Details

analyze962.0ms (16.7%)

Algorithm

1×	search
2×	egg-herbie

Rules

932×	`div-sub_binary64`
642×	`unsub-neg_binary64`
471×	`neg-mul-1_binary64`
374×	`sub-neg_binary64`
302×	`distribute-rgt-in_binary64`
293×	`neg-sub0_binary64`
262×	`times-frac_binary64`
247×	`cancel-sign-sub-inv_binary64`
244×	`distribute-frac-neg_binary64`
223×	`distribute-lft-in_binary64`
156×	`+-commutative_binary64`
155×	`associate-+r+_binary64`
143×	`associate-+l+_binary64`
127×	`distribute-rgt-neg-out_binary64`
120×	`associate-/l*_binary64`
91×	`associate--r+_binary64`
81×	`*-commutative_binary64`
65×	`distribute-neg-in_binary64`
63×	`mul0-rgt_binary64` `mul0-lft_binary64`
57×	`associate-+l-_binary64`
54×	`associate-/r/_binary64`
51×	`associate-*l/_binary64`
46×	`associate-r_binary64`
45×	`distribute-neg-frac_binary64` `associate-+r-_binary64`
39×	`associate-*r/_binary64`
38×	`distribute-lft-neg-out_binary64`
34×	`sub0-neg_binary64`
30×	`associate-l_binary64`
27×	`div0_binary64`
25×	`associate--r-_binary64`
24×	`+-rgt-identity_binary64`
21×	`distribute-neg-out_binary64`
20×	`distribute-lft-neg-in_binary64`
16×	`remove-double-neg_binary64`
15×	`distribute-rgt-neg-in_binary64`
7×	`mul-1-neg_binary64`
6×	`associate--l+_binary64`
3×	`*-lft-identity_binary64` `+-lft-identity_binary64`
2×	`distribute-rgt-out_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` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `--rgt-identity_binary64` `-inverses_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` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r*_binary64` `associate--l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	176
1	109	176
2	250	176
3	511	176
4	1114	176
5	2425	176
6	4285	176
7	4865	176
0	5	5
1	5	5

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
2.3%	97.4%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
33.2%	66.5%	0.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample24.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	20×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify390.0ms (6.8%)

Algorithm

1×	egg-herbie

Rules

1389×	`associate-/l*_binary64`
1315×	`div-sub_binary64`
1026×	`distribute-rgt-in_binary64`
988×	`sub-neg_binary64`
917×	`associate-/l/_binary64`
672×	`associate-/r/_binary64`
641×	`distribute-lft-in_binary64`
615×	`unsub-neg_binary64`
504×	`times-frac_binary64`
357×	`associate-/r*_binary64`
332×	`distribute-rgt-neg-in_binary64`
331×	`distribute-neg-frac_binary64`
299×	`*-commutative_binary64`
282×	`distribute-rgt-neg-out_binary64`
271×	`distribute-lft-neg-in_binary64`
248×	`neg-mul-1_binary64`
230×	`distribute-lft-neg-out_binary64`
220×	`neg-sub0_binary64`
206×	`cancel-sign-sub-inv_binary64`
178×	`distribute-frac-neg_binary64`
168×	`associate--r+_binary64`
157×	`associate-*l/_binary64`
141×	`associate--r-_binary64`
138×	`associate-r_binary64`
132×	`+-commutative_binary64`
119×	`associate-*r/_binary64`
105×	`cancel-sign-sub_binary64`
102×	`associate--l-_binary64` `associate-+l-_binary64`
95×	`distribute-neg-in_binary64` `associate--l+_binary64`
87×	`associate-l_binary64`
86×	`associate-+r-_binary64`
85×	`mul0-rgt_binary64`
80×	`mul0-lft_binary64`
77×	`div0_binary64`
47×	`remove-double-neg_binary64`
35×	`/-rgt-identity_binary64`
34×	`remove-double-div_binary64` `distribute-rgt-out--_binary64`
30×	`distribute-rgt-out_binary64`
28×	`*-lft-identity_binary64`
24×	`sub0-neg_binary64` `associate-+l+_binary64`
23×	`*-rgt-identity_binary64`
22×	`associate-+r+_binary64`
21×	`distribute-neg-out_binary64`
17×	`--rgt-identity_binary64` `+-lft-identity_binary64`
12×	`distribute-lft-out_binary64`
11×	`+-rgt-identity_binary64`
5×	`distribute-lft-out--_binary64`
2×	`mul-1-neg_binary64`
1×	`1-exp_binary64` `*-inverses_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` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_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` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	19	16
2	40	16
3	77	16
4	149	16
5	245	16
6	544	16
7	1327	16
8	2754	16
9	2585	16
10	2661	16
11	2686	16
12	2736	16
13	2765	16
14	4127	16
15	3275	16
16	3417	16
17	3541	16
18	3541	16
19	4037	16
20	3789	16
21	3789	16
22	3337	16
23	3356	16
24	3218	16
25	3218	16
26	3218	16
27	4977	16

