Details

analyze851.0ms (11%)

Algorithm

1×	search
2×	egg-herbie

Rules

1160×	`sub-neg_binary64`
823×	`div-sub_binary64`
449×	`neg-mul-1_binary64`
443×	`cancel-sign-sub-inv_binary64`
398×	`neg-sub0_binary64`
364×	`distribute-neg-frac_binary64`
350×	`*-commutative_binary64`
333×	`associate-/l*_binary64`
325×	`distribute-rgt-in_binary64`
318×	`distribute-frac-neg_binary64`
307×	`unsub-neg_binary64`
288×	`times-frac_binary64`
286×	`distribute-rgt-neg-out_binary64`
231×	`distribute-lft-in_binary64`
227×	`distribute-rgt-neg-in_binary64`
225×	`associate-/r*_binary64`
187×	`distribute-lft-neg-out_binary64` `associate-+l-_binary64`
178×	`associate-*l/_binary64`
174×	`distribute-neg-in_binary64`
143×	`+-lft-identity_binary64`
129×	`remove-double-neg_binary64`
113×	`associate--r+_binary64`
107×	`distribute-lft-neg-in_binary64`
96×	`associate-/r/_binary64`
90×	`+-commutative_binary64`
87×	`associate-r_binary64`
79×	`associate-/l/_binary64`
77×	`div0_binary64`
76×	`-lft-identity_binary64` `associate-r/_binary64`
70×	`associate-+r-_binary64`
69×	`associate-l_binary64` `associate--r-_binary64`
66×	`mul0-rgt_binary64` `mul0-lft_binary64`
62×	`cancel-sign-sub_binary64`
57×	`sub0-neg_binary64`
55×	`associate--l-_binary64`
41×	`*-rgt-identity_binary64`
40×	`+-rgt-identity_binary64` `distribute-neg-out_binary64`
38×	`associate--l+_binary64`
31×	`associate-+l+_binary64`
26×	`associate-+r+_binary64`
24×	`--rgt-identity_binary64`
17×	`/-rgt-identity_binary64`
14×	`distribute-rgt-out--_binary64` `distribute-lft-out_binary64`
10×	`distribute-lft-out--_binary64`
7×	`distribute-rgt-out_binary64`
5×	`remove-double-div_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` `mul-1-neg_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` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	112
1	66	112
2	146	112
3	314	112
4	520	112
5	992	112
6	1882	112
7	3797	112
8	3605	112
9	3748	112
10	3883	112
11	3981	112
12	3981	112
13	4500	112
14	4680	112
15	4881	112
0	4	4
1	4	4

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
7.8%	92%	0.2%	8
16.4%	83.4%	0.2%	9
23.8%	76%	0.2%	10
25.1%	74.7%	0.2%	11
38.1%	59.4%	2.5%	12
41.8%	55.3%	2.9%	13
46.5%	50.3%	3.1%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample24.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
2.0ms	54×	body	128	invalid

Compiler

Compiled 23 to 25 computations (-8.7% saved)

