Details

analyze797.0ms (12.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

790×	`div-sub_binary64`
660×	`associate-/r*_binary64`
621×	`neg-mul-1_binary64`
596×	`sub-neg_binary64`
440×	`cancel-sign-sub-inv_binary64`
390×	`distribute-rgt-in_binary64`
378×	`distribute-frac-neg_binary64`
323×	`distribute-neg-frac_binary64`
289×	`distribute-lft-in_binary64`
272×	`unsub-neg_binary64`
270×	`associate-/l*_binary64`
262×	`neg-sub0_binary64`
201×	`associate-/r/_binary64`
161×	`distribute-rgt-neg-in_binary64`
127×	`distribute-lft-neg-in_binary64`
119×	`distribute-lft-neg-out_binary64`
116×	`distribute-rgt-neg-out_binary64`
109×	`*-commutative_binary64`
96×	`remove-double-neg_binary64`
94×	`div0_binary64`
88×	`associate--r+_binary64`
74×	`times-frac_binary64` `associate-/l/_binary64`
69×	`mul0-rgt_binary64` `mul0-lft_binary64` `associate-r_binary64`
68×	`distribute-rgt-out--_binary64` `associate-*r/_binary64`
65×	`/-rgt-identity_binary64`
61×	`distribute-neg-in_binary64`
52×	`associate-*l/_binary64`
51×	`+-commutative_binary64`
38×	`+-lft-identity_binary64`
37×	`associate-+l-_binary64`
36×	`distribute-rgt-out_binary64`
33×	`sub0-neg_binary64`
24×	`associate-l_binary64`
20×	`associate-+r-_binary64`
17×	`*-lft-identity_binary64` `associate-+r+_binary64`
15×	`associate--l+_binary64`
14×	`+-rgt-identity_binary64`
13×	`distribute-lft-out--_binary64` `associate--r-_binary64`
11×	`associate-+l+_binary64`
9×	`distribute-neg-out_binary64`
2×	`cancel-sign-sub_binary64` `associate--l-_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` `-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` `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	33	91
1	97	91
2	244	91
3	507	91
4	857	91
5	1867	91
6	2548	91
7	4254	91
8	4265	91
9	4862	91
10	4872	91
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
12.5%	87.3%	0.2%	8
18.7%	81.1%	0.2%	9
22.6%	77.2%	0.2%	10
25%	74.9%	0.2%	11
39.4%	60.4%	0.2%	12
46.5%	53.2%	0.3%	13
48%	51.4%	0.6%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample22.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	22×	body	128	invalid

Compiler

Compiled 23 to 25 computations (-8.7% saved)

simplify81.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

271×	`associate-/l*_binary64`
259×	`div-sub_binary64`
255×	`cancel-sign-sub-inv_binary64`
243×	`distribute-rgt-in_binary64`
173×	`associate-/r*_binary64`
163×	`distribute-lft-in_binary64`
150×	`times-frac_binary64`
126×	`associate-/r/_binary64`
113×	`sub-neg_binary64`
99×	`unsub-neg_binary64`
98×	`distribute-rgt-neg-in_binary64`
89×	`associate-/l/_binary64`
87×	`associate-r_binary64`
73×	`distribute-lft-neg-out_binary64`
71×	`associate-l_binary64`
66×	`distribute-lft-neg-in_binary64`
63×	`*-commutative_binary64`
58×	`distribute-rgt-neg-out_binary64`
46×	`neg-mul-1_binary64`
42×	`associate-*l/_binary64`
41×	`distribute-neg-in_binary64`
37×	`distribute-neg-frac_binary64`
33×	`neg-sub0_binary64`
32×	`mul0-rgt_binary64` `mul0-lft_binary64`
30×	`associate-*r/_binary64`
25×	`distribute-rgt-out--_binary64`
23×	`*-lft-identity_binary64` `associate--r+_binary64`
20×	`distribute-rgt-out_binary64`
19×	`*-rgt-identity_binary64` `distribute-frac-neg_binary64` `+-commutative_binary64`
18×	`div0_binary64`
16×	`+-lft-identity_binary64`
15×	`/-rgt-identity_binary64` `associate-+l-_binary64`
12×	`remove-double-neg_binary64` `sub0-neg_binary64`
11×	`associate--r-_binary64`
8×	`associate-+r-_binary64` `associate-+l+_binary64`
6×	`associate-+r+_binary64`
5×	`+-rgt-identity_binary64`
4×	`associate--l-_binary64` `associate--l+_binary64`
3×	`--rgt-identity_binary64`
2×	`mul-1-neg_binary64`
1×	`1-exp_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` `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-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	23	13
2	51	13
3	102	13
4	171	13
5	306	13
6	456	13
7	707	13
8	1344	13
9	1323	13
10	1307	13
11	1328	13
12	1318	13
13	1319	13
14	1323	13
15	1196	13

