Details

analyze254.0ms (4.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5283	12
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 9 to 8 computations (11.1% saved)

sample74.0ms (1.3%)

Algorithm

1×

intervals

Results

44.0ms	138×	body	1024	valid
11.0ms	58×	body	512	valid
7.0ms	13×	body	2048	valid
3.0ms	28×	body	256	valid
1.0ms	19×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify164.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (158.0ms)

Iter	Nodes	Cost
0	5283	12

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

58.1b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
4.3b	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

rewrite134.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

57.8b

Rules

78×	`*-un-lft-identity_binary64_1101`
52×	`add-sqr-sqrt_binary64_1123`
48×	`times-frac_binary64_1107`
30×	`log-prod_binary64_1187`
25×	`add-cube-cbrt_binary64_1136`
18×	`difference-of-squares_binary64_1070`
13×	`distribute-lft-out_binary64_1052`
9×	`distribute-lft-out--_binary64_1053`
7×	`add-exp-log_binary64_1139`
6×	`associate-/l*_binary64_1046`
4×	`associate-/r/_binary64_1047` `add-cbrt-cube_binary64_1137` `associate-/r*_binary64_1045`
3×	`pow1_binary64_1162`
2×	`div-inv_binary64_1098` `flip3-+_binary64_1104` `flip-+_binary64_1075` `div-exp_binary64_1152` `rem-log-exp_binary64_1142` `add-log-exp_binary64_1140` `associate-/l/_binary64_1048`
1×	`log-pow_binary64_1190` `log-div_binary64_1188` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `div-sub_binary64_1106` `clear-num_binary64_1100` `flip3--_binary64_1105` `flip--_binary64_1076`

Counts

2 → 92

Calls

2 calls:

9.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
8.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

Compiler

Compiled 1606 to 1253 computations (22% saved)

series75.0ms (1.3%)

Error

0.0b

Counts

2 → 14

Calls

2 calls:

42.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
21.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))

Compiler

Compiled 274 to 251 computations (8.4% saved)

simplify78.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5400	1921

prune94.0ms (1.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	104	2	106
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	105	2	107

Error

Counts

107 → 2

Compiler

Compiled 1555 to 1198 computations (23% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (-.f64 (.f64 -2 eps) (.f64 2/3 (pow.f64 eps 3))) (*.f64 2/5 (pow.f64 eps 5)))
0.1b	(*.f64 2/5 (pow.f64 eps 5))
0.1b	(*.f64 2/3 (pow.f64 eps 3))

rewrite118.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

22×	`add-sqr-sqrt_binary64_1123`
19×	`associate-r_binary64_1041`
13×	`add-exp-log_binary64_1139`
10×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
8×	`add-log-exp_binary64_1140` `unpow-prod-down_binary64_1180`
7×	`add-cbrt-cube_binary64_1137` `unswap-sqr_binary64_1069`
6×	`prod-exp_binary64_1150` `associate-l_binary64_1042`
4×	`cube-prod_binary64_1129` `sqr-pow_binary64_1073`
3×	`pow1_binary64_1162` `diff-log_binary64_1193`
2×	`pow-to-exp_binary64_1170` `pow-exp_binary64_1169` `cbrt-unprod_binary64_1134` `*-commutative_binary64_1032` `sub-neg_binary64_1094` `cancel-sign-sub-inv_binary64_1067` `associate--l+_binary64_1038`
1×	`unpow3_binary64_1167` `cube-mult_binary64_1131` `flip3--_binary64_1105` `flip--_binary64_1076` `associate--l-_binary64_1039`

Counts

3 → 72

Calls

3 calls:

8.0ms	(*.f64 2/5 (pow.f64 eps 5))
7.0ms	(*.f64 2/3 (pow.f64 eps 3))
7.0ms	(-.f64 (-.f64 (.f64 -2 eps) (.f64 2/3 (pow.f64 eps 3))) (*.f64 2/5 (pow.f64 eps 5)))

Compiler

Compiled 1616 to 1304 computations (19.3% saved)

series130.0ms (2.3%)

Error

Counts

3 → 11

Calls

3 calls:

49.0ms	(-.f64 (-.f64 (.f64 -2 eps) (.f64 2/3 (pow.f64 eps 3))) (*.f64 2/5 (pow.f64 eps 5)))
40.0ms	(*.f64 2/5 (pow.f64 eps 5))
34.0ms	(*.f64 2/3 (pow.f64 eps 3))