prune6.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

15.3b

Counts

1 → 1

Compiler

Compiled 11 to 10 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))
0.0b	(*.f64 y (-.f64 z t))
15.8b	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))

rewrite89.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-cube-cbrt_binary64`
6×	`cancel-sign-sub-inv_binary64`
5×	`pow1_binary64` `add-log-exp_binary64` `times-frac_binary64` `associate-/r_binary64` `associate-r*_binary64`
4×	`associate-*r/_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
3×	`difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip3--_binary64` `flip--_binary64` `associate-l_binary64`
2×	`prod-exp_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `cbrt-unprod_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `sub-neg_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l_binary64` `pow-prod-down_binary64` `unswap-sqr_binary64` `-commutative_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `+-commutative_binary64`

Counts

3 → 71

Calls

3 calls:

10.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
7.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))
7.0ms	(*.f64 y (-.f64 z t))

Compiler

Compiled 1259 to 314 computations (75.1% saved)

series237.0ms (4.1%)

Error

0.0b

Counts

3 → 78

Calls

3 calls:

110.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))
69.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
26.0ms	(*.f64 y (-.f64 z t))

Compiler

Compiled 2823 to 1893 computations (32.9% saved)

simplify124.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

603×	`cancel-sign-sub-inv_binary64`
484×	`distribute-rgt-in_binary64`
459×	`distribute-lft-in_binary64`
230×	`sub-neg_binary64`
159×	`exp-prod_binary64`
137×	`associate-/l*_binary64`
106×	`div-sub_binary64` `associate-l_binary64`
99×	`+-commutative_binary64`
98×	`times-frac_binary64` `associate-r_binary64`
95×	`distribute-rgt-neg-in_binary64`
88×	`associate--l+_binary64`
83×	`*-commutative_binary64`
79×	`distribute-neg-frac_binary64` `distribute-lft-neg-in_binary64`
67×	`associate--r+_binary64`
59×	`associate-*l/_binary64`
54×	`neg-sub0_binary64`
52×	`distribute-lft-neg-out_binary64` `associate-/r*_binary64`
50×	`neg-mul-1_binary64`
46×	`distribute-rgt-neg-out_binary64`
45×	`associate-+l+_binary64`
44×	`associate-*r/_binary64`
39×	`associate-/r/_binary64`
38×	`sqr-pow_binary64`
36×	`associate-+r+_binary64`
35×	`*-rgt-identity_binary64`
34×	`distribute-neg-in_binary64`
33×	`log-div_binary64`
32×	`log-prod_binary64`
31×	`associate-/l/_binary64`
27×	`distribute-rgt-out_binary64`
26×	`unsub-neg_binary64`
24×	`*-lft-identity_binary64`
23×	`cube-div_binary64`
20×	`unpow3_binary64` `/-rgt-identity_binary64`
18×	`cube-prod_binary64`
16×	`unswap-sqr_binary64`
12×	`exp-sum_binary64` `distribute-rgt-out--_binary64`
11×	`swap-sqr_binary64`
9×	`difference-of-squares_binary64`
8×	`cube-mult_binary64`
6×	`exp-diff_binary64` `distribute-lft-out_binary64`
5×	`log-rec_binary64` `remove-double-neg_binary64` `distribute-rgt1-in_binary64`
4×	`cube-unmult_binary64` `mul-1-neg_binary64`
3×	`unpow1/2_binary64` `rem-sqrt-square_binary64` `cancel-sign-sub_binary64`
2×	`unpow2_binary64` `pow-plus_binary64` `unpow1_binary64` `exp-neg_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate-+r-_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `+-rgt-identity_binary64` `div0_binary64` `pow-sqr_binary64` `distribute-frac-neg_binary64` `associate-+l-_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` `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` `div-exp_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_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` `distribute-neg-out_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