simplify271.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1174×	`div-sub_binary64`
414×	`associate-/l*_binary64`
410×	`distribute-rgt-in_binary64`
404×	`sub-neg_binary64`
371×	`associate-/r/_binary64`
370×	`associate-/l/_binary64`
344×	`distribute-lft-in_binary64`
327×	`unsub-neg_binary64`
284×	`associate-/r*_binary64`
249×	`cancel-sign-sub-inv_binary64`
221×	`distribute-neg-frac_binary64`
168×	`*-commutative_binary64`
149×	`distribute-rgt-neg-out_binary64`
135×	`distribute-lft-neg-out_binary64`
133×	`distribute-rgt-neg-in_binary64`
126×	`neg-mul-1_binary64`
124×	`associate-*l/_binary64`
109×	`distribute-lft-neg-in_binary64`
103×	`neg-sub0_binary64`
70×	`associate-r_binary64`
65×	`associate-l_binary64`
62×	`times-frac_binary64` `distribute-frac-neg_binary64` `associate--r+_binary64`
61×	`mul0-rgt_binary64`
57×	`mul0-lft_binary64` `div0_binary64` `associate-*r/_binary64`
56×	`distribute-neg-in_binary64`
51×	`associate-+l-_binary64`
45×	`associate--r-_binary64`
43×	`remove-double-neg_binary64`
39×	`associate--l-_binary64` `+-commutative_binary64`
30×	`*-rgt-identity_binary64` `associate-+r-_binary64`
28×	`*-lft-identity_binary64`
27×	`associate--l+_binary64`
22×	`/-rgt-identity_binary64`
20×	`remove-double-div_binary64`
16×	`sub0-neg_binary64`
13×	`associate-+l+_binary64` `associate-+r+_binary64`
12×	`cancel-sign-sub_binary64`
9×	`--rgt-identity_binary64`
7×	`distribute-neg-out_binary64`
5×	`+-lft-identity_binary64`
4×	`mul-1-neg_binary64`
3×	`distribute-rgt-out--_binary64` `distribute-lft-out_binary64`
2×	`+-rgt-identity_binary64`
1×	`1-exp_binary64` `distribute-rgt-out_binary64` `distribute-lft-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` `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` `+-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	18	16
2	33	16
3	61	16
4	103	16
5	179	16
6	357	16
7	714	16
8	1261	16
9	1454	16
10	1447	16
11	1374	16
12	1377	16
13	1410	16
14	1499	16
15	1921	16
16	1599	16
17	1627	16
18	1645	16
19	1661	16
20	1653	16
21	1653	16
22	1653	16
23	1711	16
24	1669	16
25	1663	16
26	1665	16
27	1667	16
28	1669	16
29	1669	16
30	1484	16

prune2.0ms (0%)

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

4.5b

Counts

1 → 1

Compiler

Compiled 11 to 10 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 t (-.f64 1 z))
4.3b	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

rewrite197.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

1.1b

Rules

79×	`add-sqr-sqrt_binary64`
76×	`*-un-lft-identity_binary64`
62×	`times-frac_binary64`
48×	`cancel-sign-sub-inv_binary64`
35×	`add-cube-cbrt_binary64`
25×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
24×	`difference-of-squares_binary64`
14×	`distribute-lft-out--_binary64`
10×	`associate-r_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/r/_binary64` `associate-/r*_binary64`
4×	`pow1_binary64` `flip3--_binary64` `flip--_binary64`
3×	`div-inv_binary64` `associate-r/_binary64` `associate-l_binary64` `associate-/l_binary64`
2×	`add-log-exp_binary64` `sub-neg_binary64`
1×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `frac-sub_binary64` `*-commutative_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64`

Counts

2 → 119

Calls

2 calls:

28.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
10.0ms	(/.f64 t (-.f64 1 z))

Compiler

Compiled 2298 to 1184 computations (48.5% saved)

series110.0ms (1.4%)

Error

0.1b

Counts

2 → 41

Calls

2 calls:

70.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
22.0ms	(/.f64 t (-.f64 1 z))

Compiler

Compiled 1061 to 742 computations (30.1% saved)

