Details

analyze558.0ms (5.2%)

Algorithm

1×	search
2×	egg-herbie

Rules

756×	`neg-mul-1_binary64`
741×	`neg-sub0_binary64`
638×	`associate-/l*_binary64`
470×	`distribute-frac-neg_binary64`
468×	`div-sub_binary64`
448×	`unsub-neg_binary64`
352×	`sub-neg_binary64`
260×	`distribute-rgt-in_binary64`
256×	`times-frac_binary64`
236×	`distribute-lft-neg-out_binary64`
234×	`distribute-rgt-neg-out_binary64`
198×	`distribute-lft-in_binary64` `associate-*l/_binary64`
187×	`associate-l_binary64`
177×	`cancel-sign-sub-inv_binary64`
173×	`associate-*r/_binary64`
172×	`distribute-neg-frac_binary64`
170×	`associate-r_binary64`
155×	`associate-/r/_binary64`
149×	`associate-/r*_binary64`
122×	`*-lft-identity_binary64`
117×	`associate-/l/_binary64`
103×	`*-rgt-identity_binary64`
97×	`*-commutative_binary64`
90×	`remove-double-neg_binary64`
82×	`distribute-rgt-neg-in_binary64`
78×	`cancel-sign-sub_binary64`
77×	`/-rgt-identity_binary64`
53×	`div0_binary64`
44×	`distribute-rgt-out_binary64` `associate--r+_binary64` `+-commutative_binary64`
42×	`distribute-lft-neg-in_binary64`
40×	`distribute-rgt-out--_binary64`
34×	`+-lft-identity_binary64`
32×	`associate-+l-_binary64` `associate-+r+_binary64`
29×	`distribute-neg-in_binary64`
28×	`sub0-neg_binary64` `distribute-neg-out_binary64`
24×	`associate-+r-_binary64`
22×	`associate-+l+_binary64`
19×	`+-rgt-identity_binary64`
17×	`remove-double-div_binary64`
16×	`difference-of-squares_binary64`
15×	`mul0-rgt_binary64` `mul0-lft_binary64`
12×	`distribute-lft-out_binary64`
10×	`associate--r-_binary64`
8×	`associate--l+_binary64`
6×	`swap-sqr_binary64`
4×	`associate--l-_binary64`
3×	`sqr-neg_binary64` `--rgt-identity_binary64`
2×	`mul-1-neg_binary64`
1×	`1-exp_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `unswap-sqr_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64`

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 (0.5%)

Algorithm

1×

intervals

Results

40.0ms	236×	body	256	valid
3.0ms	42×	body	128	nan
2.0ms	20×	body	128	valid

Compiler

Compiled 75 to 50 computations (33.3% saved)

simplify242.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

637×	`associate-/l*_binary64`
634×	`div-sub_binary64`
582×	`unsub-neg_binary64`
519×	`sub-neg_binary64`
502×	`times-frac_binary64`
356×	`distribute-rgt-out--_binary64`
307×	`neg-mul-1_binary64`
295×	`distribute-rgt-neg-in_binary64`
286×	`associate-/l/_binary64`
280×	`neg-sub0_binary64`
252×	`associate-/r/_binary64`
250×	`distribute-lft-neg-out_binary64`
246×	`distribute-neg-out_binary64`
212×	`associate-/r_binary64` `-commutative_binary64`
210×	`+-commutative_binary64`
208×	`distribute-rgt-out_binary64`
203×	`distribute-rgt-in_binary64`
199×	`distribute-rgt-neg-out_binary64`
186×	`distribute-neg-frac_binary64`
160×	`associate-*r/_binary64`
145×	`cancel-sign-sub-inv_binary64`
137×	`associate-*l/_binary64`
133×	`distribute-neg-in_binary64`
123×	`distribute-lft-in_binary64`
113×	`associate-+l+_binary64`
106×	`distribute-lft-out--_binary64`
100×	`distribute-frac-neg_binary64`
98×	`associate-+l-_binary64`
90×	`associate-l_binary64`
81×	`associate-+r+_binary64`
78×	`associate-r_binary64` `associate--r-_binary64`
63×	`associate--r+_binary64`
59×	`distribute-lft-neg-in_binary64`
46×	`*-lft-identity_binary64`
44×	`associate-+r-_binary64`
43×	`*-rgt-identity_binary64` `distribute-lft-out_binary64`
35×	`remove-double-neg_binary64` `sub0-neg_binary64`
34×	`associate--l+_binary64`
27×	`mul0-rgt_binary64` `swap-sqr_binary64`
25×	`mul0-lft_binary64`
24×	`distribute-rgt1-in_binary64`
23×	`associate--l-_binary64`
20×	`mul-1-neg_binary64`
18×	`div0_binary64`
14×	`cancel-sign-sub_binary64`
9×	`+-lft-identity_binary64`
6×	`+-rgt-identity_binary64`
5×	`sqr-neg_binary64`
4×	`/-rgt-identity_binary64` `--rgt-identity_binary64` `+-inverses_binary64`
2×	`difference-of-squares_binary64` `distribute-lft1-in_binary64`
1×	`1-exp_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `unswap-sqr_binary64` `count-2_binary64`

