Details

analyze421.0ms (25.6%)

Algorithm

1×	search
2×	egg-herbie

Rules

2074×	`distribute-lft-out--_binary64_6509`
788×	`distribute-rgt-out--_binary64_6511`
756×	`unsub-neg_binary64_6551`
614×	`sub-neg_binary64_6550`
581×	`distribute-rgt-out_binary64_6510`
575×	`+-commutative_binary64_6487`
502×	`distribute-neg-in_binary64_6518`
416×	`distribute-rgt-in_binary64_6507`
367×	`distribute-lft-out_binary64_6508`
340×	`distribute-rgt1-in_binary64_6513`
241×	`neg-sub0_binary64_6552`
202×	`neg-mul-1_binary64_6553`
193×	`distribute-rgt-neg-in_binary64_6515` `distribute-lft-in_binary64_6506`
163×	`*-commutative_binary64_6488`
155×	`distribute-lft-neg-out_binary64_6516`
141×	`associate--r+_binary64_6493`
140×	`distribute-lft-neg-in_binary64_6514`
119×	`associate-+r+_binary64_6489`
112×	`distribute-neg-out_binary64_6519`
101×	`associate--l+_binary64_6494`
98×	`associate-+l+_binary64_6490`
97×	`associate-+l-_binary64_6492`
93×	`associate-+r-_binary64_6491`
91×	`associate--r-_binary64_6496`
88×	`associate-l_binary64_6498`
84×	`*-rgt-identity_binary64_6547`
81×	`cancel-sign-sub-inv_binary64_6523` `associate-r_binary64_6497`
78×	`distribute-rgt-neg-out_binary64_6517`
70×	`associate--l-_binary64_6495`
50×	`remove-double-neg_binary64_6545`
40×	`distribute-lft1-in_binary64_6512`
35×	`*-lft-identity_binary64_6546`
20×	`cancel-sign-sub_binary64_6522`
10×	`sub0-neg_binary64_6544`
7×	`mul-1-neg_binary64_6549` `mul0-rgt_binary64_6540` `mul0-lft_binary64_6539` `swap-sqr_binary64_6524`
4×	`sqr-neg_binary64_6571` `--rgt-identity_binary64_6543`
3×	`+-rgt-identity_binary64_6542`
1×	`1-exp_binary64_6601` `+-lft-identity_binary64_6541` `difference-of-sqr-1_binary64_6527`
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_6820` `erf-erfc_binary64_6819` `erf-odd_binary64_6818` `if-if-and-not_binary64_6817` `if-if-and_binary64_6816` `if-if-or-not_binary64_6815` `if-if-or_binary64_6814` `if-not_binary64_6813` `if-same_binary64_6812` `if-false_binary64_6811` `if-true_binary64_6810` `not-gte_binary64_6809` `not-lte_binary64_6808` `not-gt_binary64_6807` `not-lt_binary64_6806` `gte-same_binary64_6805` `lte-same_binary64_6804` `gt-same_binary64_6803` `lt-same_binary64_6802` `sinh---cosh_binary64_6749` `sinh-+-cosh_binary64_6748` `sinh-cosh_binary64_6747` `tanh-def-c_binary64_6746` `tanh-def-b_binary64_6745` `tanh-def-a_binary64_6744` `cosh-def_binary64_6743` `sinh-def_binary64_6742` `tan-neg_binary64_6689` `cos-neg_binary64_6688` `sin-neg_binary64_6687` `tan-0_binary64_6686` `cos-0_binary64_6685` `sin-0_binary64_6684` `hang-m-tan_binary64_6683` `hang-p-tan_binary64_6682` `hang-m0-tan_binary64_6681` `hang-p0-tan_binary64_6680` `hang-0m-tan_binary64_6679` `hang-0p-tan_binary64_6678` `tan-+PI/2_binary64_6677` `tan-+PI_binary64_6676` `tan-PI_binary64_6675` `tan-PI/3_binary64_6674` `tan-PI/4_binary64_6673` `tan-