simplify141.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

392×	`distribute-rgt-in_binary64`
375×	`times-frac_binary64`
237×	`distribute-lft-neg-out_binary64`
231×	`distribute-rgt-neg-out_binary64`
219×	`associate-l_binary64`
203×	`associate-r_binary64`
189×	`*-commutative_binary64`
173×	`div-sub_binary64`
167×	`neg-sub0_binary64`
138×	`neg-mul-1_binary64`
135×	`distribute-rgt-neg-in_binary64`
128×	`associate-*l/_binary64`
114×	`exp-prod_binary64`
111×	`distribute-neg-frac_binary64`
110×	`associate-*r/_binary64`
101×	`cancel-sign-sub-inv_binary64`
92×	`sub-neg_binary64`
88×	`distribute-lft-neg-in_binary64`
71×	`associate-/l*_binary64`
66×	`*-rgt-identity_binary64`
60×	`*-lft-identity_binary64` `+-commutative_binary64`
57×	`distribute-neg-in_binary64` `distribute-rgt-out_binary64`
48×	`distribute-lft-in_binary64`
47×	`associate-/r*_binary64`
40×	`distribute-frac-neg_binary64`
37×	`unsub-neg_binary64`
36×	`cube-prod_binary64`
34×	`associate-/l/_binary64`
31×	`log-prod_binary64`
30×	`associate-+r+_binary64`
29×	`exp-neg_binary64`
28×	`sqr-pow_binary64`
24×	`associate-+l+_binary64`
18×	`exp-sum_binary64` `associate-/r/_binary64`
16×	`exp-diff_binary64` `/-rgt-identity_binary64`
14×	`distribute-lft-out_binary64`
13×	`cube-div_binary64`
12×	`associate--r+_binary64`
10×	`distribute-rgt1-in_binary64`
9×	`unpow3_binary64` `swap-sqr_binary64`
8×	`cube-unmult_binary64` `distribute-neg-out_binary64`
7×	`log-div_binary64` `div0_binary64` `unswap-sqr_binary64`
6×	`distribute-rgt-out--_binary64`
5×	`mul-1-neg_binary64`
4×	`cube-mult_binary64` `sqr-neg_binary64`
3×	`rem-sqrt-square_binary64` `difference-of-squares_binary64`
2×	`unpow1/2_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64`
1×	`log-pow_binary64` `unpow2_binary64` `pow-plus_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64` `pow-sqr_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate--r-_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-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` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_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` `cancel-sign-sub_binary64` `count-2_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate-+l-_binary64`

Counts

160 → 115

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	251	3455
1	700	3375
2	2518	2955
3	4500	2943
4	4972	2943

prune55.0ms (0.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	106	9	115
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	107	9	116

Error

1.8b

Counts

116 → 9

Compiler

Compiled 882 to 436 computations (50.6% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (-.f64 1 z))
0.5b	(pow.f64 (cbrt.f64 (-.f64 1 z)) 3)
3.1b	(*.f64 x (neg.f64 (/.f64 t (pow.f64 (cbrt.f64 (-.f64 1 z)) 3))))
5.4b	(*.f64 x (/.f64 y z))

rewrite428.0ms (5.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

173×	`associate-r_binary64`
154×	`times-frac_binary64`
152×	`add-sqr-sqrt_binary64`
145×	`*-un-lft-identity_binary64`
100×	`add-cube-cbrt_binary64`
90×	`cbrt-prod_binary64`
78×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
63×	`unpow-prod-down_binary64` `cube-prod_binary64`
30×	`difference-of-squares_binary64`
15×	`distribute-lft-out--_binary64`
12×	`add-exp-log_binary64`
11×	`add-cbrt-cube_binary64`
9×	`pow1_binary64`
8×	`cbrt-div_binary64`
7×	`unpow3_binary64` `cube-mult_binary64` `sqr-pow_binary64`
6×	`associate-l_binary64` `cube-div_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
3×	`prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `div-inv_binary64` `pow-unpow_binary64`
2×	`pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64` `pow1/3_binary64` `pow-pow_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `distribute-rgt-neg-out_binary64` `distribute-neg-frac_binary64` `neg-mul-1_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `rem-cube-cbrt_binary64`

Counts

4 → 263

Calls

4 calls:

46.0ms	(*.f64 x (neg.f64 (/.f64 t (pow.f64 (cbrt.f64 (-.f64 1 z)) 3))))
7.0ms	(*.f64 x (/.f64 y z))
6.0ms	(pow.f64 (cbrt.f64 (-.f64 1 z)) 3)
3.0ms	(cbrt.f64 (-.f64 1 z))

Compiler

Compiled 5100 to 3037 computations (40.5% saved)

series137.0ms (1.8%)

Error

1.8b

Counts

4 → 37

Calls

4 calls:

39.0ms	(*.f64 x (neg.f64 (/.f64 t (pow.f64 (cbrt.f64 (-.f64 1 z)) 3))))
31.0ms	(pow.f64 (cbrt.f64 (-.f64 1 z)) 3)
30.0ms	(*.f64 x (/.f64 y z))
13.0ms	(cbrt.f64 (-.f64 1 z))

Compiler

Compiled 1467 to 1101 computations (24.9% saved)

simplify175.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

305×	`log-prod_binary64`
294×	`times-frac_binary64`
273×	`associate-/r*_binary64`
265×	`associate-l_binary64`
241×	`unswap-sqr_binary64`
239×	`associate-r_binary64`
225×	`cancel-sign-sub-inv_binary64`
185×	`*-commutative_binary64`
160×	`associate-/l*_binary64`
120×	`associate-*l/_binary64`
119×	`associate-*r/_binary64`
118×	`log-div_binary64`
116×	`neg-sub0_binary64`
115×	`div-sub_binary64`
108×	`neg-mul-1_binary64`
107×	`exp-prod_binary64`
106×	`sub-neg_binary64`
96×	`sqr-pow_binary64`
80×	`*-rgt-identity_binary64`
79×	`*-lft-identity_binary64`
72×	`distribute-neg-frac_binary64`
67×	`associate-/l/_binary64`
61×	`swap-sqr_binary64`
60×	`cube-prod_binary64` `distribute-rgt-neg-out_binary64`
48×	`distribute-lft-neg-in_binary64`
46×	`distribute-rgt-neg-in_binary64`
33×	`+-commutative_binary64`
29×	`/-rgt-identity_binary64`
24×	`log-pow_binary64`
23×	`cube-div_binary64`
19×	`associate-/r/_binary64`
16×	`unpow3_binary64` `pow-sqr_binary64`
15×	`cube-mult_binary64`
14×	`distribute-lft-neg-out_binary64`
13×	`cube-unmult_binary64`
11×	`associate-+l+_binary64` `associate-+r+_binary64`
10×	`rem-cube-cbrt_binary64` `rem-sqrt-square_binary64`
9×	`log-rec_binary64` `unsub-neg_binary64` `div0_binary64` `distribute-neg-in_binary64`
8×	`pow-plus_binary64` `exp-sum_binary64` `distribute-rgt-in_binary64`
5×	`exp-diff_binary64` `mul-1-neg_binary64` `distribute-rgt-out_binary64` `distribute-lft-out_binary64` `associate--r+_binary64`
4×	`distribute-lft-in_binary64`
3×	`unpow1/3_binary64` `prod-exp_binary64` `remove-double-neg_binary64` `distribute-rgt1-in_binary64`
2×	`unpow1/2_binary64` `unpow1_binary64` `rem-cbrt-cube_binary64` `sqr-neg_binary64` `associate-+r-_binary64`
1×	`unpow2_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `distribute-lft1-in_binary64` `associate--r-_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` `pow-base-0_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` `sqr-abs_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` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--l-_binary64` `associate--l+_binary64`

Counts

300 → 253

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	369	4119
1	822	3788
2	3404	3738
3	4884	3738
4	5185	3738

prune210.0ms (2.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	244	9	253
Fresh	4	4	8
Picked	1	0	1
Done	0	0	0
Total	249	13	262

Error

0.0b

Counts

262 → 13

Compiler

Compiled 3435 to 1873 computations (45.5% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (-.f64 1 z))
0.3b	(*.f64 (cbrt.f64 (-.f64 1 z)) (cbrt.f64 (-.f64 1 z)))
2.4b	(.f64 (/.f64 x (cbrt.f64 (-.f64 1 z))) (neg.f64 (/.f64 t (.f64 (cbrt.f64 (-.f64 1 z)) (cbrt.f64 (-.f64 1 z))))))
5.4b	(*.f64 x (/.f64 y z))