149 → 109

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	225	2830
1	610	2677
2	2267	2479
3	4910	2479
4	5040	2479

prune58.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	105	4	109
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	105	5	110

Error

0.0b

Counts

110 → 5

Compiler

Compiled 1183 to 309 computations (73.9% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
0.0b	(/.f64 (-.f64 z t) (-.f64 z a))
2.0b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

rewrite140.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

76×	`add-sqr-sqrt_binary64`
71×	`*-un-lft-identity_binary64`
51×	`times-frac_binary64`
31×	`associate-r_binary64`
27×	`add-cube-cbrt_binary64`
22×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow1_binary64` `add-log-exp_binary64` `associate-/l_binary64` `associate-/r_binary64`
4×	`associate-/r/_binary64`
3×	`associate-l_binary64` `flip3--_binary64` `flip--_binary64`
2×	`div-exp_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-inv_binary64` `associate-/l/_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

3 → 113

Calls

3 calls:

15.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
11.0ms	(/.f64 (-.f64 z t) (-.f64 z a))
3.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))

Compiler

Compiled 1958 to 420 computations (78.5% saved)

series286.0ms (5%)

Error

0.0b

Counts

3 → 90

Calls

3 calls:

113.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
68.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
59.0ms	(/.f64 (-.f64 z t) (-.f64 z a))

Compiler

Compiled 3761 to 2512 computations (33.2% saved)

simplify163.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

788×	`cancel-sign-sub-inv_binary64`
769×	`times-frac_binary64`
339×	`sub-neg_binary64`
206×	`div-sub_binary64`
146×	`+-commutative_binary64`
143×	`associate-/l*_binary64` `associate--l+_binary64`
127×	`associate-l_binary64`
123×	`associate-r_binary64`
115×	`associate--r+_binary64`
96×	`*-commutative_binary64`
81×	`associate-+l+_binary64`
75×	`associate-*r/_binary64`
74×	`neg-sub0_binary64`
73×	`associate-/r*_binary64`
67×	`neg-mul-1_binary64`
59×	`associate-+r+_binary64`
55×	`distribute-rgt-in_binary64`
51×	`distribute-lft-in_binary64`
50×	`unsub-neg_binary64`
49×	`associate-*l/_binary64`
43×	`*-rgt-identity_binary64`
41×	`associate-/l/_binary64`
35×	`sqr-pow_binary64`
34×	`associate-/r/_binary64`
32×	`*-lft-identity_binary64`
31×	`cube-prod_binary64`
24×	`distribute-neg-in_binary64`
21×	`log-prod_binary64` `exp-prod_binary64`
20×	`unswap-sqr_binary64`
18×	`exp-sum_binary64`
17×	`distribute-rgt-neg-in_binary64`
15×	`/-rgt-identity_binary64`
13×	`log-div_binary64` `cube-div_binary64` `distribute-neg-frac_binary64`
12×	`distribute-lft-neg-in_binary64`
11×	`unpow3_binary64`
8×	`exp-diff_binary64`
7×	`cube-unmult_binary64` `mul-1-neg_binary64`
6×	`cube-mult_binary64`
5×	`difference-of-squares_binary64`
4×	`swap-sqr_binary64` `distribute-lft-neg-out_binary64`
3×	`unpow1/2_binary64` `associate-+r-_binary64`
2×	`unpow2_binary64` `pow-plus_binary64` `unpow1_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `remove-double-neg_binary64` `distribute-rgt-out--_binary64` `associate--r-_binary64` `associate-+l-_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `div0_binary64` `*-inverses_binary64` `pow-sqr_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` `log-pow_binary64` `log-rec_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` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_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-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