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

prune4.0ms (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

34.5b

Counts

2 → 2

Compiler

Compiled 99 to 59 computations (40.4% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

8.9b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
9.1b	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
28.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite173.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

30.5b

Rules

14×	`add-sqr-sqrt_binary64`
11×	`cbrt-prod_binary64`
10×	`*-un-lft-identity_binary64`
9×	`sqrt-prod_binary64`
8×	`add-cube-cbrt_binary64`
6×	`pow1_binary64` `times-frac_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-div_binary64` `difference-of-squares_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `flip3--_binary64` `flip--_binary64` `rem-sqrt-square_binary64` `pow1/3_binary64` `cbrt-div_binary64`
1×	`distribute-lft-out--_binary64` `div-inv_binary64` `associate-*l/_binary64`

Counts

4 → 61

Calls

4 calls:

8.0ms	(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)))
6.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 2345 to 702 computations (70.1% saved)

series429.0ms (4%)

Error

31.0b

Counts

4 → 58

Calls

4 calls:

126.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
122.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
36.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
35.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 5739 to 4188 computations (27% saved)

simplify98.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

694×	`associate-l_binary64`
279×	`associate-*r/_binary64`
258×	`associate-*l/_binary64`
219×	`associate-/r/_binary64`
165×	`times-frac_binary64`
133×	`cancel-sign-sub-inv_binary64`
132×	`associate-r_binary64`
120×	`sub-neg_binary64`
115×	`*-commutative_binary64`
106×	`distribute-rgt-neg-in_binary64`
99×	`distribute-lft-neg-in_binary64`
94×	`distribute-rgt-in_binary64`
86×	`associate-/r*_binary64`
82×	`associate-/l*_binary64`
81×	`distribute-lft-in_binary64`
80×	`distribute-neg-frac_binary64`
72×	`unswap-sqr_binary64`
67×	`sqr-pow_binary64`
61×	`exp-sum_binary64`
60×	`+-commutative_binary64`
48×	`neg-sub0_binary64`
46×	`exp-prod_binary64`
45×	`neg-mul-1_binary64`
33×	`div-sub_binary64`
29×	`exp-diff_binary64` `associate-+l+_binary64`
27×	`unsub-neg_binary64`
26×	`distribute-neg-in_binary64`
25×	`associate-+r+_binary64`
18×	`distribute-lft-neg-out_binary64`
17×	`log-div_binary64`
14×	`associate--r+_binary64`
13×	`unpow1/3_binary64`
11×	`pow-sqr_binary64` `difference-of-squares_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt-out_binary64` `associate-+l-_binary64`
10×	`log-prod_binary64`
9×	`exp-to-pow_binary64`
8×	`associate-+r-_binary64`
6×	`associate--l+_binary64`
5×	`cube-unmult_binary64`
4×	`unpow3_binary64` `exp-neg_binary64` `cube-prod_binary64` `associate--r-_binary64` `associate--l-_binary64`
3×	`log-pow_binary64` `log-rec_binary64` `pow-plus_binary64` `cube-mult_binary64` `rem-sqrt-square_binary64` `mul-1-neg_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `rem-3cbrt-lft_binary64` `remove-double-neg_binary64` `distribute-lft-out_binary64`
1×	`exp-lft-sqr_binary64` `1-exp_binary64` `rem-square-sqrt_binary64` `+-rgt-identity_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate-/l/_binary64`

Counts

119 → 78

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	289	3559
1	658	3529
2	2055	3411
3	5542	3411

prune169.0ms (1.6%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	60	18	78
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	61	19	80

Error

30.6b

Counts

80 → 19

Compiler

Compiled 3566 to 1800 computations (49.5% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.6b	(-.f64 (.f64 g g) (.f64 h h))
8.9b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
28.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite255.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