rewrite395.0ms (5.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

87×	`add-sqr-sqrt_binary64`
72×	`*-un-lft-identity_binary64`
57×	`cbrt-prod_binary64`
56×	`associate-r_binary64`
45×	`times-frac_binary64` `associate-l_binary64`
42×	`add-cube-cbrt_binary64`
40×	`cbrt-div_binary64`
20×	`flip3--_binary64` `flip--_binary64`
18×	`associate-/r/_binary64`
16×	`add-exp-log_binary64` `difference-of-squares_binary64`
15×	`pow1_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
13×	`add-cbrt-cube_binary64` `frac-times_binary64`
11×	`swap-sqr_binary64`
10×	`distribute-lft-out--_binary64`
9×	`unswap-sqr_binary64`
8×	`associate-*r/_binary64`
7×	`associate-*l/_binary64` `pow1/3_binary64`
5×	`prod-exp_binary64` `cbrt-unprod_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `div-inv_binary64`
3×	`*-commutative_binary64`
2×	`div-exp_binary64` `cbrt-undiv_binary64` `distribute-neg-frac_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`distribute-rgt-neg-out_binary64` `neg-mul-1_binary64` `pow2_binary64` `pow-plus_binary64`

Counts

4 → 194

Calls

4 calls:

36.0ms	(.f64 (/.f64 x (cbrt.f64 (-.f64 1 z))) (neg.f64 (/.f64 t (.f64 (cbrt.f64 (-.f64 1 z)) (cbrt.f64 (-.f64 1 z))))))
14.0ms	(*.f64 (cbrt.f64 (-.f64 1 z)) (cbrt.f64 (-.f64 1 z)))
7.0ms	(*.f64 x (/.f64 y z))
3.0ms	(cbrt.f64 (-.f64 1 z))

Compiler

Compiled 6246 to 3970 computations (36.4% saved)

series140.0ms (1.8%)

Error

0.0b

Counts

4 → 41

Calls

4 calls:

39.0ms	(.f64 (/.f64 x (cbrt.f64 (-.f64 1 z))) (neg.f64 (/.f64 t (.f64 (cbrt.f64 (-.f64 1 z)) (cbrt.f64 (-.f64 1 z))))))
32.0ms	(*.f64 x (/.f64 y z))
22.0ms	(*.f64 (cbrt.f64 (-.f64 1 z)) (cbrt.f64 (-.f64 1 z)))
14.0ms	(cbrt.f64 (-.f64 1 z))

Compiler

Compiled 2084 to 1583 computations (24% saved)

simplify220.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

306×	`associate-l_binary64`
254×	`associate-r_binary64`
240×	`times-frac_binary64`
231×	`associate-*r/_binary64`
222×	`associate-/r*_binary64`
220×	`distribute-neg-frac_binary64`
209×	`*-commutative_binary64`
205×	`log-prod_binary64`
192×	`log-div_binary64`
164×	`associate-*l/_binary64`
161×	`associate-/l*_binary64`
148×	`cancel-sign-sub-inv_binary64`
144×	`neg-sub0_binary64`
141×	`exp-prod_binary64`
136×	`neg-mul-1_binary64`
120×	`div-sub_binary64`
108×	`sub-neg_binary64`
77×	`/-rgt-identity_binary64`
71×	`distribute-rgt-neg-out_binary64`
59×	`*-lft-identity_binary64`
58×	`distribute-frac-neg_binary64`
55×	`*-rgt-identity_binary64` `distribute-lft-neg-in_binary64`
54×	`sqr-pow_binary64`
51×	`cube-prod_binary64`
42×	`swap-sqr_binary64`
41×	`+-commutative_binary64`
37×	`unpow3_binary64`
35×	`distribute-rgt-neg-in_binary64`
34×	`cube-mult_binary64`
33×	`distribute-lft-neg-out_binary64`
31×	`cube-div_binary64`
24×	`exp-diff_binary64` `unswap-sqr_binary64`
22×	`exp-sum_binary64`
20×	`associate-/l/_binary64`
18×	`log-pow_binary64`
14×	`cube-unmult_binary64`
13×	`unsub-neg_binary64` `distribute-neg-in_binary64`
12×	`log-rec_binary64` `associate-/r/_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
10×	`pow-plus_binary64`
9×	`associate--r+_binary64`
8×	`distribute-rgt-in_binary64`
7×	`pow-sqr_binary64`
6×	`unpow1/3_binary64` `div0_binary64`
5×	`rem-sqrt-square_binary64` `distribute-rgt-out_binary64` `distribute-lft-out_binary64`
4×	`unpow1/2_binary64` `exp-neg_binary64` `mul-1-neg_binary64` `distribute-lft-in_binary64`
3×	`rem-exp-log_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `distribute-rgt1-in_binary64` `associate-+r-_binary64`
2×	`unpow2_binary64` `exp-to-pow_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `associate-+l-_binary64`
1×	`unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `rem-square-sqrt_binary64` `distribute-lft1-in_binary64` `count-2_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` `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` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_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` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64` `associate--l+_binary64`