PI/6_binary64_6672` `cos-+PI/2_binary64_6671` `cos-+PI_binary64_6670` `cos-PI_binary64_6669` `cos-PI/2_binary64_6668` `cos-PI/3_binary64_6667` `cos-PI/4_binary64_6666` `cos-PI/6_binary64_6665` `sin-+PI/2_binary64_6664` `sin-+PI_binary64_6663` `sin-PI_binary64_6662` `sin-PI/2_binary64_6661` `sin-PI/3_binary64_6660` `sin-PI/4_binary64_6659` `sin-PI/6_binary64_6658` `sub-1-sin_binary64_6657` `sub-1-cos_binary64_6656` `-1-add-sin_binary64_6655` `-1-add-cos_binary64_6654` `1-sub-sin_binary64_6653` `1-sub-cos_binary64_6652` `cos-sin-sum_binary64_6651` `log-E_binary64_6647` `log-pow_binary64_6646` `log-rec_binary64_6645` `log-div_binary64_6644` `log-prod_binary64_6643` `pow-base-0_binary64_6641` `unpow1/3_binary64_6624` `unpow3_binary64_6623` `unpow2_binary64_6622` `unpow1/2_binary64_6621` `pow-plus_binary64_6620` `exp-to-pow_binary64_6619` `pow-base-1_binary64_6617` `unpow0_binary64_6616` `unpow1_binary64_6615` `unpow-1_binary64_6614` `exp-lft-cube_binary64_6613` `exp-lft-sqr_binary64_6612` `exp-cbrt_binary64_6611` `exp-sqrt_binary64_6610` `exp-prod_binary64_6609` `div-exp_binary64_6608` `rec-exp_binary64_6607` `prod-exp_binary64_6606` `exp-diff_binary64_6605` `exp-neg_binary64_6604` `exp-sum_binary64_6603` `e-exp-1_binary64_6602` `exp-1-e_binary64_6600` `exp-0_binary64_6599` `rem-log-exp_binary64_6598` `rem-exp-log_binary64_6597` `cube-unmult_binary64_6594` `cube-mult_binary64_6587` `cube-div_binary64_6586` `cube-prod_binary64_6585` `cube-neg_binary64_6584` `rem-3cbrt-rft_binary64_6583` `rem-3cbrt-lft_binary64_6582` `rem-cbrt-cube_binary64_6581` `rem-cube-cbrt_binary64_6580` `sqr-abs_binary64_6572` `rem-sqrt-square_binary64_6570` `rem-square-sqrt_binary64_6569` `times-frac_binary64_6563` `div-sub_binary64_6562` `/-rgt-identity_binary64_6548` `div0_binary64_6538` `-inverses_binary64_6537` `+-inverses_binary64_6536` `lft-mult-inverse_binary64_6535` `rgt-mult-inverse_binary64_6534` `remove-double-div_binary64_6533` `pow-sqr_binary64_6530` `sqr-pow_binary64_6529` `difference-of-sqr--1_binary64_6528` `difference-of-squares_binary64_6526` `unswap-sqr_binary64_6525` `distribute-neg-frac_binary64_6521` `distribute-frac-neg_binary64_6520` `count-2_binary64_6505` `associate-/l/_binary64_6504` `associate-/r/_binary64_6503` `associate-/l_binary64_6502` `associate-/r_binary64_6501` `associate-l/_binary64_6500` `associate-*r/_binary64_6499`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	13	9
2	19	9
3	26	9
4	40	9
5	55	9
6	91	9
7	208	9
8	359	9
9	468	9
10	1070	9
11	1850	9
12	1904	9
13	2140	9
14	2288	9
15	2286	9
16	2363	9
17	2622	9
18	3185	9
19	4177	9
20	4711	9
21	4753	9
22	4764	9
23	4761	9
24	4546	9
25	4339	9
26	4476	9
27	4536	9
28	4579	9
29	7521	9
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample12.0ms (0.8%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify294.0ms (17.9%)