203 → 126

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	298	4461
1	813	4305
2	2860	4278
3	4880	4278
4	5200	4278

prune57.0ms (1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	125	1	126
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	125	6	131

Error

0.0b

Counts

131 → 6

Compiler

Compiled 1571 to 393 computations (75% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 1 (/.f64 (-.f64 z a) (*.f64 (-.f64 z t) y))))
0.0b	(*.f64 (-.f64 z t) y)
0.3b	(/.f64 1 (/.f64 (-.f64 z a) (*.f64 (-.f64 z t) y)))
15.8b	(/.f64 (-.f64 z a) (*.f64 (-.f64 z t) y))

rewrite175.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

58×	`times-frac_binary64`
45×	`*-un-lft-identity_binary64`
44×	`add-sqr-sqrt_binary64`
32×	`add-exp-log_binary64`
28×	`add-cube-cbrt_binary64`
20×	`add-cbrt-cube_binary64`
14×	`div-exp_binary64`
12×	`associate-l/_binary64` `associate-/r_binary64`
11×	`associate-/r/_binary64`
8×	`associate-/l*_binary64`
7×	`pow1_binary64` `cbrt-undiv_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `flip3--_binary64` `flip--_binary64`
6×	`add-log-exp_binary64`
5×	`prod-exp_binary64` `associate-l_binary64`
3×	`cbrt-unprod_binary64` `1-exp_binary64` `rec-exp_binary64` `associate-r_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `associate-/l/_binary64` `distribute-lft-out_binary64`
1×	`div-sub_binary64` `inv-pow_binary64` `pow-flip_binary64` `pow-prod-down_binary64` `unswap-sqr_binary64` `*-commutative_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

4 → 137

Calls

4 calls:

15.0ms	(+.f64 x (/.f64 1 (/.f64 (-.f64 z a) (*.f64 (-.f64 z t) y))))
12.0ms	(/.f64 1 (/.f64 (-.f64 z a) (*.f64 (-.f64 z t) y)))
11.0ms	(/.f64 (-.f64 z a) (*.f64 (-.f64 z t) y))
6.0ms	(*.f64 (-.f64 z t) y)

Compiler

Compiled 2799 to 904 computations (67.7% saved)

series325.0ms (5.6%)

Error

0.0b

Counts

4 → 103

Calls

4 calls:

109.0ms	(+.f64 x (/.f64 1 (/.f64 (-.f64 z a) (*.f64 (-.f64 z t) y))))
77.0ms	(/.f64 (-.f64 z a) (*.f64 (-.f64 z t) y))
66.0ms	(/.f64 1 (/.f64 (-.f64 z a) (*.f64 (-.f64 z t) y)))
28.0ms	(*.f64 (-.f64 z t) y)

Compiler

Compiled 4221 to 2871 computations (32% saved)