prune4.0ms (0.1%)

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

6.0b

Counts

2 → 2

Compiler

Compiled 29 to 28 computations (3.4% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 2 (-.f64 y t))
0.2b	(/.f64 (/.f64 2 (-.f64 y t)) z)
6.1b	(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))

rewrite287.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

249×	`times-frac_binary64`
180×	`add-sqr-sqrt_binary64`
171×	`*-un-lft-identity_binary64`
121×	`add-cube-cbrt_binary64`
67×	`associate-r_binary64`
25×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
24×	`associate-/l*_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`associate-/r/_binary64`
10×	`div-inv_binary64`
8×	`flip3--_binary64` `flip--_binary64` `associate-/r*_binary64`
7×	`div-exp_binary64` `cbrt-undiv_binary64`
5×	`pow1_binary64`
3×	`prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `associate-l_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64` `associate-/l/_binary64`

Counts

3 → 228

Calls

3 calls:

31.0ms	(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))
10.0ms	(/.f64 (/.f64 2 (-.f64 y t)) z)
5.0ms	(/.f64 2 (-.f64 y t))

Compiler

Compiled 4151 to 1912 computations (53.9% saved)

series132.0ms (2%)

Error

6.0b

Counts

3 → 45

Calls

3 calls:

58.0ms	(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))
37.0ms	(/.f64 (/.f64 2 (-.f64 y t)) z)
22.0ms	(/.f64 2 (-.f64 y t))

Compiler

Compiled 1374 to 1187 computations (13.6% saved)

simplify241.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

407×	`associate-/r/_binary64`
194×	`associate-/l/_binary64`
188×	`associate-/l*_binary64`
182×	`associate-l_binary64`
176×	`associate-*r/_binary64`
170×	`associate-/r*_binary64`
169×	`*-commutative_binary64`
160×	`cancel-sign-sub-inv_binary64` `associate-r_binary64`
148×	`sub-neg_binary64`
144×	`div-sub_binary64` `associate-*l/_binary64`
115×	`distribute-rgt-in_binary64`
114×	`times-frac_binary64`
112×	`neg-mul-1_binary64` `neg-sub0_binary64`
110×	`distribute-lft-in_binary64`
91×	`*-rgt-identity_binary64`
84×	`*-lft-identity_binary64`
70×	`cube-prod_binary64`
67×	`unsub-neg_binary64`
64×	`sqr-pow_binary64`
60×	`unswap-sqr_binary64`
59×	`distribute-rgt-neg-in_binary64`
58×	`log-prod_binary64`
52×	`distribute-lft-neg-in_binary64`
50×	`distribute-neg-frac_binary64`
46×	`log-div_binary64`
45×	`cube-div_binary64`
43×	`+-commutative_binary64`
36×	`/-rgt-identity_binary64`
33×	`exp-prod_binary64`
32×	`swap-sqr_binary64`
30×	`unpow3_binary64`
26×	`associate-+l-_binary64`
25×	`cube-mult_binary64`
24×	`distribute-lft-neg-out_binary64` `associate-+r-_binary64`
21×	`distribute-rgt-neg-out_binary64`
20×	`associate-+r+_binary64`
18×	`associate-+l+_binary64`
17×	`distribute-neg-in_binary64`
16×	`+-rgt-identity_binary64`
13×	`sub0-neg_binary64`
11×	`distribute-rgt-out_binary64` `associate--r+_binary64`
10×	`cube-unmult_binary64` `difference-of-squares_binary64` `distribute-lft-out_binary64`
9×	`associate--l+_binary64`
8×	`distribute-rgt-out--_binary64`
7×	`+-lft-identity_binary64`
6×	`log-rec_binary64` `pow-sqr_binary64`
5×	`cube-neg_binary64` `sqr-neg_binary64` `associate--l-_binary64`
4×	`unpow1/2_binary64` `rem-sqrt-square_binary64` `remove-double-div_binary64`
3×	`associate--r-_binary64`
2×	`unpow2_binary64` `pow-plus_binary64` `unpow1_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64`
1×	`exp-lft-sqr_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `distribute-neg-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` `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-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_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` `mul-1-neg_binary64` `*-inverses_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-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64`