Algorithm

1×	egg-herbie

Rules

2074×	`distribute-lft-out--_binary64_6509`
788×	`distribute-rgt-out--_binary64_6511`
756×	`unsub-neg_binary64_6551`
614×	`sub-neg_binary64_6550`
581×	`distribute-rgt-out_binary64_6510`
575×	`+-commutative_binary64_6487`
502×	`distribute-neg-in_binary64_6518`
416×	`distribute-rgt-in_binary64_6507`
367×	`distribute-lft-out_binary64_6508`
340×	`distribute-rgt1-in_binary64_6513`
241×	`neg-sub0_binary64_6552`
202×	`neg-mul-1_binary64_6553`
193×	`distribute-rgt-neg-in_binary64_6515` `distribute-lft-in_binary64_6506`
163×	`*-commutative_binary64_6488`
155×	`distribute-lft-neg-out_binary64_6516`
141×	`associate--r+_binary64_6493`
140×	`distribute-lft-neg-in_binary64_6514`
119×	`associate-+r+_binary64_6489`
112×	`distribute-neg-out_binary64_6519`
101×	`associate--l+_binary64_6494`
98×	`associate-+l+_binary64_6490`
97×	`associate-+l-_binary64_6492`
93×	`associate-+r-_binary64_6491`
91×	`associate--r-_binary64_6496`
88×	`associate-l_binary64_6498`
84×	`*-rgt-identity_binary64_6547`
81×	`cancel-sign-sub-inv_binary64_6523` `associate-r_binary64_6497`
78×	`distribute-rgt-neg-out_binary64_6517`
70×	`associate--l-_binary64_6495`
50×	`remove-double-neg_binary64_6545`
40×	`distribute-lft1-in_binary64_6512`
35×	`*-lft-identity_binary64_6546`
20×	`cancel-sign-sub_binary64_6522`
10×	`sub0-neg_binary64_6544`
7×	`mul-1-neg_binary64_6549` `mul0-rgt_binary64_6540` `mul0-lft_binary64_6539` `swap-sqr_binary64_6524`
4×	`sqr-neg_binary64_6571` `--rgt-identity_binary64_6543`
3×	`+-rgt-identity_binary64_6542`
1×	`1-exp_binary64_6601` `+-lft-identity_binary64_6541` `difference-of-sqr-1_binary64_6527`
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_6820` `erf-erfc_binary64_6819` `erf-odd_binary64_6818` `if-if-and-not_binary64_6817` `if-if-and_binary64_6816` `if-if-or-not_binary64_6815` `if-if-or_binary64_6814` `if-not_binary64_6813` `if-same_binary64_6812` `if-false_binary64_6811` `if-true_binary64_6810` `not-gte_binary64_6809` `not-lte_binary64_6808` `not-gt_binary64_6807` `not-lt_binary64_6806` `gte-same_binary64_6805` `lte-same_binary64_6804` `gt-same_binary64_6803` `lt-same_binary64_6802` `sinh---cosh_binary64_6749` `sinh-+-cosh_binary64_6748` `sinh-cosh_binary64_6747` `tanh-def-c_binary64_6746` `tanh-def-b_binary64_6745` `tanh-def-a_binary64_6744` `cosh-def_binary64_6743` `sinh-def_binary64_6742` `tan-neg_binary64_6689` `cos-neg_binary64_6688` `sin-neg_binary64_6687` `tan-0_binary64_6686` `cos-0_binary64_6685` `sin-0_binary64_6684` `hang-m-tan_binary64_6683` `hang-p-tan_binary64_6682` `hang-m0-tan_binary64_6681` `hang-p0-tan_binary64_6680` `hang-0m-tan_binary64_6679` `hang-0p-tan_binary64_6678` `tan-+PI/2_binary64_6677` `tan-+PI_binary64_6676` `tan-PI_binary64_6675` `tan-PI/3_binary64_6674` `tan-PI/4_binary64_6673` `tan-PI/6_binary64_6672` `cos-+PI/2_binary64_6671` `cos-+PI_binary64_6670` `cos-PI_binary64_6669` `cos-PI/2_binary64_6668` `cos-PI/3_binary64_6667` `cos-PI/4_binary64_6666` `cos-PI/6_binary64_6665` `sin-+PI/2_binary64_6664` `sin-+PI_binary64_6663` `sin-PI_binary64_6662` `sin-PI/2_binary64_6661` `sin-PI/3_binary64_6660` `sin-PI/4_binary64_6659` `sin-PI/6_binary64_6658` `sub-1-sin_binary64_6657` `sub-1-cos_binary64_6656` `-1-add-sin_binary64_6655` `-1-add-cos_binary64_6654` `1-sub-sin_binary64_6653` `1-sub-cos_binary64_6652` `cos-sin-sum_binary64_6651` `log-E_binary64_6647` `log-pow_binary64_6646` `log-rec_binary64_6645` `log-div_binary64_6644` `log-prod_binary64_6643` `pow-base-0_binary64_6641` `unpow1/3_binary64_6624` `unpow3_binary64_6623` `unpow2_binary64_6622` `unpow1/2_binary64_6621` `pow-plus_binary64_6620` `exp-to-pow_binary64_6619` `pow-base-1_binary64_6617` `unpow0_binary64_6616` `unpow1_binary64_6615` `unpow-1_binary64_6614` `exp-lft-cube_binary64_6613` `exp-lft-sqr_binary64_6612` `exp-cbrt_binary64_6611` `exp-sqrt_binary64_6610` `exp-prod_binary64_6609` `div-exp_binary64_6608` `rec-exp_binary64_6607` `prod-exp_binary64_6606` `exp-diff_binary64_6605` `exp-neg_binary64_6604` `exp-sum_binary64_6603` `e-exp-1_binary64_6602` `exp-1-e_binary64_6600` `exp-0_binary64_6599` `rem-log-exp_binary64_6598` `rem-exp-log_binary64_6597` `cube-unmult_binary64_6594` `cube-mult_binary64_6587` `cube-div_binary64_6586` `cube-prod_binary64_6585` `cube-neg_binary64_6584` `rem-3cbrt-rft_binary64_6583` `rem-3cbrt-lft_binary64_6582` `rem-cbrt-cube_binary64_6581` `rem-cube-cbrt_binary64_6580` `sqr-abs_binary64_6572` `rem-sqrt-square_binary64_6570` `rem-square-sqrt_binary64_6569` `times-frac_binary64_6563` `div-sub_binary64_6562` `/-rgt-identity_binary64_6548` `div0_binary64_6538` `-inverses_binary64_6537` `+-inverses_binary64_6536` `lft-mult-inverse_binary64_6535` `rgt-mult-inverse_binary64_6534` `remove-double-div_binary64_6533` `pow-sqr_binary64_6530` `sqr-pow_binary64_6529` `difference-of-sqr--1_binary64_6528` `difference-of-squares_binary64_6526` `unswap-sqr_binary64_6525` `distribute-neg-frac_binary64_6521` `distribute-frac-neg_binary64_6520` `count-2_binary64_6505` `associate-/l/_binary64_6504` `associate-/r/_binary64_6503` `associate-/l_binary64_6502` `associate-/r_binary64_6501` `associate-l/_binary64_6500` `associate-*r/_binary64_6499`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	13	9
2	19	9
3	26	9
4	40	9
5	55	9
6	91	9
7	208	9
8	359	9
9	468	9
10	1070	9
11	1850	9
12	1904	9
13	2140	9
14	2288	9
15	2286	9
16	2363	9
17	2622	9
18	3185	9
19	4177	9
20	4711	9
21	4753	9
22	4764	9
23	4761	9
24	4546	9
25	4339	9
26	4476	9
27	4536	9
28	4579	9
29	7521	9

