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 (0.7%)

Algorithm

1×

intervals

Results

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

Compiler

Compiled 31 to 31 computations (0% saved)

simplify102.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	43	10
1	43	10

prune2.0ms (0.1%)

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 (0.2%)

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_2402`
5×	`add-sqr-sqrt_binary64_2424` `associate-r_binary64_2342`
3×	`pow1_binary64_2463` `associate-l_binary64_2343` `add-exp-log_binary64_2440` `add-cbrt-cube_binary64_2438` `add-cube-cbrt_binary64_2437` `distribute-lft-out_binary64_2353`
2×	`associate-*r/_binary64_2344`
1×	`flip3-+_binary64_2405` `pow-prod-down_binary64_2473` `*-commutative_binary64_2333` `distribute-rgt-in_binary64_2352` `unswap-sqr_binary64_2370` `distribute-lft-in_binary64_2351` `cbrt-unprod_binary64_2435` `flip-+_binary64_2376` `prod-exp_binary64_2451` `add-log-exp_binary64_2441`

Counts

1 → 24

Calls

2 calls:

9.0ms	(*.f64 a (+.f64 (+.f64 b c) d))
0.0ms	(*.f64 a (+.f64 (+.f64 b c) d))

series137.0ms (4.1%)

Counts

1 → 21

Calls

1 calls:

137.0ms

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

Compiler

Compiled 273 to 252 computations (7.7% saved)

simplify77.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5029	456

prune42.0ms (1.3%)

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))

rewrite16.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64_2402` `add-sqr-sqrt_binary64_2424`
4×	`pow1_binary64_2463` `add-exp-log_binary64_2440` `add-cbrt-cube_binary64_2438` `add-cube-cbrt_binary64_2437` `add-log-exp_binary64_2441` `associate-r_binary64_2342`
3×	`associate-l_binary64_2343`
2×	`flip3-+_binary64_2405` `associate-+l+_binary64_2335` `distribute-rgt-in_binary64_2352` `distribute-lft-in_binary64_2351` `flip-+_binary64_2376` `associate-*r/_binary64_2344` `distribute-lft-out_binary64_2353`
1×	`+-commutative_binary64_2332` `pow-prod-down_binary64_2473` `*-commutative_binary64_2333` `unswap-sqr_binary64_2370` `cbrt-unprod_binary64_2435` `prod-exp_binary64_2451` `sum-log_binary64_2493`

Counts

2 → 37

Calls

4 calls:

7.0ms	(+.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))

series269.0ms (8.1%)

Counts

2 → 36

Calls

2 calls:

180.0ms	(+.f64 (.f64 a (+.f64 b c)) (.f64 a d))
88.0ms	(*.f64 a (+.f64 b c))

Compiler

Compiled 507 to 453 computations (10.7% saved)

simplify57.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4951	681
1	4951	681

prune46.0ms (1.4%)

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)

localize8.0ms (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)))

rewrite49.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`*-un-lft-identity_binary64_2402`
21×	`sqrt-prod_binary64_2418`
18×	`sqrt-div_binary64_2419`
17×	`add-sqr-sqrt_binary64_2424`
16×	`associate-r_binary64_2342`
13×	`pow1_binary64_2463`
12×	`distribute-lft-out_binary64_2353`
11×	`add-exp-log_binary64_2440` `add-cbrt-cube_binary64_2438` `add-cube-cbrt_binary64_2437`
10×	`associate-*r/_binary64_2344`
9×	`flip3-+_binary64_2405` `flip-+_binary64_2376`
4×	`pow-prod-down_binary64_2473` `cbrt-unprod_binary64_2435` `associate-l_binary64_2343` `prod-exp_binary64_2451` `frac-times_binary64_2412` `add-log-exp_binary64_2441`
2×	`sqrt-pow1_binary64_2420` `-commutative_binary64_2333` `unswap-sqr_binary64_2370` `pow1/2_binary64_2482` `rem-sqrt-square_binary64_2415` `associate-l/_binary64_2345`