Counts

273 → 166

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	349	5245
1	864	4999
2	2822	4979
3	4002	4979
4	4860	4979
5	4989	4979

prune130.0ms (2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	154	12	166
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	155	13	168

Error

0.0b

Counts

168 → 13

Compiler

Compiled 2330 to 1073 computations (53.9% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 y t))
0.5b	(*.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))
0.6b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0b	(/.f64 x (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))))

rewrite202.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

49×	`add-sqr-sqrt_binary64` `cbrt-prod_binary64`
39×	`*-un-lft-identity_binary64`
26×	`add-exp-log_binary64` `cbrt-div_binary64`
23×	`add-cube-cbrt_binary64`
18×	`pow1_binary64`
16×	`swap-sqr_binary64`
14×	`add-cbrt-cube_binary64` `associate-l_binary64` `associate-r_binary64`
13×	`flip3--_binary64` `flip--_binary64` `pow1/3_binary64`
12×	`associate-*r/_binary64`
10×	`prod-exp_binary64` `cbrt-unprod_binary64`
8×	`frac-times_binary64` `associate-/r/_binary64` `unswap-sqr_binary64`
7×	`distribute-lft-out--_binary64`
5×	`div-exp_binary64` `cbrt-undiv_binary64` `difference-of-squares_binary64`
4×	`add-log-exp_binary64` `associate-*l/_binary64` `pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
3×	`times-frac_binary64` `associate-/l*_binary64`
2×	`pow2_binary64` `pow-plus_binary64` `*-commutative_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/r*_binary64`

Counts

4 → 146

Calls

4 calls:

20.0ms	(/.f64 x (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))))
12.0ms	(*.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))
6.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
3.0ms	(cbrt.f64 (-.f64 y t))

Compiler

Compiled 4623 to 1112 computations (75.9% saved)

series302.0ms (4.6%)

Error

0.0b

Counts

4 → 41

Calls

4 calls:

158.0ms	(/.f64 x (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))))
45.0ms	(*.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))
41.0ms	(cbrt.f64 (-.f64 y t))
21.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))

Compiler

Compiled 3575 to 2670 computations (25.3% saved)

simplify126.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

367×	`associate-/l/_binary64`
271×	`associate-r_binary64`
268×	`unswap-sqr_binary64`
264×	`associate-l_binary64`
197×	`associate-/r*_binary64`
171×	`*-commutative_binary64`
167×	`distribute-rgt-neg-in_binary64`
161×	`distribute-lft-neg-in_binary64`
159×	`distribute-rgt-in_binary64`
151×	`distribute-lft-in_binary64`
135×	`cancel-sign-sub-inv_binary64`
110×	`sqr-pow_binary64`
101×	`log-prod_binary64`
100×	`times-frac_binary64`
80×	`sub-neg_binary64`
78×	`exp-prod_binary64`
77×	`associate-/l*_binary64`
59×	`neg-sub0_binary64`
57×	`neg-mul-1_binary64`
43×	`+-commutative_binary64`
41×	`swap-sqr_binary64`
35×	`exp-sum_binary64` `distribute-rgt-out_binary64`
29×	`unsub-neg_binary64`
27×	`distribute-neg-in_binary64`
26×	`cube-prod_binary64`
25×	`log-div_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`
21×	`unpow1/3_binary64` `exp-diff_binary64` `div-sub_binary64` `associate-*l/_binary64`
19×	`-rgt-identity_binary64` `associate-r/_binary64`
18×	`*-lft-identity_binary64` `distribute-neg-out_binary64`
15×	`pow-sqr_binary64`
14×	`distribute-lft-out_binary64` `associate-/r/_binary64`
12×	`log-pow_binary64` `cube-unmult_binary64`
10×	`rem-sqrt-square_binary64` `distribute-rgt-out--_binary64`
9×	`associate--r+_binary64`
8×	`exp-to-pow_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
6×	`log-rec_binary64` `pow-plus_binary64` `exp-lft-sqr_binary64` `cube-div_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
5×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `exp-neg_binary64`
4×	`rem-3cbrt-lft_binary64` `/-rgt-identity_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `count-2_binary64`
3×	`rem-3cbrt-rft_binary64` `mul-1-neg_binary64`
2×	`unpow3_binary64` `cube-mult_binary64` `rem-square-sqrt_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-cbrt-cube_binary64` `remove-double-neg_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_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` `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-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-cube-cbrt_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` `distribute-neg-frac_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate--l+_binary64`