prune1.0ms (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

0.0b

Counts

1 → 1

Compiler

Compiled 6 to 5 computations (16.7% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 1 (*.f64 x x))
0.0b	(sqrt.f64 (-.f64 1 (*.f64 x x)))

rewrite34.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`add-sqr-sqrt_binary64_6579`
5×	`sqrt-prod_binary64_6573` `*-un-lft-identity_binary64_6557`
4×	`add-log-exp_binary64_6596` `difference-of-squares_binary64_6526`
3×	`pow1_binary64_6618` `add-cube-cbrt_binary64_6592`
2×	`add-exp-log_binary64_6595` `add-cbrt-cube_binary64_6593` `flip3--_binary64_6561` `sqrt-div_binary64_6574` `flip--_binary64_6532`
1×	`pow1/2_binary64_6637` `sqrt-pow1_binary64_6575` `rem-sqrt-square_binary64_6570` `diff-log_binary64_6649` `sub-neg_binary64_6550` `cancel-sign-sub-inv_binary64_6523`

Counts

2 → 31

Calls

2 calls:

3.0ms	(sqrt.f64 (-.f64 1 (*.f64 x x)))
3.0ms	(-.f64 1 (*.f64 x x))

Compiler

Compiled 401 to 243 computations (39.4% saved)

series82.0ms (5%)

Error

Counts

2 → 12

Calls

2 calls:

47.0ms	(-.f64 1 (*.f64 x x))
27.0ms	(sqrt.f64 (-.f64 1 (*.f64 x x)))

Compiler

Compiled 209 to 194 computations (7.2% saved)

