Details

analyze1.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	25%	75%	0
25%	0%	75%	1

Compiler

Compiled 13 to 7 computations (46.2% saved)

sample13.0ms (0.8%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
4.0ms	256×	pre	128	true

Compiler

Compiled 22 to 12 computations (45.5% saved)

simplify239.0ms (15.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (147.0ms)

Iter	Nodes	Cost
0	4762	10
1	4762	10

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (*.f64 x x) (pow.f64 x 3))

rewrite7.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_1140`
2×	`cube-mult_binary64_1131`
1×	`distribute-rgt-out_binary64_1054` `add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `distribute-lft-out_binary64_1052` `sum-log_binary64_1192` `add-exp-log_binary64_1139` `pow1_binary64_1162` `flip3-+_binary64_1104` `add-cube-cbrt_binary64_1136` `unpow3_binary64_1167` `add-cbrt-cube_binary64_1137` `+-commutative_binary64_1031` `flip-+_binary64_1075` `distribute-rgt1-in_binary64_1057`

Counts

1 → 14

Calls

1 calls:

6.0ms

(+.f64 (*.f64 x x) (pow.f64 x 3))

series41.0ms (2.6%)

Counts

1 → 3

Calls

1 calls:

41.0ms

(+.f64 (*.f64 x x) (pow.f64 x 3))

simplify95.0ms (6%)

Algorithm

1×	egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4919	205
1	4919	205

prune17.0ms (1.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	14	3	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	15	3	18

Error

Counts

18 → 3

Compiler

Compiled 205 to 112 computations (45.4% saved)

localize7.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b	(.f64 (+.f64 x 1) (.f64 x x))

rewrite9.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-exp-log_binary64_1139` `pow1_binary64_1162` `add-cbrt-cube_binary64_1137`
4×	`-un-lft-identity_binary64_1101` `associate-l*_binary64_1042`
3×	`add-sqr-sqrt_binary64_1123` `cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `pow-prod-down_binary64_1172`
2×	`add-cube-cbrt_binary64_1136` `associate-*l/_binary64_1044`
1×	`-commutative_binary64_1032` `add-log-exp_binary64_1140` `distribute-lft-out_binary64_1052` `flip3-+_binary64_1104` `associate-r*_binary64_1041` `flip-+_binary64_1075` `unswap-sqr_binary64_1069`

Counts

1 → 22

Calls

1 calls:

8.0ms

(*.f64 (+.f64 x 1) (*.f64 x x))

series35.0ms (2.2%)

Counts

1 → 3

Calls

1 calls:

35.0ms

(*.f64 (+.f64 x 1) (*.f64 x x))

simplify77.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4961	288
1	4961	288

prune16.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	25	3	28

Error

Counts

28 → 3

Compiler

Compiled 289 to 166 computations (42.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(.f64 x (+.f64 x (.f64 x x)))

rewrite8.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_1123` `associate-r_binary64_1041`
4×	`*-un-lft-identity_binary64_1101`
3×	`add-exp-log_binary64_1139` `pow1_binary64_1162` `add-cube-cbrt_binary64_1136` `add-cbrt-cube_binary64_1137` `associate-l_binary64_1042`
2×	`associate-*r/_binary64_1043`
1×	`*-commutative_binary64_1032` `distribute-rgt-out_binary64_1054` `cbrt-unprod_binary64_1134` `add-log-exp_binary64_1140` `prod-exp_binary64_1150` `distribute-lft-in_binary64_1050` `flip3-+_binary64_1104` `pow-prod-down_binary64_1172` `flip-+_binary64_1075` `unswap-sqr_binary64_1069` `distribute-rgt-in_binary64_1051` `distribute-rgt1-in_binary64_1057`

Counts

1 → 24

Calls

1 calls:

6.0ms

(*.f64 x (+.f64 x (*.f64 x x)))

series48.0ms (3%)

Counts

1 → 3

Calls

1 calls:

47.0ms

(*.f64 x (+.f64 x (*.f64 x x)))

simplify94.0ms (5.9%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4925	307
1	4925	307

prune14.0ms (0.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	27	3	30

Error

Counts

30 → 3

Compiler

Compiled 317 to 82 computations (74.1% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (*.f64 x x) (pow.f64 x 3))
0.1b	(pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 3)
19.1b	(cbrt.f64 (pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 3))

rewrite25.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-prod_binary64_1132`
12×	`cube-prod_binary64_1129` `cube-mult_binary64_1131` `unpow-prod-down_binary64_1180`
9×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
7×	`unpow3_binary64_1167`
5×	`distribute-rgt-out_binary64_1054` `add-log-exp_binary64_1140` `distribute-lft-out_binary64_1052` `distribute-rgt1-in_binary64_1057`
4×	`add-exp-log_binary64_1139` `pow1_binary64_1162` `cube-div_binary64_1130` `add-cbrt-cube_binary64_1137`
3×	`flip3-+_binary64_1104` `pow-unpow_binary64_1178` `flip-+_binary64_1075`
2×	`sqr-pow_binary64_1073` `cbrt-div_binary64_1133`
1×	`pow-exp_binary64_1169` `rem-cube-cbrt_binary64_1124` `pow1/3_binary64_1183` `pow-pow_binary64_1173` `sum-log_binary64_1192` `+-commutative_binary64_1031` `pow-to-exp_binary64_1170` `rem-cbrt-cube_binary64_1125`

Counts

3 → 74

Calls

3 calls:

8.0ms	(cbrt.f64 (pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 3))
7.0ms	(pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 3)
6.0ms	(+.f64 (*.f64 x x) (pow.f64 x 3))

series116.0ms (7.3%)

Counts

3 → 9

Calls

3 calls:

49.0ms	(cbrt.f64 (pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 3))
48.0ms	(+.f64 (*.f64 x x) (pow.f64 x 3))
19.0ms	(pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 3)

simplify54.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4936	1232
1	4936	1232

prune61.0ms (3.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	83	3	86

Error

Counts

86 → 3

Compiler

Compiled 1137 to 685 computations (39.8% saved)

regimes33.0ms (2.1%)

Accuracy

Total 0.0b remaining (97.4%)

Threshold costs 0.0b (97.4%)

Compiler

Compiled 254 to 168 computations (33.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	10
1	7	10

end0.0ms (0%)

sample557.0ms (35.1%)

Algorithm

1×

intervals

Results

158.0ms	8000×	body	128	valid
117.0ms	8000×	pre	128	true

Compiler

Compiled 144 to 96 computations (33.3% saved)

Details

analyze1.0ms (0.1%)

sample13.0ms (0.8%)

simplify239.0ms (15.1%)

prune3.0ms (0.2%)

localize4.0ms (0.3%)

rewrite7.0ms (0.4%)

series41.0ms (2.6%)

simplify95.0ms (6%)

prune17.0ms (1.1%)

localize7.0ms (0.4%)

rewrite9.0ms (0.6%)

series35.0ms (2.2%)

simplify77.0ms (4.9%)

prune16.0ms (1%)

localize4.0ms (0.2%)

rewrite8.0ms (0.5%)

series48.0ms (3%)

simplify94.0ms (5.9%)

prune14.0ms (0.9%)

localize7.0ms (0.4%)

rewrite25.0ms (1.6%)

series116.0ms (7.3%)

simplify54.0ms (3.4%)

prune61.0ms (3.8%)

regimes33.0ms (2.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample557.0ms (35.1%)

Profiling