64_5993` `tan-PI/3_binary64_5992` `tan-PI/4_binary64_5991` `tan-PI/6_binary64_5990` `cos-+PI/2_binary64_5989` `cos-+PI_binary64_5988` `cos-PI_binary64_5987` `cos-PI/2_binary64_5986` `cos-PI/3_binary64_5985` `cos-PI/4_binary64_5984` `cos-PI/6_binary64_5983` `sin-+PI/2_binary64_5982` `sin-+PI_binary64_5981` `sin-PI_binary64_5980` `sin-PI/2_binary64_5979` `sin-PI/3_binary64_5978` `sin-PI/4_binary64_5977` `sin-PI/6_binary64_5976` `sub-1-sin_binary64_5975` `sub-1-cos_binary64_5974` `-1-add-sin_binary64_5973` `-1-add-cos_binary64_5972` `1-sub-sin_binary64_5971` `1-sub-cos_binary64_5970` `cos-sin-sum_binary64_5969` `log-E_binary64_5965` `log-pow_binary64_5964` `log-rec_binary64_5963` `log-div_binary64_5962` `pow-base-0_binary64_5959` `unpow1/3_binary64_5942` `exp-to-pow_binary64_5937` `pow-base-1_binary64_5935` `unpow0_binary64_5934` `unpow-1_binary64_5932` `exp-lft-cube_binary64_5931` `exp-lft-sqr_binary64_5930` `exp-cbrt_binary64_5929` `exp-sqrt_binary64_5928` `rec-exp_binary64_5925` `prod-exp_binary64_5924` `e-exp-1_binary64_5920` `exp-1-e_binary64_5918` `exp-0_binary64_5917` `rem-log-exp_binary64_5916` `rem-exp-log_binary64_5915` `cube-div_binary64_5904` `rem-3cbrt-rft_binary64_5901` `rem-3cbrt-lft_binary64_5900` `rem-cbrt-cube_binary64_5899` `rem-cube-cbrt_binary64_5898` `sqr-abs_binary64_5890` `/-rgt-identity_binary64_5866` `-rgt-identity_binary64_5865` `-lft-identity_binary64_5864` `remove-double-neg_binary64_5863` `--rgt-identity_binary64_5861` `+-lft-identity_binary64_5859` `div0_binary64_5856` `*-inverses_binary64_5855` `+-inverses_binary64_5854` `lft-mult-inverse_binary64_5853` `rgt-mult-inverse_binary64_5852` `remove-double-div_binary64_5851` `difference-of-sqr--1_binary64_5846` `difference-of-sqr-1_binary64_5845` `cancel-sign-sub_binary64_5840` `distribute-rgt1-in_binary64_5831` `distribute-lft1-in_binary64_5830` `associate--r-_binary64_5814`

Counts

106 → 70

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	83	1546
1	187	1450
2	536	1450
3	2201	1450
4	4331	1450
5	5171	1450

prune119.0ms (0.8%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	16	16
Picked	0	1	1
Done	0	0	0
Total	70	17	87

Error

29.0b

Counts

87 → 17

Compiler

Compiled 2726 to 1221 computations (55.2% saved)

regimes2.3s (16%)

Accuracy

Total 1.7b remaining (5.3%)

Threshold costs 0b (0%)

Compiler

Compiled 32701 to 19682 computations (39.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

7×	`+-commutative_binary64_5805`
5×	`sub-neg_binary64_5868` `*-commutative_binary64_5806`
3×	`neg-mul-1_binary64_5871` `neg-sub0_binary64_5870`
1×	`cancel-sign-sub-inv_binary64_5841` `distribute-lft-neg-out_binary64_5834` `distribute-rgt-neg-in_binary64_5833`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_6135` `if-if-and_binary64_6134` `if-if-or-not_binary64_6133` `if-if-or_binary64_6132` `if-not_binary64_6131` `if-same_binary64_6130` `if-false_binary64_6129` `if-true_binary64_6128` `tan-0_binary64_6004` `cos-0_binary64_6003` `sin-0_binary64_6002` `unpow1_binary64_5933` `e-exp-1_binary64_5920` `1-exp_binary64_5919` `exp-1-e_binary64_5918` `exp-0_binary64_5917` `sqr-abs_binary64_5890` `sqr-neg_binary64_5889` `unsub-neg_binary64_5869` `mul-1-neg_binary64_5867` `/-rgt-identity_binary64_5866` `-rgt-identity_binary64_5865` `-lft-identity_binary64_5864` `remove-double-neg_binary64_5863` `sub0-neg_binary64_5862` `--rgt-identity_binary64_5861` `+-rgt-identity_binary64_5860` `+-lft-identity_binary64_5859` `cancel-sign-sub_binary64_5840` `distribute-neg-frac_binary64_5839` `distribute-frac-neg_binary64_5838` `distribute-neg-out_binary64_5837` `distribute-neg-in_binary64_5836` `distribute-rgt-neg-out_binary64_5835` `distribute-lft-neg-in_binary64_5832`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	52
1	32	52
2	42	52
3	48	52
4	51	52
5	51	52

end0.0ms (0%)

sample4.8s (33.6%)

Algorithm

1×

intervals

Results

1.2s	7563×	body	256	valid
92.0ms	1159×	body	128	nan
42.0ms	437×	body	128	valid

Compiler

Compiled 4728 to 2845 computations (39.8% saved)

Details

analyze652.0ms (4.6%)

sample58.0ms (0.4%)

simplify230.0ms (1.6%)

prune6.0ms (0%)

localize17.0ms (0.1%)

rewrite160.0ms (1.1%)

series1.7s (11.8%)

simplify87.0ms (0.6%)

prune161.0ms (1.1%)

localize19.0ms (0.1%)

rewrite142.0ms (1%)

series1.1s (7.7%)

simplify123.0ms (0.9%)

prune155.0ms (1.1%)

localize19.0ms (0.1%)

rewrite126.0ms (0.9%)

series1.2s (8.3%)

simplify96.0ms (0.7%)

prune165.0ms (1.2%)

localize26.0ms (0.2%)

rewrite129.0ms (0.9%)

series639.0ms (4.5%)

simplify92.0ms (0.6%)

prune119.0ms (0.8%)

regimes2.3s (16%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample4.8s (33.6%)

Profiling