simplify79.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

477×	`distribute-rgt-neg-in_binary64_6515`
473×	`neg-mul-1_binary64_6553`
460×	`neg-sub0_binary64_6552`
378×	`cancel-sign-sub-inv_binary64_6523`
363×	`unsub-neg_binary64_6551`
342×	`distribute-lft-neg-in_binary64_6514`
268×	`unswap-sqr_binary64_6525`
214×	`*-commutative_binary64_6488`
171×	`sub-neg_binary64_6550`
167×	`distribute-lft-neg-out_binary64_6516`
160×	`distribute-rgt-neg-out_binary64_6517`
159×	`distribute-neg-out_binary64_6519`
150×	`distribute-rgt-in_binary64_6507`
148×	`associate-l_binary64_6498`
140×	`associate-r_binary64_6497`
121×	`exp-prod_binary64_6609`
112×	`distribute-lft-in_binary64_6506`
98×	`distribute-rgt-out--_binary64_6511`
92×	`distribute-neg-in_binary64_6518`
82×	`sqr-pow_binary64_6529`
69×	`distribute-rgt-out_binary64_6510`
66×	`distribute-lft-out_binary64_6508`
57×	`associate-+l-_binary64_6492`
54×	`cube-prod_binary64_6585`
48×	`cancel-sign-sub_binary64_6522`
47×	`associate-+l+_binary64_6490`
43×	`times-frac_binary64_6563`
36×	`+-commutative_binary64_6487`
34×	`sub0-neg_binary64_6544`
31×	`associate-+r+_binary64_6489`
26×	`exp-sum_binary64_6603`
23×	`mul0-rgt_binary64_6540` `mul0-lft_binary64_6539`
22×	`pow-plus_binary64_6620` `cube-unmult_binary64_6594` `sqr-neg_binary64_6571` `rem-sqrt-square_binary64_6570`
21×	`associate--r+_binary64_6493`
20×	`div-sub_binary64_6562` `swap-sqr_binary64_6524`
19×	`pow-sqr_binary64_6530` `distribute-rgt1-in_binary64_6513` `associate--l+_binary64_6494`
18×	`remove-double-neg_binary64_6545`
16×	`exp-diff_binary64_6605` `*-lft-identity_binary64_6546` `distribute-lft-out--_binary64_6509` `associate-+r-_binary64_6491`
15×	`*-rgt-identity_binary64_6547`
14×	`difference-of-squares_binary64_6526`
12×	`unpow3_binary64_6623` `+-rgt-identity_binary64_6542`
11×	`associate-/r*_binary64_6501`
10×	`difference-of-sqr-1_binary64_6527`
9×	`log-prod_binary64_6643`
8×	`distribute-lft1-in_binary64_6512` `associate-/l*_binary64_6502`
7×	`unpow1/2_binary64_6621` `mul-1-neg_binary64_6549`
6×	`difference-of-sqr--1_binary64_6528` `associate--l-_binary64_6495`
5×	`--rgt-identity_binary64_6543`
4×	`associate-*r/_binary64_6499` `associate--r-_binary64_6496`
3×	`cube-neg_binary64_6584` `distribute-neg-frac_binary64_6521` `associate-/l/_binary64_6504`
2×	`unpow2_binary64_6622` `unpow1_binary64_6615` `associate-/r/_binary64_6503`
1×	`div-exp_binary64_6608` `exp-neg_binary64_6604` `1-exp_binary64_6601` `exp-1-e_binary64_6600` `cube-mult_binary64_6587` `rem-square-sqrt_binary64_6569` `distribute-frac-neg_binary64_6520` `count-2_binary64_6505` `associate-*l/_binary64_6500`
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_6820` `erf-erfc_binary64_6819` `erf-odd_binary64_6818` `if-if-and-not_binary64_6817` `if-if-and_binary64_6816` `if-if-or-not_binary64_6815` `if-if-or_binary64_6814` `if-not_binary64_6813` `if-same_binary64_6812` `if-false_binary64_6811` `if-true_binary64_6810` `not-gte_binary64_6809` `not-lte_binary64_6808` `not-gt_binary64_6807` `not-lt_binary64_6806` `gte-same_binary64_6805` `lte-same_binary64_6804` `gt-same_binary64_6803` `lt-same_binary64_6802` `sinh---cosh_binary64_6749` `sinh-+-cosh_binary64_6748` `sinh-cosh_binary64_6747` `tanh-def-c_binary64_6746` `tanh-def-b_binary64_6745` `tanh-def-a_binary64_6744` `cosh-def_binary64_6743` `sinh-def_binary64_6742` `tan-neg_binary64_6689` `cos-neg_binary64_6688` `sin-neg_binary64_6687` `tan-0_binary64_6686` `cos-0_binary64_6685` `sin-0_binary64_6684` `hang-m-tan_binary64_6683` `hang-p-tan_binary64_6682` `hang-m0-tan_binary64_6681` `hang-p0-tan_binary64_6680` `hang-0m-tan_binary64_6679` `hang-0p-tan_binary64_6678` `tan-+PI/2_binary64_6677` `tan-+PI_binary64_6676` `tan-PI_binary64_6675` `tan-PI/3_binary64_6674` `tan-PI/4_binary64_6673` `tan-PI/6_binary64_6672` `cos-+PI/2_binary64_6671` `cos-+PI_binary64_6670` `cos-PI_binary64_6669` `cos-PI/2_binary64_6668` `cos-PI/3_binary64_6667` `cos-PI/4_binary64_6666` `cos-PI/6_binary64_6665` `sin-+PI/2_binary64_6664` `sin-+PI_binary64_6663` `sin-PI_binary64_6662` `sin-PI/2_binary64_6661` `sin-PI/3_binary64_6660` `sin-PI/4_binary64_6659` `sin-PI/6_binary64_6658` `sub-1-sin_binary64_6657` `sub-1-cos_binary64_6656` `-1-add-sin_binary64_6655` `-1-add-cos_binary64_6654` `1-sub-sin_binary64_6653` `1-sub-cos_binary64_6652` `cos-sin-sum_binary64_6651` `log-E_binary64_6647` `log-pow_binary64_6646` `log-rec_binary64_6645` `log-div_binary64_6644` `pow-base-0_binary64_6641` `unpow1/3_binary64_6624` `exp-to-pow_binary64_6619` `pow-base-1_binary64_6617` `unpow0_binary64_6616` `unpow-1_binary64_6614` `exp-lft-cube_binary64_6613` `exp-lft-sqr_binary64_6612` `exp-cbrt_binary64_6611` `exp-sqrt_binary64_6610` `rec-exp_binary64_6607` `prod-exp_binary64_6606` `e-exp-1_binary64_6602` `exp-0_binary64_6599` `rem-log-exp_binary64_6598` `rem-exp-log_binary64_6597` `cube-div_binary64_6586` `rem-3cbrt-rft_binary64_6583` `rem-3cbrt-lft_binary64_6582` `rem-cbrt-cube_binary64_6581` `rem-cube-cbrt_binary64_6580` `sqr-abs_binary64_6572` `/-rgt-identity_binary64_6548` `+-lft-identity_binary64_6541` `div0_binary64_6538` `*-inverses_binary64_6537` `+-inverses_binary64_6536` `lft-mult-inverse_binary64_6535` `rgt-mult-inverse_binary64_6534` `remove-double-div_binary64_6533`