Counts

235 → 183

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	336	5145
1	856	4604
2	3490	4354
3	4473	4178
4	4975	4178
5	4959	4178

prune238.0ms (3.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	183	0	183
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	183	13	196

Error

0.0b

Counts

196 → 13

Compiler

Compiled 4420 to 2697 computations (39% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

5.4b	(*.f64 x (/.f64 y z))
10.1b	(cbrt.f64 (/.f64 t (-.f64 1 z)))
10.1b	(cbrt.f64 (/.f64 t (-.f64 1 z)))
10.1b	(cbrt.f64 (/.f64 t (pow.f64 (cbrt.f64 (-.f64 1 z)) 3)))

rewrite545.0ms (7.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

162×	`cbrt-prod_binary64`
118×	`times-frac_binary64`
113×	`add-sqr-sqrt_binary64`
108×	`*-un-lft-identity_binary64`
72×	`add-cube-cbrt_binary64`
27×	`unpow-prod-down_binary64` `cube-prod_binary64`
24×	`difference-of-squares_binary64`
13×	`associate-r_binary64`
12×	`distribute-lft-out--_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`pow1_binary64` `associate-/r/_binary64`
5×	`cbrt-div_binary64`
4×	`add-log-exp_binary64` `div-inv_binary64`
3×	`pow1/3_binary64` `unpow3_binary64` `cube-mult_binary64` `sqr-pow_binary64` `flip3--_binary64` `flip--_binary64` `associate-l_binary64`
2×	`cube-div_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64`
1×	`pow-prod-down_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `-commutative_binary64`

Counts

4 → 185

Calls

4 calls:

13.0ms	(cbrt.f64 (/.f64 t (pow.f64 (cbrt.f64 (-.f64 1 z)) 3)))
7.0ms	(*.f64 x (/.f64 y z))
6.0ms	(cbrt.f64 (/.f64 t (-.f64 1 z)))
5.0ms	(cbrt.f64 (/.f64 t (-.f64 1 z)))

Compiler

Compiled 6242 to 3984 computations (36.2% saved)

series210.0ms (2.7%)

Error

0.0b

Counts

4 → 33

Calls

4 calls:

46.0ms	(cbrt.f64 (/.f64 t (-.f64 1 z)))
46.0ms	(cbrt.f64 (/.f64 t (pow.f64 (cbrt.f64 (-.f64 1 z)) 3)))
45.0ms	(cbrt.f64 (/.f64 t (-.f64 1 z)))
36.0ms	(*.f64 x (/.f64 y z))

Compiler

Compiled 3317 to 2603 computations (21.5% saved)