Counts

187 → 147

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	317	4092
1	764	3509
2	2461	3218
3	5007	3218

prune119.0ms (1.8%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	146	1	147
Fresh	1	10	11
Picked	0	1	1
Done	0	1	1
Total	147	13	160

Error

0.0b

Counts

160 → 13

Compiler

Compiled 3417 to 1300 computations (62% saved)

localize25.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.6b	(cbrt.f64 (cbrt.f64 z))
0.8b	(pow.f64 (cbrt.f64 (cbrt.f64 z)) 4)
1.0b	(/.f64 x (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z))) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 4)) (.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))))

rewrite186.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

41×	`add-exp-log_binary64`
34×	`cbrt-prod_binary64`
28×	`add-sqr-sqrt_binary64`
20×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
19×	`prod-exp_binary64`
16×	`add-cbrt-cube_binary64`
12×	`pow1_binary64` `cbrt-div_binary64`
10×	`associate-*r/_binary64`
9×	`div-exp_binary64` `cbrt-unprod_binary64` `unpow-prod-down_binary64`
8×	`associate-/r/_binary64` `pow1/3_binary64`
6×	`flip3--_binary64` `flip--_binary64` `swap-sqr_binary64` `associate-l_binary64` `associate-r_binary64`
5×	`cbrt-undiv_binary64`
4×	`add-log-exp_binary64` `frac-times_binary64` `unswap-sqr_binary64`
3×	`pow-to-exp_binary64` `pow-exp_binary64` `times-frac_binary64` `associate-/l*_binary64` `pow-unpow_binary64`
2×	`associate-*l/_binary64` `pow-pow_binary64` `pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/r_binary64` `sqr-pow_binary64` `pow2_binary64` `pow-plus_binary64` `-commutative_binary64`

Counts

4 → 117

Calls

4 calls:

19.0ms	(/.f64 x (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z))) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 4)) (.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))))
7.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
4.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 z)) 4)
2.0ms	(cbrt.f64 (cbrt.f64 z))

Compiler

Compiled 4589 to 1405 computations (69.4% saved)

series261.0ms (4%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

155.0ms	(/.f64 x (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z))) (pow.f64 (cbrt.f64 (cbrt.f64 z)) 4)) (.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))))
32.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 z)) 4)
23.0ms	(cbrt.f64 (cbrt.f64 z))
22.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))

Compiler

Compiled 2445 to 1816 computations (25.7% saved)