Counts

43 → 23

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	72	485
1	144	464
2	344	464
3	996	464
4	2179	464
5	4173	464
6	4984	464

prune16.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	22	1	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	2	24

Error

Counts

24 → 2

Compiler

Compiled 221 to 144 computations (34.8% saved)

localize7.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b	(.f64 1/2 (.f64 x x))

rewrite22.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`pow1_binary64_6618` `add-exp-log_binary64_6595` `add-cbrt-cube_binary64_6593`
3×	`pow-prod-down_binary64_6628` `prod-exp_binary64_6606` `cbrt-unprod_binary64_6590` `add-sqr-sqrt_binary64_6579` `associate-l_binary64_6498`
2×	`add-cube-cbrt_binary64_6592` `*-un-lft-identity_binary64_6557`
1×	`add-log-exp_binary64_6596` `unswap-sqr_binary64_6525` `associate-r_binary64_6497` `*-commutative_binary64_6488`

Counts

1 → 19

Calls

1 calls:

6.0ms

(*.f64 1/2 (*.f64 x x))

Compiler

Compiled 231 to 151 computations (34.6% saved)

series38.0ms (2.3%)

Error

Counts

1 → 3

Calls

1 calls:

36.0ms

(*.f64 1/2 (*.f64 x x))

Compiler

Compiled 63 to 61 computations (3.2% saved)

