Details

analyze103.0ms (7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	10
1	167	10
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
75%	12.5%	12.5%	5
75%	6.2%	18.8%	6
75%	3.1%	21.9%	7
75%	1.6%	23.5%	8
75%	0.8%	24.3%	9
75%	0.4%	24.6%	10
75%	0.2%	24.8%	11
75%	0.1%	24.9%	12
75%	0%	25%	13
75%	0%	25%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample11.0ms (0.8%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify16.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	167	10
1	167	10

prune3.0ms (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

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite32.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

5×	`add-sqr-sqrt_binary64_1123`
3×	`pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `add-cube-cbrt_binary64_1136` `-un-lft-identity_binary64_1101` `associate-l_binary64_1042` `associate-r*_binary64_1041`
2×	`sub-neg_binary64_1094` `distribute-rgt-in_binary64_1051` `cancel-sign-sub-inv_binary64_1067` `distribute-lft-in_binary64_1050` `associate-*r/_binary64_1043`
1×	`pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `add-log-exp_binary64_1140` `cbrt-unprod_binary64_1134` `unswap-sqr_binary64_1069` `flip3--_binary64_1105` `flip--_binary64_1076` `*-commutative_binary64_1032`

Counts

1 → 24

Calls

1 calls:

7.0ms

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

Compiler

Compiled 340 to 256 computations (24.7% saved)

series55.0ms (3.7%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

51.0ms

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

Compiler

Compiled 85 to 71 computations (16.5% saved)

simplify48.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5249	329

prune23.0ms (1.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	28	2	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	3	31

Error

Counts

31 → 3

Compiler

Compiled 339 to 215 computations (36.6% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite12.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

3×	`add-log-exp_binary64_1140`
1×	`diff-log_binary64_1193` `pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `flip3--_binary64_1105` `*-un-lft-identity_binary64_1101` `sub-neg_binary64_1094` `flip--_binary64_1076` `cancel-sign-sub-inv_binary64_1067`

Counts

1 → 12

Calls

1 calls:

3.0ms

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

Compiler

Compiled 187 to 99 computations (47.1% saved)

series51.0ms (3.5%)

Error

Counts

1 → 6

Calls

1 calls:

48.0ms

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

Compiler

Compiled 85 to 71 computations (16.5% saved)

simplify65.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4920	225
1	4920	225

prune11.0ms (0.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	18	0	18
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	18	3	21

Error

Counts

21 → 3

Compiler

Compiled 197 to 112 computations (43.1% saved)

localize8.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (pow.f64 x 3) -1/4)
0.0b	(+.f64 x (*.f64 (pow.f64 x 3) -1/4))
5.9b	(/.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/4)) (+.f64 1 (.f64 x 1/2)))

rewrite108.0ms (7.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

22×	`add-sqr-sqrt_binary64_1123`
15×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
12×	`associate-l_binary64_1042`
10×	`add-exp-log_binary64_1139`
9×	`times-frac_binary64_1107`
7×	`add-cbrt-cube_binary64_1137`
5×	`add-log-exp_binary64_1140`
4×	`unpow-prod-down_binary64_1180` `unswap-sqr_binary64_1069` `cube-prod_binary64_1129`
3×	`pow1_binary64_1162` `flip3-+_binary64_1104` `flip-+_binary64_1075` `associate-/l_binary64_1046` `associate-/r_binary64_1045` `prod-exp_binary64_1150` `associate-r_binary64_1041`
2×	`associate-/l/_binary64_1048` `associate-/r/_binary64_1047` `sqr-pow_binary64_1073`
1×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `sum-log_binary64_1192` `+-commutative_binary64_1031` `pow-to-exp_binary64_1170` `pow-exp_binary64_1169` `cbrt-unprod_binary64_1134` `unpow3_binary64_1167` `cube-mult_binary64_1131` `*-commutative_binary64_1032`

Counts

3 → 73

Calls

3 calls:

6.0ms	(/.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/4)) (+.f64 1 (.f64 x 1/2)))
6.0ms	(*.f64 (pow.f64 x 3) -1/4)
3.0ms	(+.f64 x (*.f64 (pow.f64 x 3) -1/4))

Compiler

Compiled 1664 to 1310 computations (21.3% saved)

series186.0ms (12.6%)

Error

Counts

3 → 15

Calls

3 calls:

85.0ms	(/.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/4)) (+.f64 1 (.f64 x 1/2)))
61.0ms	(+.f64 x (*.f64 (pow.f64 x 3) -1/4))
31.0ms	(*.f64 (pow.f64 x 3) -1/4)

Compiler

Compiled 377 to 312 computations (17.2% saved)

simplify57.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5828	1461

prune90.0ms (6.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	88	3	91

Error

Counts

91 → 3

Compiler

Compiled 1651 to 1288 computations (22% saved)

regimes53.0ms (3.6%)

Accuracy

Total 0.0b remaining (99.5%)

Threshold costs 0.0b (99.5%)

Compiler

Compiled 371 to 313 computations (15.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	10
1	34	10

end0.0ms (0%)

sample532.0ms (36%)

Algorithm

1×

intervals

Results

162.0ms

8000×

body

128

valid

Compiler

Compiled 170 to 145 computations (14.7% saved)

Details

analyze103.0ms (7%)

sample11.0ms (0.8%)

simplify16.0ms (1.1%)

prune3.0ms (0.2%)

localize4.0ms (0.3%)

rewrite32.0ms (2.2%)

series55.0ms (3.7%)

simplify48.0ms (3.2%)

prune23.0ms (1.6%)

localize4.0ms (0.3%)

rewrite12.0ms (0.8%)

series51.0ms (3.5%)

simplify65.0ms (4.4%)

prune11.0ms (0.8%)

localize8.0ms (0.5%)

rewrite108.0ms (7.3%)

series186.0ms (12.6%)

simplify57.0ms (3.8%)

prune90.0ms (6.1%)

regimes53.0ms (3.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample532.0ms (36%)

Profiling