simplify183.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

706×	`cancel-sign-sub-inv_binary64`
352×	`div-sub_binary64`
306×	`sub-neg_binary64`
161×	`associate-/l*_binary64`
156×	`associate-/r*_binary64`
136×	`+-commutative_binary64`
135×	`times-frac_binary64`
128×	`associate-r_binary64`
116×	`associate--l+_binary64`
115×	`*-commutative_binary64`
109×	`distribute-neg-frac_binary64`
108×	`associate-/r/_binary64`
102×	`associate-l_binary64`
93×	`associate--r+_binary64`
86×	`exp-prod_binary64`
80×	`associate-*l/_binary64`
73×	`distribute-rgt-in_binary64`
70×	`neg-sub0_binary64`
67×	`neg-mul-1_binary64`
66×	`distribute-lft-in_binary64`
61×	`associate-+l+_binary64`
55×	`associate-/l/_binary64` `associate-+r+_binary64`
54×	`associate-*r/_binary64`
46×	`unsub-neg_binary64`
45×	`*-rgt-identity_binary64`
44×	`cube-prod_binary64`
43×	`sqr-pow_binary64`
41×	`exp-sum_binary64`
38×	`log-div_binary64`
36×	`cube-div_binary64`
34×	`unswap-sqr_binary64`
33×	`log-prod_binary64`
26×	`*-lft-identity_binary64`
24×	`distribute-neg-in_binary64`
21×	`exp-diff_binary64` `/-rgt-identity_binary64`
19×	`unpow3_binary64`
17×	`distribute-rgt-neg-in_binary64`
15×	`cube-mult_binary64`
14×	`swap-sqr_binary64`
11×	`log-rec_binary64` `distribute-lft-neg-in_binary64`
8×	`cube-unmult_binary64`
7×	`associate--r-_binary64`
6×	`mul-1-neg_binary64` `difference-of-squares_binary64`
4×	`unpow1/2_binary64` `remove-double-neg_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-out_binary64` `associate-+r-_binary64`
3×	`unpow2_binary64` `pow-plus_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `div0_binary64`
2×	`cube-neg_binary64` `sqr-neg_binary64` `sub0-neg_binary64` `+-lft-identity_binary64` `remove-double-div_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `+-rgt-identity_binary64` `*-inverses_binary64` `pow-sqr_binary64` `associate-+l-_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` `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` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `--rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

240 → 205

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	317	5328
1	855	4816
2	3199	4750
3	4696	4750
4	5293	4750

prune105.0ms (1.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	204	1	205
Fresh	3	0	3
Picked	0	1	1
Done	0	2	2
Total	207	4	211

Error

0.0b

Counts

211 → 4

Compiler

Compiled 2436 to 644 computations (73.6% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 z t) (/.f64 y (-.f64 z a))))
0.0b	(/.f64 y (-.f64 z a))
10.0b	(*.f64 (-.f64 z t) (/.f64 y (-.f64 z a)))

rewrite105.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

44×	`add-sqr-sqrt_binary64`
39×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64`
21×	`associate-r_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`pow1_binary64` `add-log-exp_binary64` `associate-l_binary64` `associate-/r*_binary64`
4×	`flip3--_binary64` `flip--_binary64` `associate-/r/_binary64`
3×	`associate-/l*_binary64`
2×	`div-exp_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `frac-times_binary64` `unswap-sqr_binary64` `associate-*l/_binary64` `div-inv_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

3 → 94

Calls

3 calls:

13.0ms	(*.f64 (-.f64 z t) (/.f64 y (-.f64 z a)))
5.0ms	(/.f64 y (-.f64 z a))
3.0ms	(+.f64 x (*.f64 (-.f64 z t) (/.f64 y (-.f64 z a))))

Compiler

Compiled 1715 to 390 computations (77.3% saved)

series449.0ms (7.8%)

Error

0.0b

Counts

3 → 81

Calls

3 calls:

269.0ms	(*.f64 (-.f64 z t) (/.f64 y (-.f64 z a)))
111.0ms	(+.f64 x (*.f64 (-.f64 z t) (/.f64 y (-.f64 z a))))
38.0ms	(/.f64 y (-.f64 z a))

Compiler

Compiled 3117 to 2091 computations (32.9% saved)