simplify67.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

680×	`associate-/l/_binary64_6504`
566×	`associate-/r/_binary64_6503`
354×	`log-prod_binary64_6643`
351×	`distribute-rgt-in_binary64_6507`
315×	`distribute-lft-in_binary64_6506`
208×	`*-commutative_binary64_6488`
182×	`sqr-pow_binary64_6529`
165×	`associate-l_binary64_6498`
151×	`times-frac_binary64_6563`
134×	`log-div_binary64_6644`
122×	`unswap-sqr_binary64_6525` `associate-r_binary64_6497`
116×	`associate-+l+_binary64_6490`
113×	`associate-/l*_binary64_6502`
86×	`pow-sqr_binary64_6530`
73×	`associate-+r+_binary64_6489`
64×	`distribute-rgt-out_binary64_6510`
53×	`exp-prod_binary64_6609`
48×	`associate-/r*_binary64_6501`
43×	`cube-prod_binary64_6585`
37×	`associate-*r/_binary64_6499`
27×	`log-pow_binary64_6646`
26×	`distribute-lft-out_binary64_6508`
20×	`count-2_binary64_6505`
19×	`associate-*l/_binary64_6500`
18×	`unpow3_binary64_6623`
17×	`pow-plus_binary64_6620` `*-lft-identity_binary64_6546`
16×	`+-commutative_binary64_6487`
14×	`cube-mult_binary64_6587`
12×	`swap-sqr_binary64_6524`
10×	`*-rgt-identity_binary64_6547`
9×	`distribute-rgt1-in_binary64_6513`
6×	`cube-unmult_binary64_6594` `rem-sqrt-square_binary64_6570`
5×	`distribute-lft1-in_binary64_6512`
4×	`unpow1/2_binary64_6621` `/-rgt-identity_binary64_6548`
3×	`unpow2_binary64_6622`
1×	`log-rec_binary64_6645` `unpow1_binary64_6615` `prod-exp_binary64_6606` `1-exp_binary64_6601`
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_6820` `erf-erfc_binary64_6819` `erf-odd_binary64_6818` `if-if-and-not_binary64_6817` `if-if-and_binary64_6816` `if-if-or-not_binary64_6815` `if-if-or_binary64_6814` `if-not_binary64_6813` `if-same_binary64_6812` `if-false_binary64_6811` `if-true_binary64_6810` `not-gte_binary64_6809` `not-lte_binary64_6808` `not-gt_binary64_6807` `not-lt_binary64_6806` `gte-same_binary64_6805` `lte-same_binary64_6804` `gt-same_binary64_6803` `lt-same_binary64_6802` `sinh---cosh_binary64_6749` `sinh-+-cosh_binary64_6748` `sinh-cosh_binary64_6747` `tanh-def-c_binary64_6746` `tanh-def-b_binary64_6745` `tanh-def-a_binary64_6744` `cosh-def_binary64_6743` `sinh-def_binary64_6742` `tan-neg_binary64_6689` `cos-neg_binary64_6688` `sin-neg_binary64_6687` `tan-0_binary64_6686` `cos-0_binary64_6685` `sin-0_binary64_6684` `hang-m-tan_binary64_6683` `hang-p-tan_binary64_6682` `hang-m0-tan_binary64_6681` `hang-p0-tan_binary64_6680` `hang-0m-tan_binary64_6679` `hang-0p-tan_binary64_6678` `tan-+PI/2_binary64_6677` `tan-+PI_binary64_6676` `tan-PI_binary64_6675` `tan-PI/3_binary64_6674` `tan-PI/4_binary64_6673` `tan-PI/6_binary64_6672` `cos-+PI/2_binary64_6671` `cos-+PI_binary64_6670` `cos-PI_binary64_6669` `cos-PI/2_binary64_6668` `cos-PI/3_binary64_6667` `cos-PI/4_binary64_6666` `cos-PI/6_binary64_6665` `sin-+PI/2_binary64_6664` `sin-+PI_binary64_6663` `sin-PI_binary64_6662` `sin-PI/2_binary64_6661` `sin-PI/3_binary64_6660` `sin-PI/4_binary64_6659` `sin-PI/6_binary64_6658` `sub-1-sin_binary64_6657` `sub-1-cos_binary64_6656` `-1-add-sin_binary64_6655` `-1-add-cos_binary64_6654` `1-sub-sin_binary64_6653` `1-sub-cos_binary64_6652` `cos-sin-sum_binary64_6651` `log-E_binary64_6647` `pow-base-0_binary64_6641` `unpow1/3_binary64_6624` `exp-to-pow_binary64_6619` `pow-base-1_binary64_6617` `unpow0_binary64_6616` `unpow-1_binary64_6614` `exp-lft-cube_binary64_6613` `exp-lft-sqr_binary64_6612` `exp-cbrt_binary64_6611` `exp-sqrt_binary64_6610` `div-exp_binary64_6608` `rec-exp_binary64_6607` `exp-diff_binary64_6605` `exp-neg_binary64_6604` `exp-sum_binary64_6603` `e-exp-1_binary64_6602` `exp-1-e_binary64_6600` `exp-0_binary64_6599` `rem-log-exp_binary64_6598` `rem-exp-log_binary64_6597` `cube-div_binary64_6586` `cube-neg_binary64_6584` `rem-3cbrt-rft_binary64_6583` `rem-3cbrt-lft_binary64_6582` `rem-cbrt-cube_binary64_6581` `rem-cube-cbrt_binary64_6580` `sqr-abs_binary64_6572` `sqr-neg_binary64_6571` `rem-square-sqrt_binary64_6569` `div-sub_binary64_6562` `neg-mul-1_binary64_6553` `neg-sub0_binary64_6552` `unsub-neg_binary64_6551` `sub-neg_binary64_6550` `mul-1-neg_binary64_6549` `remove-double-neg_binary64_6545` `sub0-neg_binary64_6544` `--rgt-identity_binary64_6543` `+-rgt-identity_binary64_6542` `+-lft-identity_binary64_6541` `mul0-rgt_binary64_6540` `mul0-lft_binary64_6539` `div0_binary64_6538` `*-inverses_binary64_6537` `+-inverses_binary64_6536` `lft-mult-inverse_binary64_6535` `rgt-mult-inverse_binary64_6534` `remove-double-div_binary64_6533` `difference-of-sqr--1_binary64_6528` `difference-of-sqr-1_binary64_6527` `difference-of-squares_binary64_6526` `cancel-sign-sub-inv_binary64_6523` `cancel-sign-sub_binary64_6522` `distribute-neg-frac_binary64_6521` `distribute-frac-neg_binary64_6520` `distribute-neg-out_binary64_6519` `distribute-neg-in_binary64_6518` `distribute-rgt-neg-out_binary64_6517` `distribute-lft-neg-out_binary64_6516` `distribute-rgt-neg-in_binary64_6515` `distribute-lft-neg-in_binary64_6514` `distribute-rgt-out--_binary64_6511` `distribute-lft-out--_binary64_6509` `associate--r-_binary64_6496` `associate--l-_binary64_6495` `associate--l+_binary64_6494` `associate--r+_binary64_6493` `associate-+l-_binary64_6492` `associate-+r-_binary64_6491`