Compiler

Compiled 388 to 332 computations (14.4% saved)

simplify64.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5064	1080

prune86.0ms (1.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	83	2	85

Error

Counts

85 → 2

Compiler

Compiled 1606 to 1280 computations (20.3% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (/.f64 (+.f64 eps 1) (-.f64 1 eps)))
0.0b	(/.f64 (+.f64 eps 1) (-.f64 1 eps))
4.3b	(log.f64 (/.f64 1 (/.f64 (+.f64 eps 1) (-.f64 1 eps))))

rewrite587.0ms (10.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

372×	`times-frac_binary64_1107`
351×	`*-un-lft-identity_binary64_1101`
253×	`add-sqr-sqrt_binary64_1123`
154×	`add-cube-cbrt_binary64_1136`
95×	`log-prod_binary64_1187`
66×	`difference-of-squares_binary64_1070`
49×	`distribute-lft-out_binary64_1052`
36×	`associate-/r*_binary64_1045`
33×	`distribute-lft-out--_binary64_1053`
28×	`add-exp-log_binary64_1139`
18×	`associate-/r/_binary64_1047`
15×	`div-exp_binary64_1152`
10×	`div-inv_binary64_1098` `add-cbrt-cube_binary64_1137`
8×	`flip3--_binary64_1105` `flip--_binary64_1076`
7×	`rem-log-exp_binary64_1142` `associate-/l*_binary64_1046`
6×	`pow1_binary64_1162`
4×	`1-exp_binary64_1145` `rec-exp_binary64_1151` `cbrt-undiv_binary64_1135`
3×	`log-pow_binary64_1190` `add-log-exp_binary64_1140`
2×	`inv-pow_binary64_1186` `pow-flip_binary64_1175` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l/_binary64_1048`
1×	`log-rec_binary64_1189` `log-div_binary64_1188` `flip3-+_binary64_1104` `flip-+_binary64_1075`

Counts

3 → 308

Calls

3 calls:

15.0ms	(log.f64 (/.f64 1 (/.f64 (+.f64 eps 1) (-.f64 1 eps))))
13.0ms	(/.f64 1 (/.f64 (+.f64 eps 1) (-.f64 1 eps)))
9.0ms	(/.f64 (+.f64 eps 1) (-.f64 1 eps))

Compiler

Compiled 6921 to 5711 computations (17.5% saved)

series102.0ms (1.8%)

Error

Counts

3 → 22

Calls

3 calls:

41.0ms	(log.f64 (/.f64 1 (/.f64 (+.f64 eps 1) (-.f64 1 eps))))
24.0ms	(/.f64 1 (/.f64 (+.f64 eps 1) (-.f64 1 eps)))
24.0ms	(/.f64 (+.f64 eps 1) (-.f64 1 eps))

Compiler

Compiled 464 to 431 computations (7.1% saved)

simplify119.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

330 → 330

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4946	7262
1	4946	7262

prune394.0ms (7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	330	0	330
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	330	2	332

Error

Counts

332 → 2

Compiler

Compiled 5803 to 4616 computations (20.5% saved)

regimes186.0ms (3.3%)

Accuracy

Total 0.2b remaining (97.1%)

Threshold costs 0.2b (97.1%)

Compiler

Compiled 2041 to 1733 computations (15.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	107	24
1	107	24

end0.0ms (0%)

sample3.0s (52.5%)

Algorithm

1×

intervals

Results

1.3s	3989×	body	1024	valid
371.0ms	2014×	body	512	valid
196.0ms	398×	body	2048	valid
105.0ms	1019×	body	256	valid
27.0ms	580×	body	128	valid

Compiler

Compiled 656 to 559 computations (14.8% saved)

Details

analyze254.0ms (4.5%)

sample74.0ms (1.3%)

simplify164.0ms (2.9%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite134.0ms (2.4%)

series75.0ms (1.3%)

simplify78.0ms (1.4%)

prune94.0ms (1.7%)

localize10.0ms (0.2%)

rewrite118.0ms (2.1%)

series130.0ms (2.3%)

simplify64.0ms (1.1%)

prune86.0ms (1.5%)

localize6.0ms (0.1%)

rewrite587.0ms (10.4%)

series102.0ms (1.8%)

simplify119.0ms (2.1%)

prune394.0ms (7%)

regimes186.0ms (3.3%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample3.0s (52.5%)

Profiling