30.5b

Rules

8×	`add-sqr-sqrt_binary64` `sqrt-prod_binary64`
6×	`pow1_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-div_binary64`
3×	`flip3--_binary64` `flip--_binary64` `difference-of-squares_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`
1×	`pow1/3_binary64` `associate-*l/_binary64` `cbrt-div_binary64` `cbrt-prod_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64`

Counts

4 → 55

Calls

4 calls:

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

Compiler

Compiled 2164 to 675 computations (68.8% saved)

series383.0ms (3.6%)

Error

30.4b

Counts

4 → 55

Calls

4 calls:

121.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
35.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
33.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
31.0ms	(-.f64 (.f64 g g) (.f64 h h))

Compiler

Compiled 4499 to 3263 computations (27.5% saved)

simplify74.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

575×	`associate-/l*_binary64`
510×	`associate-r_binary64`
437×	`associate-/r*_binary64`
397×	`associate-l_binary64`
121×	`distribute-rgt-in_binary64`
118×	`associate-*l/_binary64`
114×	`distribute-lft-in_binary64`
104×	`associate-*r/_binary64`
94×	`associate-/r/_binary64`
76×	`sub-neg_binary64` `cancel-sign-sub-inv_binary64`
72×	`*-commutative_binary64`
69×	`times-frac_binary64`
59×	`distribute-rgt-neg-in_binary64`
57×	`sqr-pow_binary64`
53×	`distribute-lft-neg-in_binary64`
49×	`unswap-sqr_binary64`
41×	`exp-sum_binary64`
37×	`+-commutative_binary64`
35×	`distribute-neg-frac_binary64`
34×	`exp-prod_binary64`
30×	`neg-sub0_binary64`
28×	`neg-mul-1_binary64`
19×	`exp-diff_binary64`
17×	`associate-+l+_binary64`
16×	`div-sub_binary64`
15×	`distribute-lft-neg-out_binary64`
14×	`unsub-neg_binary64`
13×	`distribute-neg-in_binary64` `associate-+r+_binary64`
12×	`log-div_binary64`
11×	`log-prod_binary64` `difference-of-squares_binary64` `distribute-rgt-out_binary64`
9×	`pow-sqr_binary64` `distribute-rgt-neg-out_binary64`
8×	`unpow1/3_binary64`
7×	`associate--r+_binary64`
6×	`cube-prod_binary64` `associate-+l-_binary64`
5×	`exp-to-pow_binary64` `cube-unmult_binary64` `associate--l+_binary64` `associate-+r-_binary64`
4×	`unpow3_binary64` `pow-plus_binary64` `swap-sqr_binary64`
3×	`log-pow_binary64` `log-rec_binary64` `cube-mult_binary64` `mul-1-neg_binary64` `associate--r-_binary64` `associate--l-_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `exp-neg_binary64` `rem-sqrt-square_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64` `distribute-lft-out_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `count-2_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate-/l/_binary64`

Counts

110 → 77

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	191	2298
1	429	2251
2	1254	2211
3	5337	2211

prune460.0ms (4.3%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	72	5	77
Fresh	4	14	18
Picked	1	0	1
Done	0	0	0
Total	77	19	96

Error

30.4b

Counts

96 → 19

Compiler

Compiled 3046 to 1477 computations (51.5% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.6b	(-.f64 (.f64 g g) (.f64 h h))
3.6b	(-.f64 (.f64 g g) (.f64 h h))
28.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite279.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

30.4b

Rules

8×	`add-log-exp_binary64` `add-sqr-sqrt_binary64` `sqrt-prod_binary64`
6×	`pow1_binary64` `add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3--_binary64` `sqrt-div_binary64` `flip--_binary64` `difference-of-squares_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64`

Counts

4 → 58

Calls

4 calls:

6.0ms	(-.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	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 2322 to 728 computations (68.6% saved)

series259.0ms (2.4%)

Error

30.4b

Counts

4 → 54

Calls

4 calls:

36.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
35.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
34.0ms	(-.f64 (.f64 g g) (.f64 h h))
33.0ms	(-.f64 (.f64 g g) (.f64 h h))