Counts

22 → 12

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	225
1	74	189
2	172	179
3	412	179
4	617	179
5	988	179
6	1886	179
7	4546	179
8	5148	179

prune8.0ms (0.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	12	0	12
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	12	2	14

Error

Counts

14 → 2

Compiler

Compiled 107 to 81 computations (24.3% saved)

regimes56.0ms (3.4%)

Accuracy

Total 0.0b remaining (91.1%)

Threshold costs 0.0b (91.1%)

Compiler

Compiled 350 to 296 computations (15.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`sub-neg_binary64_6550` `+-commutative_binary64_6487`
2×	`neg-mul-1_binary64_6553` `neg-sub0_binary64_6552` `*-commutative_binary64_6488`
1×	`1-exp_binary64_6601` `cancel-sign-sub-inv_binary64_6523` `distribute-lft-neg-out_binary64_6516` `distribute-rgt-neg-in_binary64_6515`
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_6817` `if-if-and_binary64_6816` `if-if-or-not_binary64_6815` `if-if-or_binary64_6814` `if-not_binary64_6813` `if-same_binary64_6812` `if-false_binary64_6811` `if-true_binary64_6810` `tan-0_binary64_6686` `cos-0_binary64_6685` `sin-0_binary64_6684` `unpow1_binary64_6615` `e-exp-1_binary64_6602` `exp-1-e_binary64_6600` `exp-0_binary64_6599` `sqr-abs_binary64_6572` `sqr-neg_binary64_6571` `unsub-neg_binary64_6551` `mul-1-neg_binary64_6549` `/-rgt-identity_binary64_6548` `-rgt-identity_binary64_6547` `-lft-identity_binary64_6546` `remove-double-neg_binary64_6545` `sub0-neg_binary64_6544` `--rgt-identity_binary64_6543` `+-rgt-identity_binary64_6542` `+-lft-identity_binary64_6541` `cancel-sign-sub_binary64_6522` `distribute-neg-frac_binary64_6521` `distribute-frac-neg_binary64_6520` `distribute-neg-out_binary64_6519` `distribute-neg-in_binary64_6518` `distribute-rgt-neg-out_binary64_6517` `distribute-lft-neg-in_binary64_6514`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	13	9
2	19	9
3	23	9
4	25	9
5	24	9

end0.0ms (0%)

sample498.0ms (30.3%)

Algorithm

1×

intervals

Results

188.0ms

8000×

body

128

valid

Compiler

Compiled 93 to 80 computations (14% saved)

Details

analyze421.0ms (25.6%)

sample12.0ms (0.8%)

simplify294.0ms (17.9%)

prune1.0ms (0.1%)

localize4.0ms (0.2%)

rewrite34.0ms (2.1%)

series82.0ms (5%)

simplify79.0ms (4.8%)

prune16.0ms (1%)

localize7.0ms (0.4%)

rewrite22.0ms (1.4%)

series38.0ms (2.3%)

simplify67.0ms (4.1%)

prune8.0ms (0.5%)

regimes56.0ms (3.4%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample498.0ms (30.3%)

Profiling