Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 24 to 20 computations (16.7% saved)

sample25.0ms (0.6%)

Algorithm

1×

intervals

Results

10.0ms	256×	pre	128	true
6.0ms	256×	body	128	valid

Compiler

Compiled 31 to 31 computations (0% saved)

simplify101.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	43	10
1	43	10

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

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 a (+.f64 (+.f64 b c) d))
0.0b	(*.f64 a (+.f64 (+.f64 b c) d))

rewrite11.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64_1403`
5×	`associate-r_binary64_1343` `add-sqr-sqrt_binary64_1425`
3×	`associate-l_binary64_1344` `pow1_binary64_1464` `add-exp-log_binary64_1441` `add-cube-cbrt_binary64_1438` `add-cbrt-cube_binary64_1439` `distribute-lft-out_binary64_1354`
2×	`associate-*r/_binary64_1345`
1×	`unswap-sqr_binary64_1371` `flip3-+_binary64_1406` `prod-exp_binary64_1452` `distribute-rgt-in_binary64_1353` `distribute-lft-in_binary64_1352` `flip-+_binary64_1377` `add-log-exp_binary64_1442` `pow-prod-down_binary64_1474` `*-commutative_binary64_1334` `cbrt-unprod_binary64_1436`

Counts

1 → 24

Calls

2 calls:

10.0ms	(*.f64 a (+.f64 (+.f64 b c) d))
0.0ms	(*.f64 a (+.f64 (+.f64 b c) d))

series135.0ms (3.3%)

Counts

1 → 21

Calls

1 calls:

135.0ms

(*.f64 a (+.f64 (+.f64 b c) d))

Compiler

Compiled 273 to 252 computations (7.7% saved)

simplify76.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5029	456

prune43.0ms (1.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	40	5	45
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	5	46

Error

Counts

46 → 5

Compiler

Compiled 482 to 119 computations (75.3% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 a (+.f64 b c))
0.0b	(+.f64 (.f64 a (+.f64 b c)) (.f64 a d))
0.0b	(+.f64 (.f64 a (+.f64 b c)) (.f64 a d))
0.0b	(*.f64 a (+.f64 b c))

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64_1403` `add-sqr-sqrt_binary64_1425`
4×	`pow1_binary64_1464` `add-exp-log_binary64_1441` `add-cube-cbrt_binary64_1438` `associate-r_binary64_1343` `add-cbrt-cube_binary64_1439` `add-log-exp_binary64_1442`
3×	`associate-l_binary64_1344`
2×	`flip3-+_binary64_1406` `associate-+l+_binary64_1336` `distribute-rgt-in_binary64_1353` `distribute-lft-in_binary64_1352` `associate-*r/_binary64_1345` `flip-+_binary64_1377` `distribute-lft-out_binary64_1354`
1×	`unswap-sqr_binary64_1371` `prod-exp_binary64_1452` `+-commutative_binary64_1333` `sum-log_binary64_1494` `pow-prod-down_binary64_1474` `*-commutative_binary64_1334` `cbrt-unprod_binary64_1436`

Counts

2 → 37

Calls

4 calls:

6.0ms	(+.f64 (.f64 a (+.f64 b c)) (.f64 a d))
6.0ms	(*.f64 a (+.f64 b c))
0.0ms	(+.f64 (.f64 a (+.f64 b c)) (.f64 a d))
0.0ms	(*.f64 a (+.f64 b c))

series261.0ms (6.4%)

Counts

2 → 36

Calls

2 calls:

176.0ms	(+.f64 (.f64 a (+.f64 b c)) (.f64 a d))
85.0ms	(*.f64 a (+.f64 b c))

Compiler

Compiled 507 to 453 computations (10.7% saved)

simplify56.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4951	681
1	4951	681

prune46.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	73	5	78

Error

Counts

78 → 5

Compiler

Compiled 801 to 173 computations (78.4% saved)

localize7.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.3b	(.f64 (.f64 a (sqrt.f64 (+.f64 (+.f64 b c) d))) (sqrt.f64 (+.f64 (+.f64 b c) d)))
0.2b	(*.f64 a (sqrt.f64 (+.f64 (+.f64 b c) d)))
0.0b	(sqrt.f64 (+.f64 (+.f64 b c) d))
0.0b	(sqrt.f64 (+.f64 (+.f64 b c) d))
0.0b	(sqrt.f64 (+.f64 (+.f64 b c) d))
0.0b	(sqrt.f64 (+.f64 (+.f64 b c) d))
0.2b	(*.f64 a (sqrt.f64 (+.f64 (+.f64 b c) d)))
0.3b	(.f64 (.f64 a (sqrt.f64 (+.f64 (+.f64 b c) d))) (sqrt.f64 (+.f64 (+.f64 b c) d)))

rewrite50.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`*-un-lft-identity_binary64_1403`
21×	`sqrt-prod_binary64_1419`
18×	`sqrt-div_binary64_1420`
17×	`add-sqr-sqrt_binary64_1425`
16×	`associate-r_binary64_1343`
13×	`pow1_binary64_1464`
12×	`distribute-lft-out_binary64_1354`
11×	`add-exp-log_binary64_1441` `add-cube-cbrt_binary64_1438` `add-cbrt-cube_binary64_1439`
10×	`associate-*r/_binary64_1345`
9×	`flip3-+_binary64_1406` `flip-+_binary64_1377`
4×	`prod-exp_binary64_1452` `associate-l_binary64_1344` `frac-times_binary64_1413` `add-log-exp_binary64_1442` `pow-prod-down_binary64_1474` `cbrt-unprod_binary64_1436`
2×	`unswap-sqr_binary64_1371` `pow1/2_binary64_1483` `sqrt-pow1_binary64_1421` `-commutative_binary64_1334` `rem-sqrt-square_binary64_1416` `associate-l/_binary64_1346`