Compiler

Compiled 3532 to 2519 computations (28.7% saved)

simplify117.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

550×	`cancel-sign-sub-inv_binary64`
389×	`neg-mul-1_binary64`
276×	`unswap-sqr_binary64`
224×	`distribute-rgt-neg-in_binary64`
222×	`distribute-lft-neg-in_binary64`
210×	`associate-r_binary64`
199×	`distribute-neg-frac_binary64`
192×	`associate-l_binary64`
171×	`associate-/l/_binary64`
146×	`times-frac_binary64`
122×	`associate-/l*_binary64`
111×	`div-sub_binary64`
94×	`sub-neg_binary64`
92×	`distribute-rgt-in_binary64`
90×	`exp-prod_binary64`
85×	`distribute-lft-in_binary64`
74×	`*-commutative_binary64`
73×	`distribute-lft-neg-out_binary64`
70×	`associate-/r*_binary64`
67×	`distribute-rgt-neg-out_binary64`
61×	`neg-sub0_binary64`
59×	`unsub-neg_binary64`
58×	`sqr-pow_binary64`
39×	`exp-sum_binary64` `difference-of-squares_binary64` `distribute-rgt-out_binary64`
36×	`unpow3_binary64` `associate-*r/_binary64`
35×	`+-commutative_binary64`
34×	`associate-*l/_binary64`
26×	`associate-+l+_binary64`
23×	`pow-plus_binary64`
22×	`distribute-lft-out_binary64`
21×	`cube-prod_binary64`
19×	`cube-unmult_binary64`
16×	`associate-+l-_binary64` `associate-+r+_binary64`
15×	`swap-sqr_binary64`
14×	`exp-diff_binary64` `+-rgt-identity_binary64` `associate-+r-_binary64`
13×	`distribute-neg-in_binary64` `associate--l+_binary64`
12×	`sub0-neg_binary64`
11×	`associate-/r/_binary64` `associate--r+_binary64`
10×	`mul0-rgt_binary64` `mul0-lft_binary64` `pow-sqr_binary64`
8×	`mul-1-neg_binary64`
7×	`log-prod_binary64` `cube-mult_binary64`
6×	`distribute-rgt-out--_binary64`
5×	`sqr-neg_binary64`
4×	`rem-sqrt-square_binary64` `associate--l-_binary64`
3×	`unpow2_binary64` `exp-neg_binary64`
2×	`unpow1/2_binary64` `unpow1_binary64` `cube-neg_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `rem-square-sqrt_binary64` `distribute-frac-neg_binary64` `count-2_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64`

Counts

112 → 76

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	86	1714
1	195	1618
2	558	1618
3	2264	1618
4	4394	1618
5	4987	1618
6	4929	1618

prune222.0ms (2.1%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	73	3	76
Fresh	1	17	18
Picked	1	0	1
Done	0	0	0
Total	75	20	95

Error

30.4b

Counts

95 → 20

Compiler

Compiled 2557 to 1246 computations (51.3% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

8.9b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
9.1b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
28.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
28.0b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite336.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

30.3b

Rules

10×	`cbrt-div_binary64`
8×	`add-sqr-sqrt_binary64` `sqrt-prod_binary64`
6×	`pow1_binary64` `add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3--_binary64` `sqrt-div_binary64` `flip--_binary64` `frac-times_binary64` `associate-*r/_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `difference-of-squares_binary64` `rem-sqrt-square_binary64` `pow1/3_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-*l/_binary64` `cbrt-prod_binary64`

Counts

4 → 60

Calls

4 calls:

13.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
12.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 2902 to 1013 computations (65.1% saved)

series547.0ms (5.1%)

Error

30.2b

Counts

4 → 58

Calls

4 calls:

124.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
120.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
37.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
37.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 6300 to 4667 computations (25.9% saved)