simplify149.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

379×	`log-prod_binary64`
346×	`associate-/l/_binary64`
311×	`unswap-sqr_binary64`
271×	`associate-l_binary64`
225×	`associate-r_binary64`
166×	`associate-/r*_binary64`
140×	`*-commutative_binary64`
139×	`distribute-rgt-in_binary64`
131×	`sqr-pow_binary64` `distribute-lft-in_binary64`
110×	`times-frac_binary64`
94×	`exp-prod_binary64`
93×	`associate-/l*_binary64`
68×	`swap-sqr_binary64`
67×	`sub-neg_binary64`
62×	`cancel-sign-sub-inv_binary64` `distribute-rgt-neg-in_binary64`
61×	`distribute-lft-neg-in_binary64`
46×	`log-div_binary64`
41×	`log-pow_binary64`
37×	`cube-prod_binary64`
35×	`neg-sub0_binary64`
34×	`neg-mul-1_binary64`
33×	`+-commutative_binary64`
30×	`exp-sum_binary64`
29×	`distribute-rgt-out_binary64`
28×	`unsub-neg_binary64`
24×	`distribute-rgt-neg-out_binary64`
23×	`distribute-lft-neg-out_binary64`
22×	`associate-*l/_binary64`
20×	`exp-diff_binary64` `div-sub_binary64` `distribute-neg-in_binary64` `associate-*r/_binary64`
18×	`distribute-neg-out_binary64`
17×	`associate-/r/_binary64`
16×	`pow-sqr_binary64`
15×	`unpow2_binary64` `unpow1_binary64`
14×	`cube-unmult_binary64`
12×	`unpow1/3_binary64` `pow-plus_binary64` `distribute-lft-out_binary64` `associate--r+_binary64`
10×	`associate-+l+_binary64`
9×	`rem-sqrt-square_binary64`
8×	`exp-to-pow_binary64` `distribute-rgt-out--_binary64` `associate-+r+_binary64`
7×	`log-rec_binary64` `*-rgt-identity_binary64`
6×	`unpow1/2_binary64` `exp-lft-sqr_binary64` `*-lft-identity_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
5×	`exp-neg_binary64` `cube-div_binary64`
4×	`difference-of-squares_binary64` `distribute-lft-out--_binary64` `count-2_binary64`
3×	`rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64`
2×	`unpow3_binary64` `cube-mult_binary64` `cancel-sign-sub_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-cbrt-cube_binary64` `rem-square-sqrt_binary64` `mul-1-neg_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` `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-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `/-rgt-identity_binary64` `remove-double-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` `distribute-neg-frac_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64` `associate--l+_binary64`

Counts

141 → 104

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	294	3571
1	696	2999
2	2301	2803
3	4856	2803
4	5240	2803

prune103.0ms (1.6%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	0	10	10
Picked	0	1	1
Done	0	2	2
Total	103	14	117

Error

0.0b

Counts

117 → 14

Compiler

Compiled 2935 to 1157 computations (60.6% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 y t))
0.5b	(cbrt.f64 (-.f64 y t))
0.5b	(*.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))
2.9b	(.f64 (/.f64 x (.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))) (/.f64 (/.f64 2 (cbrt.f64 (-.f64 y t))) z))

rewrite351.0ms (5.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

179×	`times-frac_binary64`
156×	`add-sqr-sqrt_binary64`
128×	`*-un-lft-identity_binary64`
102×	`associate-r_binary64`
92×	`add-cube-cbrt_binary64`
85×	`cbrt-prod_binary64`
42×	`add-exp-log_binary64`
34×	`cbrt-div_binary64`
31×	`add-cbrt-cube_binary64`
23×	`associate-l_binary64`
17×	`flip3--_binary64` `flip--_binary64` `distribute-lft-out--_binary64`
15×	`div-exp_binary64` `cbrt-undiv_binary64` `difference-of-squares_binary64`
14×	`associate-/r/_binary64`
13×	`pow1_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
12×	`unswap-sqr_binary64`
10×	`swap-sqr_binary64`
9×	`frac-times_binary64`
8×	`pow1/3_binary64`
5×	`associate-l/_binary64` `associate-r/_binary64` `div-inv_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64`
2×	`*-commutative_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`pow2_binary64` `pow-plus_binary64`

Counts

4 → 233

Calls

4 calls:

54.0ms	(.f64 (/.f64 x (.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))) (/.f64 (/.f64 2 (cbrt.f64 (-.f64 y t))) z))
12.0ms	(*.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))
7.0ms	(cbrt.f64 (-.f64 y t))
3.0ms	(cbrt.f64 (-.f64 y t))

Compiler

Compiled 6994 to 1974 computations (71.8% saved)

series221.0ms (3.3%)

Error

0.0b

Counts

4 → 52

Calls

4 calls:

71.0ms	(.f64 (/.f64 x (.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))) (/.f64 (/.f64 2 (cbrt.f64 (-.f64 y t))) z))
42.0ms	(*.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))
40.0ms	(cbrt.f64 (-.f64 y t))
38.0ms	(cbrt.f64 (-.f64 y t))