simplify145.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

604×	`cancel-sign-sub-inv_binary64`
539×	`times-frac_binary64`
474×	`distribute-rgt-in_binary64`
218×	`sub-neg_binary64`
201×	`div-sub_binary64`
123×	`associate-/l*_binary64`
111×	`+-commutative_binary64`
107×	`associate-l_binary64`
101×	`associate-r_binary64`
88×	`*-commutative_binary64`
87×	`distribute-rgt-neg-in_binary64`
85×	`associate--l+_binary64`
75×	`distribute-lft-neg-in_binary64`
74×	`associate-*r/_binary64`
69×	`distribute-neg-frac_binary64`
67×	`associate--r+_binary64`
60×	`distribute-lft-in_binary64`
57×	`associate-*l/_binary64`
52×	`neg-sub0_binary64`
51×	`distribute-lft-neg-out_binary64`
48×	`associate-+l+_binary64`
46×	`neg-mul-1_binary64`
40×	`distribute-rgt-neg-out_binary64` `associate-/r*_binary64`
39×	`distribute-rgt-out_binary64` `associate-+r+_binary64`
38×	`sqr-pow_binary64` `distribute-neg-in_binary64`
37×	`cube-prod_binary64`
35×	`exp-prod_binary64` `associate-/r/_binary64`
31×	`*-rgt-identity_binary64` `associate-/l/_binary64`
26×	`exp-sum_binary64` `unsub-neg_binary64`
25×	`log-prod_binary64` `unswap-sqr_binary64`
23×	`*-lft-identity_binary64`
16×	`distribute-rgt-out--_binary64`
15×	`log-div_binary64`
14×	`unpow3_binary64` `cube-div_binary64`
10×	`cube-mult_binary64` `/-rgt-identity_binary64` `distribute-lft-out_binary64`
9×	`exp-diff_binary64` `difference-of-squares_binary64`
8×	`distribute-rgt1-in_binary64`
7×	`cube-unmult_binary64`
6×	`mul-1-neg_binary64`
5×	`swap-sqr_binary64`
4×	`distribute-lft-out--_binary64`
3×	`unpow1/2_binary64` `exp-neg_binary64` `sqr-neg_binary64`
2×	`unpow2_binary64` `pow-plus_binary64` `unpow1_binary64` `cube-neg_binary64` `rem-sqrt-square_binary64` `remove-double-neg_binary64` `pow-sqr_binary64` `distribute-lft1-in_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
1×	`log-rec_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `div0_binary64` `associate--r-_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` `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` `div-exp_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_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` `count-2_binary64` `associate--l-_binary64`

Counts

175 → 116

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	246	3589
1	633	3346
2	2273	3115
3	4626	3103
4	5051	3103

prune47.0ms (0.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	116	4	120

Error

0.0b

Counts

120 → 4

Compiler

Compiled 1223 to 289 computations (76.4% saved)

regimes807.0ms (14%)

Accuracy

Total 0.5b remaining (96.8%)

Threshold costs 0.5b (96.8%)

Compiler

Compiled 8848 to 7178 computations (18.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
4×	`sub-neg_binary64` `*-commutative_binary64`
2×	`neg-mul-1_binary64` `neg-sub0_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` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-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-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	52
1	24	52
2	32	52
3	36	52
4	38	52
5	38	52

end1.0ms (0%)

Compiler: Compiled 33 to 16 computations (51.5% saved)

sample846.0ms (14.7%)

Algorithm

1×

intervals

Results

310.0ms	8000×	body	128	valid
25.0ms	726×	body	128	invalid

Compiler

Compiled 105 to 102 computations (2.9% saved)

Details

analyze962.0ms (16.7%)

sample24.0ms (0.4%)

simplify390.0ms (6.8%)

prune6.0ms (0.1%)

localize8.0ms (0.1%)

rewrite89.0ms (1.6%)

series237.0ms (4.1%)

simplify124.0ms (2.1%)

prune58.0ms (1%)

localize9.0ms (0.2%)

rewrite140.0ms (2.4%)

series286.0ms (5%)

simplify163.0ms (2.8%)

prune57.0ms (1%)

localize9.0ms (0.2%)

rewrite175.0ms (3%)

series325.0ms (5.6%)

simplify183.0ms (3.2%)

prune105.0ms (1.8%)

localize8.0ms (0.1%)

rewrite105.0ms (1.8%)

series449.0ms (7.8%)

simplify145.0ms (2.5%)

prune47.0ms (0.8%)

regimes807.0ms (14%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample846.0ms (14.7%)

Profiling