Details

analyze249.0ms (12%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1030	26
1	1030	26
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
50%	50%	0.1%	6
56.2%	37.5%	6.3%	7
68.7%	25%	6.3%	8
71.8%	18.7%	9.5%	9
78%	12.5%	9.5%	10
79.6%	9.4%	11%	11
82.7%	6.2%	11%	12
83.6%	4.6%	11.8%	13
85.1%	3.1%	11.8%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample29.0ms (1.4%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify44.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	564	13
1	564	13

prune4.0ms (0.2%)

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

Counts

2 → 2

Compiler

Compiled 29 to 26 computations (10.3% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (-.f64 (*.f64 y (+.f64 x -1/2)) x) 8277062471433911/9007199254740992)
0.0b	(-.f64 (*.f64 y (+.f64 x -1/2)) x)

rewrite56.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-log-exp_binary64_1140`
6×	`*-un-lft-identity_binary64_1101` `cancel-sign-sub-inv_binary64_1067` `associate-+l+_binary64_1034`
4×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `associate--l+_binary64_1038`
2×	`diff-log_binary64_1193` `pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `sub-neg_binary64_1094` `distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050` `sum-log_binary64_1192`
1×	`flip3--_binary64_1105` `flip--_binary64_1076` `flip3-+_binary64_1104` `flip-+_binary64_1075` `distribute-lft-out_binary64_1052` `associate-+l-_binary64_1036` `+-commutative_binary64_1031`

Counts

2 → 36

Calls

2 calls:

10.0ms	(+.f64 (-.f64 (*.f64 y (+.f64 x -1/2)) x) 8277062471433911/9007199254740992)
7.0ms	(-.f64 (*.f64 y (+.f64 x -1/2)) x)

Compiler

Compiled 594 to 400 computations (32.7% saved)

series251.0ms (12.1%)

Error

Counts

2 → 24

Calls

2 calls:

124.0ms	(-.f64 (*.f64 y (+.f64 x -1/2)) x)
111.0ms	(+.f64 (-.f64 (*.f64 y (+.f64 x -1/2)) x) 8277062471433911/9007199254740992)

Compiler

Compiled 544 to 423 computations (22.2% saved)

simplify92.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4951	710
1	4951	710

prune53.0ms (2.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	60	2	62

Error

Counts

62 → 2

Compiler

Compiled 692 to 464 computations (32.9% saved)

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 8277062471433911/9007199254740992)
0.0b	(*.f64 x (-.f64 y 1))

rewrite85.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`add-sqr-sqrt_binary64_1123`
13×	`*-un-lft-identity_binary64_1101` `cancel-sign-sub-inv_binary64_1067`
10×	`associate-+l+_binary64_1034`
8×	`add-cube-cbrt_binary64_1136` `distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050` `associate--l+_binary64_1038`
7×	`add-log-exp_binary64_1140` `associate-r_binary64_1041`
5×	`sub-neg_binary64_1094`
4×	`pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
3×	`associate-l_binary64_1042`
2×	`associate-*r/_binary64_1043` `difference-of-squares_binary64_1070` `sum-log_binary64_1192`
1×	`pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `unswap-sqr_binary64_1069` `flip3--_binary64_1105` `flip--_binary64_1076` `difference-of-sqr-1_binary64_1071` `distribute-lft-out--_binary64_1053` `*-commutative_binary64_1032` `diff-log_binary64_1193` `flip3-+_binary64_1104` `flip-+_binary64_1075` `distribute-lft-out_binary64_1052` `associate-+l-_binary64_1036` `+-commutative_binary64_1031`

Counts

2 → 56

Calls

2 calls:

15.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 8277062471433911/9007199254740992)
14.0ms	(*.f64 x (-.f64 y 1))

Compiler

Compiled 1015 to 748 computations (26.3% saved)

series207.0ms (10%)

Error

Counts

2 → 21

Calls

2 calls:

126.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 8277062471433911/9007199254740992)
69.0ms	(*.f64 x (-.f64 y 1))

Compiler

Compiled 514 to 399 computations (22.4% saved)

simplify87.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5040	798

prune59.0ms (2.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	77	2	79

Error

Counts

79 → 2

Compiler

Compiled 990 to 669 computations (32.4% saved)

regimes108.0ms (5.2%)

Accuracy

Total 0.0b remaining (89.1%)

Threshold costs 0.0b (89.1%)

Compiler

Compiled 424 to 428 computations (-0.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	13
1	22	13

end0.0ms (0%)

sample729.0ms (35.2%)

Algorithm

1×

intervals

Results

272.0ms	7998×	body	128	valid
2.0ms	69×	body	128	invalid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 116 to 117 computations (-0.9% saved)

Details

analyze249.0ms (12%)

sample29.0ms (1.4%)

simplify44.0ms (2.1%)

prune4.0ms (0.2%)

localize6.0ms (0.3%)

rewrite56.0ms (2.7%)

series251.0ms (12.1%)

simplify92.0ms (4.5%)

prune53.0ms (2.5%)

localize8.0ms (0.4%)

rewrite85.0ms (4.1%)

series207.0ms (10%)

simplify87.0ms (4.2%)

prune59.0ms (2.8%)

regimes108.0ms (5.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample729.0ms (35.2%)

Profiling