Compiler

Compiled 2832 to 2217 computations (21.7% saved)

simplify168.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

646×	`associate-*r/_binary64`
440×	`associate-*l/_binary64`
367×	`associate-/l*_binary64`
342×	`associate-/r*_binary64`
334×	`associate-l_binary64`
293×	`times-frac_binary64`
277×	`associate-/l/_binary64`
166×	`*-commutative_binary64`
35×	`sqr-pow_binary64` `distribute-rgt-neg-in_binary64`
31×	`distribute-lft-neg-in_binary64`
27×	`cancel-sign-sub-inv_binary64`
26×	`sub-neg_binary64` `/-rgt-identity_binary64`
23×	`neg-sub0_binary64`
21×	`neg-mul-1_binary64`
18×	`associate-r_binary64`
16×	`associate-/r/_binary64`
10×	`unpow1/3_binary64` `exp-prod_binary64` `cube-unmult_binary64`
9×	`log-div_binary64` `*-lft-identity_binary64` `unswap-sqr_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `+-commutative_binary64`
7×	`log-prod_binary64`
6×	`swap-sqr_binary64` `associate-+l-_binary64`
5×	`*-rgt-identity_binary64` `distribute-neg-in_binary64`
4×	`distribute-neg-frac_binary64` `distribute-rgt-out_binary64`
3×	`unpow3_binary64` `unpow2_binary64` `unpow1_binary64` `cube-mult_binary64` `mul-1-neg_binary64` `distribute-lft-out_binary64` `associate-+r-_binary64`
2×	`rem-3cbrt-lft_binary64` `rem-sqrt-square_binary64` `unsub-neg_binary64` `difference-of-squares_binary64` `distribute-lft-neg-out_binary64`
1×	`log-rec_binary64` `1-exp_binary64` `rem-3cbrt-rft_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_binary64` `remove-double-neg_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt-out--_binary64` `count-2_binary64` `associate--l-_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-pow_binary64` `pow-base-0_binary64` `unpow1/2_binary64` `pow-plus_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` `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-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_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` `pow-sqr_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-lft-out--_binary64` `associate--r-_binary64` `associate--l+_binary64` `associate-+l+_binary64`

Counts

285 → 179

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	457	8297
1	1370	7201
2	5120	7201

prune138.0ms (2.1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	176	3	179
Fresh	6	4	10
Picked	0	1	1
Done	1	2	3
Total	183	10	193

Error

Counts

193 → 10

Compiler

Compiled 3509 to 1116 computations (68.2% saved)

regimes1.6s (24.4%)

Accuracy

Total 1.7b remaining (98.8%)

Threshold costs 0b (0%)

Compiler

Compiled 19272 to 14801 computations (23.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`sub-neg_binary64` `+-commutative_binary64`
1×	`1-exp_binary64` `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` `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	18	46
1	24	46
2	28	46
3	30	46
4	31	46
5	30	46

end1.0ms (0%)

Compiler: Compiled 29 to 17 computations (41.4% saved)

sample910.0ms (13.8%)

Algorithm

1×

intervals

Results

305.0ms	8000×	body	128	valid
28.0ms	676×	body	128	invalid

Compiler

Compiled 275 to 209 computations (24% saved)

Details

analyze797.0ms (12.1%)

sample22.0ms (0.3%)

simplify81.0ms (1.2%)

prune4.0ms (0.1%)

localize7.0ms (0.1%)

rewrite287.0ms (4.3%)

series132.0ms (2%)

simplify241.0ms (3.7%)

prune130.0ms (2%)

localize18.0ms (0.3%)

rewrite202.0ms (3.1%)

series302.0ms (4.6%)

simplify126.0ms (1.9%)

prune119.0ms (1.8%)

localize25.0ms (0.4%)

rewrite186.0ms (2.8%)

series261.0ms (4%)

simplify149.0ms (2.3%)

prune103.0ms (1.6%)

localize13.0ms (0.2%)

rewrite351.0ms (5.3%)

series221.0ms (3.3%)

simplify168.0ms (2.5%)

prune138.0ms (2.1%)

regimes1.6s (24.4%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample910.0ms (13.8%)

Profiling