Counts

4 → 91

Calls

8 calls:

18.0ms	(.f64 (.f64 a (sqrt.f64 (+.f64 (+.f64 b c) d))) (sqrt.f64 (+.f64 (+.f64 b c) d)))
10.0ms	(*.f64 a (sqrt.f64 (+.f64 (+.f64 b c) d)))
6.0ms	(sqrt.f64 (+.f64 (+.f64 b c) d))
6.0ms	(sqrt.f64 (+.f64 (+.f64 b c) d))
0.0ms	(sqrt.f64 (+.f64 (+.f64 b c) d))

series491.0ms (12.1%)

Counts

4 → 78

Calls

4 calls:

169.0ms	(*.f64 a (sqrt.f64 (+.f64 (+.f64 b c) d)))
141.0ms	(.f64 (.f64 a (sqrt.f64 (+.f64 (+.f64 b c) d))) (sqrt.f64 (+.f64 (+.f64 b c) d)))
91.0ms	(sqrt.f64 (+.f64 (+.f64 b c) d))
91.0ms	(sqrt.f64 (+.f64 (+.f64 b c) d))

Compiler

Compiled 2289 to 1760 computations (23.1% saved)

simplify54.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5115	3071

prune121.0ms (3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	169	0	169
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	169	5	174

Error

Counts

174 → 5

Compiler

Compiled 3424 to 832 computations (75.7% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (sqrt.f64 a) (.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a)))
0.4b	(*.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a))
0.4b	(*.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a))
0.4b	(.f64 (sqrt.f64 a) (.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a)))

rewrite30.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64_1403`
11×	`associate-l_binary64_1344` `add-sqr-sqrt_binary64_1425`
9×	`pow1_binary64_1464` `add-exp-log_binary64_1441` `add-cbrt-cube_binary64_1439`
7×	`add-cube-cbrt_binary64_1438` `sqrt-prod_binary64_1419` `associate-r_binary64_1343`
4×	`prod-exp_binary64_1452` `pow-prod-down_binary64_1474` `associate-*l/_binary64_1346` `cbrt-unprod_binary64_1436`
3×	`distribute-lft-out_binary64_1354`
2×	`unswap-sqr_binary64_1371` `flip3-+_binary64_1406` `associate-r/_binary64_1345` `flip-+_binary64_1377` `add-log-exp_binary64_1442` `-commutative_binary64_1334`

Counts

2 → 49

Calls

4 calls:

13.0ms	(.f64 (sqrt.f64 a) (.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a)))
11.0ms	(*.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a))
0.0ms	(*.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a))
0.0ms	(.f64 (sqrt.f64 a) (.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a)))

series315.0ms (7.8%)

Counts

2 → 42

Calls

2 calls:

178.0ms	(*.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a))
136.0ms	(.f64 (sqrt.f64 a) (.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a)))

Compiler

Compiled 860 to 676 computations (21.4% saved)

simplify67.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4947	1088
1	4947	1088

prune47.0ms (1.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	91	5	96

Error

Counts

96 → 5

Compiler

Compiled 1081 to 174 computations (83.9% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	132	376
1	132	376

regimes180.0ms (4.4%)

Accuracy

Total 0.0b remaining (96.6%)

Threshold costs 0.0b (96.6%)

Compiler

Compiled 1284 to 1097 computations (14.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms (0%)

sample1.9s (46.6%)

Algorithm

1×

intervals

Results

324.0ms	8000×	pre	128	true
205.0ms	8000×	body	128	valid

Compiler

Compiled 795 to 665 computations (16.4% saved)

Pareto

0.6140929949081864

Details

analyze3.0ms (0.1%)

sample25.0ms (0.6%)

simplify101.0ms (2.5%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite11.0ms (0.3%)

series135.0ms (3.3%)

simplify76.0ms (1.9%)

prune43.0ms (1.1%)

localize7.0ms (0.2%)

rewrite15.0ms (0.4%)

series261.0ms (6.4%)

simplify56.0ms (1.4%)

prune46.0ms (1.1%)

localize7.0ms (0.2%)

rewrite50.0ms (1.2%)

series491.0ms (12.1%)

simplify54.0ms (1.3%)

prune121.0ms (3%)

localize7.0ms (0.2%)

rewrite30.0ms (0.7%)

series315.0ms (7.8%)

simplify67.0ms (1.7%)

prune47.0ms (1.1%)

simplify8.0ms (0.2%)

regimes180.0ms (4.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.9s (46.6%)

Profiling