simplify214.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

769×	`times-frac_binary64`
656×	`associate-/r*_binary64`
546×	`associate-/l*_binary64`
359×	`associate-/l/_binary64`
179×	`log-div_binary64`
139×	`log-prod_binary64`
108×	`associate-/r/_binary64`
91×	`associate-l_binary64`
76×	`associate-r_binary64`
67×	`sqr-pow_binary64`
61×	`*-commutative_binary64`
47×	`unswap-sqr_binary64` `associate-*r/_binary64`
39×	`sub-neg_binary64`
38×	`log-rec_binary64`
33×	`exp-prod_binary64`
31×	`associate-*l/_binary64`
30×	`distribute-rgt-in_binary64`
29×	`distribute-lft-in_binary64`
27×	`exp-sum_binary64` `*-rgt-identity_binary64`
23×	`log-pow_binary64` `unpow3_binary64`
20×	`/-rgt-identity_binary64` `*-lft-identity_binary64` `+-commutative_binary64`
19×	`cancel-sign-sub-inv_binary64`
17×	`neg-sub0_binary64`
16×	`neg-mul-1_binary64`
15×	`cube-prod_binary64`
14×	`cube-mult_binary64` `div-sub_binary64` `unsub-neg_binary64` `distribute-rgt-neg-in_binary64`
13×	`unpow1/3_binary64`
12×	`exp-diff_binary64`
11×	`rem-cube-cbrt_binary64` `distribute-lft-neg-in_binary64`
8×	`cube-unmult_binary64` `cube-div_binary64` `swap-sqr_binary64`
7×	`pow-sqr_binary64` `distribute-neg-in_binary64` `distribute-lft-neg-out_binary64`
6×	`pow-plus_binary64` `exp-neg_binary64` `rem-sqrt-square_binary64` `distribute-rgt-neg-out_binary64` `associate-+l-_binary64`
5×	`exp-to-pow_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `associate-+r-_binary64`
4×	`rem-cbrt-cube_binary64` `associate-+l+_binary64`
3×	`distribute-lft-out_binary64` `associate-+r+_binary64`
2×	`rem-3cbrt-lft_binary64` `distribute-frac-neg_binary64` `distribute-rgt-out_binary64` `associate--r-_binary64` `associate--l-_binary64`
1×	`unpow1/2_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `remove-double-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` `pow-base-0_binary64` `unpow2_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` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `sub0-neg_binary64` `--rgt-identity_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` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--l+_binary64` `associate--r+_binary64`

Counts

218 → 157

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	340	4356
1	507	4050
2	1566	3999
3	4725	3981
4	4957	3981
5	5017	3981

prune141.0ms (1.8%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	157	13	170

Error

0.0b

Counts

170 → 13

Compiler

Compiled 3284 to 2073 computations (36.9% saved)

regimes1.9s (24%)

Accuracy

Total 2.1b remaining (98.5%)

Threshold costs 0b (0%)

Compiler

Compiled 26754 to 21881 computations (18.2% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
7×	`+-commutative_binary64`
6×	`sub-neg_binary64`
5×	`neg-mul-1_binary64` `neg-sub0_binary64`
1×	`1-exp_binary64` `unsub-neg_binary64` `distribute-neg-frac_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_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-inv_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	50
1	37	48
2	50	48
3	60	48
4	65	48
5	66	48
6	65	48

end1.0ms (0%)

Compiler: Compiled 30 to 20 computations (33.3% saved)

sample1.1s (14.3%)

Algorithm

1×

intervals

Results

321.0ms	8000×	body	128	valid
66.0ms	1825×	body	128	invalid

Compiler

Compiled 405 to 315 computations (22.2% saved)

Details

analyze851.0ms (11%)

sample24.0ms (0.3%)

simplify271.0ms (3.5%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite197.0ms (2.6%)

series110.0ms (1.4%)

simplify141.0ms (1.8%)

prune55.0ms (0.7%)

localize13.0ms (0.2%)

rewrite428.0ms (5.5%)

series137.0ms (1.8%)

simplify175.0ms (2.3%)

prune210.0ms (2.7%)

localize14.0ms (0.2%)

rewrite395.0ms (5.1%)

series140.0ms (1.8%)

simplify220.0ms (2.9%)

prune238.0ms (3.1%)

localize20.0ms (0.3%)

rewrite545.0ms (7.1%)

series210.0ms (2.7%)

simplify214.0ms (2.8%)

prune141.0ms (1.8%)

regimes1.9s (24%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end1.0ms (0%)

sample1.1s (14.3%)

Profiling