simplify172.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

213×	`times-frac_binary64`
204×	`cancel-sign-sub-inv_binary64`
197×	`associate-r_binary64`
160×	`exp-sum_binary64`
151×	`sub-neg_binary64` `distribute-rgt-neg-in_binary64`
142×	`*-commutative_binary64`
138×	`distribute-lft-neg-in_binary64` `associate-l_binary64`
124×	`div-sub_binary64` `distribute-frac-neg_binary64`
122×	`distribute-rgt-neg-out_binary64`
121×	`distribute-lft-neg-out_binary64`
110×	`log-prod_binary64`
100×	`associate-/r*_binary64`
96×	`associate-/l*_binary64`
90×	`exp-prod_binary64`
86×	`unsub-neg_binary64`
85×	`unswap-sqr_binary64`
81×	`neg-sub0_binary64`
79×	`distribute-neg-frac_binary64`
77×	`exp-diff_binary64`
74×	`neg-mul-1_binary64`
72×	`sqr-pow_binary64` `+-commutative_binary64`
60×	`log-div_binary64`
55×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
44×	`distribute-neg-out_binary64`
43×	`associate-l/_binary64` `associate-r/_binary64`
38×	`distribute-neg-in_binary64`
35×	`cube-prod_binary64`
32×	`unpow1/3_binary64`
31×	`associate-+l+_binary64`
30×	`associate-+r+_binary64`
25×	`rem-exp-log_binary64`
24×	`difference-of-squares_binary64`
22×	`exp-to-pow_binary64`
19×	`log-pow_binary64`
17×	`*-lft-identity_binary64`
16×	`associate-+l-_binary64`
15×	`associate--r+_binary64`
14×	`exp-neg_binary64` `associate-+r-_binary64`
13×	`*-rgt-identity_binary64`
12×	`pow-sqr_binary64`
11×	`associate-/r/_binary64`
10×	`log-rec_binary64` `unpow3_binary64`
9×	`cube-unmult_binary64`
8×	`pow-plus_binary64`
7×	`associate--l+_binary64`
6×	`remove-double-neg_binary64` `swap-sqr_binary64` `associate--r-_binary64` `associate--l-_binary64`
5×	`cube-mult_binary64` `distribute-rgt-out_binary64`
4×	`cube-neg_binary64` `mul-1-neg_binary64` `+-rgt-identity_binary64`
3×	`sqr-neg_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `exp-lft-sqr_binary64` `rem-3cbrt-lft_binary64` `rem-sqrt-square_binary64` `sub0-neg_binary64` `cancel-sign-sub_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_binary64` `--rgt-identity_binary64` `+-inverses_binary64` `distribute-rgt-out--_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64`

Counts

118 → 90

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	303	3606
1	766	3584
2	2715	3417
3	4649	3217
4	4925	3217
5	4990	3217

prune365.0ms (3.4%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	80	10	90
Fresh	9	10	19
Picked	1	0	1
Done	0	0	0
Total	90	20	110

Error

29.9b

Counts

110 → 20

Compiler

Compiled 3704 to 1691 computations (54.3% saved)

regimes3.1s (29%)

Accuracy

Total 2.4b remaining (7.8%)

Threshold costs 0b (0%)

Compiler

Compiled 65988 to 41593 computations (37% saved)

bsearch14.0ms (0.1%)

Compiler: Compiled 37 to 23 computations (37.8% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`+-commutative_binary64`
14×	`*-commutative_binary64`
11×	`sub-neg_binary64`
8×	`neg-mul-1_binary64` `neg-sub0_binary64`
2×	`unsub-neg_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64`
1×	`1-exp_binary64` `cancel-sign-sub-inv_binary64` `distribute-neg-frac_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-in_binary64`
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` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	42	116
1	66	114
2	80	114
3	94	114
4	103	112
5	110	112
6	113	112
7	114	112
8	112	112

end2.0ms (0%)

Compiler: Compiled 72 to 42 computations (41.7% saved)

sample2.4s (21.9%)

Algorithm

1×

intervals

Results

1.3s	7518×	body	256	valid
104.0ms	1238×	body	128	nan
44.0ms	482×	body	128	valid

Compiler

Compiled 917 to 556 computations (39.4% saved)

Details

analyze558.0ms (5.2%)

sample58.0ms (0.5%)

simplify242.0ms (2.2%)

prune4.0ms (0%)

localize22.0ms (0.2%)

rewrite173.0ms (1.6%)

series429.0ms (4%)

simplify98.0ms (0.9%)

prune169.0ms (1.6%)

localize18.0ms (0.2%)

rewrite255.0ms (2.4%)

series383.0ms (3.6%)

simplify74.0ms (0.7%)

prune460.0ms (4.3%)

localize21.0ms (0.2%)

rewrite279.0ms (2.6%)

series259.0ms (2.4%)

simplify117.0ms (1.1%)

prune222.0ms (2.1%)

localize19.0ms (0.2%)

rewrite336.0ms (3.1%)

series547.0ms (5.1%)

simplify172.0ms (1.6%)

prune365.0ms (3.4%)

regimes3.1s (29%)

bsearch14.0ms (0.1%)

simplify9.0ms (0.1%)

end2.0ms (0%)

sample2.4s (21.9%)

Profiling