Counts

4 → 91

Calls

8 calls:

17.0ms	(.f64 (.f64 a (sqrt.f64 (+.f64 (+.f64 b c) d))) (sqrt.f64 (+.f64 (+.f64 b c) d)))
12.0ms	(*.f64 a (sqrt.f64 (+.f64 (+.f64 b c) d)))
6.0ms	(sqrt.f64 (+.f64 (+.f64 b c) d))
5.0ms	(sqrt.f64 (+.f64 (+.f64 b c) d))
0.0ms	(sqrt.f64 (+.f64 (+.f64 b c) d))

series501.0ms (15.1%)

Counts

4 → 78

Calls

4 calls:

172.0ms	(*.f64 a (sqrt.f64 (+.f64 (+.f64 b c) d)))
144.0ms	(.f64 (.f64 a (sqrt.f64 (+.f64 (+.f64 b c) d))) (sqrt.f64 (+.f64 (+.f64 b c) d)))
93.0ms	(sqrt.f64 (+.f64 (+.f64 b c) d))
92.0ms	(sqrt.f64 (+.f64 (+.f64 b c) d))

Compiler

Compiled 2289 to 1760 computations (23.1% saved)

simplify60.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5115	3071

prune124.0ms (3.8%)

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)

localize8.0ms (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)))

rewrite29.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64_2402`
11×	`add-sqr-sqrt_binary64_2424` `associate-l_binary64_2343`
9×	`pow1_binary64_2463` `add-exp-log_binary64_2440` `add-cbrt-cube_binary64_2438`
7×	`sqrt-prod_binary64_2418` `add-cube-cbrt_binary64_2437` `associate-r_binary64_2342`
4×	`pow-prod-down_binary64_2473` `cbrt-unprod_binary64_2435` `prod-exp_binary64_2451` `associate-*l/_binary64_2345`
3×	`distribute-lft-out_binary64_2353`
2×	`flip3-+_binary64_2405` `-commutative_binary64_2333` `unswap-sqr_binary64_2370` `flip-+_binary64_2376` `associate-r/_binary64_2344` `add-log-exp_binary64_2441`

Counts

2 → 49

Calls

4 calls:

14.0ms	(.f64 (sqrt.f64 a) (.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a)))
10.0ms	(*.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)))

series324.0ms (9.8%)

Counts

2 → 42

Calls

2 calls:

185.0ms	(*.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a))
139.0ms	(.f64 (sqrt.f64 a) (.f64 (+.f64 (+.f64 b c) d) (sqrt.f64 a)))

Compiler

Compiled 860 to 676 computations (21.4% saved)

simplify73.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4947	1088
1	4947	1088

prune46.0ms (1.4%)

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)

regimes264.0ms (8%)

Accuracy

Total 0.0b remaining (96.6%)

Threshold costs 0.0b (96.6%)

Compiler

Compiled 2016 to 1594 computations (20.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms (0%)

sample1.0s (30.9%)

Algorithm

1×

intervals

Results

316.0ms	8000×	pre	128	true
200.0ms	8000×	body	128	valid

Compiler

Compiled 293 to 236 computations (19.5% saved)

Pareto

Details

analyze3.0ms (0.1%)

sample25.0ms (0.7%)

simplify102.0ms (3.1%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite11.0ms (0.3%)

series137.0ms (4.1%)

simplify77.0ms (2.3%)

prune42.0ms (1.3%)

localize7.0ms (0.2%)

rewrite16.0ms (0.5%)

series269.0ms (8.1%)

simplify57.0ms (1.7%)

prune46.0ms (1.4%)

localize8.0ms (0.2%)

rewrite49.0ms (1.5%)

series501.0ms (15.1%)

simplify60.0ms (1.8%)

prune124.0ms (3.8%)

localize8.0ms (0.2%)

rewrite29.0ms (0.9%)

series324.0ms (9.8%)

simplify73.0ms (2.2%)

prune46.0ms (1.4%)

regimes264.0ms (8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.0s (30.9%)

Profiling