Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 26 to 22 computations (15.4% saved)

sample29.0ms (0.5%)

Algorithm

1×

intervals

Results

10.0ms	256×	pre	128	true
7.0ms	256×	body	128	valid

Compiler

Compiled 35 to 35 computations (0% saved)

simplify97.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	136	13
1	136	13

prune7.0ms (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

3.5b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.4b	(+.f64 b (+.f64 c d))
2.6b	(+.f64 a (+.f64 b (+.f64 c d)))

rewrite42.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

1.0b

Rules

16×	`add-log-exp_binary64_2504` `*-un-lft-identity_binary64_2465`
9×	`sum-log_binary64_2556` `distribute-lft-out_binary64_2416`
2×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `flip3-+_binary64_2468` `flip-+_binary64_2439` `associate-+r+_binary64_2397` `+-commutative_binary64_2395`

Counts

2 → 32

Calls

2 calls:

8.0ms	(+.f64 a (+.f64 b (+.f64 c d)))
6.0ms	(+.f64 b (+.f64 c d))

Compiler

Compiled 493 to 177 computations (64.1% saved)

series172.0ms (3.1%)

Error

2.6b

Counts

2 → 42

Calls

2 calls:

89.0ms	(+.f64 a (+.f64 b (+.f64 c d)))
64.0ms	(+.f64 b (+.f64 c d))

Compiler

Compiled 773 to 626 computations (19% saved)

simplify57.0ms (1%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4960	645
1	4960	645

prune54.0ms (1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	67	7	74
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	7	75

Error

1.9b

Counts

75 → 7

Compiler

Compiled 877 to 345 computations (60.7% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

2.6b	(+.f64 d (+.f64 (+.f64 b c) a))

rewrite26.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

10×	`add-log-exp_binary64_2504` `*-un-lft-identity_binary64_2465`
6×	`sum-log_binary64_2556` `distribute-lft-out_binary64_2416`
1×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `flip3-+_binary64_2468` `flip-+_binary64_2439` `associate-+r+_binary64_2397` `+-commutative_binary64_2395`

Counts

1 → 17

Calls

1 calls:

8.0ms

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

Compiler

Compiled 269 to 95 computations (64.7% saved)

series102.0ms (1.8%)

Error

1.9b

Counts

1 → 24

Calls

1 calls:

91.0ms

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

Compiler

Compiled 428 to 356 computations (16.8% saved)

simplify51.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5023	401

prune29.0ms (0.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	39	9	48

Error

1.6b

Counts

48 → 9

Compiler

Compiled 585 to 242 computations (58.6% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.6b	(cbrt.f64 (pow.f64 (+.f64 d (+.f64 (+.f64 b c) a)) 3))
2.6b	(+.f64 d (+.f64 (+.f64 b c) a))

rewrite73.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

32×	`*-un-lft-identity_binary64_2465`
18×	`distribute-lft-out_binary64_2416` `cbrt-prod_binary64_2496`
11×	`add-log-exp_binary64_2504`
6×	`sum-log_binary64_2556` `unpow-prod-down_binary64_2544` `cube-prod_binary64_2493`
5×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487`
2×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `flip3-+_binary64_2468` `flip-+_binary64_2439` `cube-div_binary64_2494` `cbrt-div_binary64_2497`
1×	`associate-+r+_binary64_2397` `+-commutative_binary64_2395` `pow1/3_binary64_2547` `unpow3_binary64_2531` `cube-mult_binary64_2495` `sqr-pow_binary64_2437` `rem-cbrt-cube_binary64_2489`

Counts

2 → 46

Calls

2 calls:

11.0ms	(cbrt.f64 (pow.f64 (+.f64 d (+.f64 (+.f64 b c) a)) 3))
9.0ms	(+.f64 d (+.f64 (+.f64 b c) a))

Compiler

Compiled 980 to 416 computations (57.6% saved)

series216.0ms (3.9%)

Error

1.6b

Counts

2 → 48

Calls

2 calls:

96.0ms	(cbrt.f64 (pow.f64 (+.f64 d (+.f64 (+.f64 b c) a)) 3))
95.0ms	(+.f64 d (+.f64 (+.f64 b c) a))

Compiler

Compiled 1036 to 880 computations (15.1% saved)

simplify30.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	5014	1085

prune79.0ms (1.4%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	87	7	94
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	89	14	103

Error

1.5b

Counts

103 → 14

Compiler

Compiled 1477 to 653 computations (55.8% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 a (+.f64 b c)) d) 3)) 3))
0.6b	(cbrt.f64 (pow.f64 (+.f64 (+.f64 a (+.f64 b c)) d) 3))
2.6b	(+.f64 (+.f64 a (+.f64 b c)) d)

rewrite187.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

102×	`cbrt-prod_binary64_2496`
78×	`*-un-lft-identity_binary64_2465`
42×	`distribute-lft-out_binary64_2416`
39×	`unpow-prod-down_binary64_2544` `cube-prod_binary64_2493`
15×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487`
12×	`add-log-exp_binary64_2504`
6×	`sum-log_binary64_2556` `cube-div_binary64_2494` `cbrt-div_binary64_2497`
4×	`unpow3_binary64_2531` `cube-mult_binary64_2495` `sqr-pow_binary64_2437`
3×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `flip3-+_binary64_2468` `flip-+_binary64_2439`
2×	`pow1/3_binary64_2547` `rem-cbrt-cube_binary64_2489`
1×	`associate-+l+_binary64_2398` `+-commutative_binary64_2395`

Counts

3 → 105

Calls

3 calls:

18.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 a (+.f64 b c)) d) 3)) 3))
10.0ms	(cbrt.f64 (pow.f64 (+.f64 (+.f64 a (+.f64 b c)) d) 3))
9.0ms	(+.f64 (+.f64 a (+.f64 b c)) d)

Compiler

Compiled 2846 to 1467 computations (48.5% saved)

series353.0ms (6.4%)

Error

1.5b

Counts

3 → 72

Calls

3 calls:

112.0ms	(+.f64 (+.f64 a (+.f64 b c)) d)
107.0ms	(cbrt.f64 (pow.f64 (+.f64 (+.f64 a (+.f64 b c)) d) 3))
91.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 a (+.f64 b c)) d) 3)) 3))

Compiler

Compiled 1824 to 1584 computations (13.2% saved)

simplify86.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4970	2448
1	4970	2448

prune134.0ms (2.4%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	172	5	177
Fresh	1	11	12
Picked	1	0	1
Done	0	1	1
Total	174	17	191

Error

1.5b

Counts

191 → 17

Compiler

Compiled 2640 to 1112 computations (57.9% saved)

regimes1.2s (21.2%)

Accuracy

Total 0.8b remaining (55%)

Threshold costs 0.8b (55%)

Compiler

Compiled 14673 to 9897 computations (32.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	21
1	18	21

end0.0ms (0%)

sample2.5s (45.3%)

Algorithm

1×

intervals

Results

318.0ms	8000×	pre	128	true
232.0ms	8000×	body	128	valid

Compiler

Compiled 1837 to 1249 computations (32% saved)

Details

analyze3.0ms (0.1%)

sample29.0ms (0.5%)

simplify97.0ms (1.7%)

prune7.0ms (0.1%)

localize7.0ms (0.1%)

rewrite42.0ms (0.8%)

series172.0ms (3.1%)

simplify57.0ms (1%)

prune54.0ms (1%)

localize6.0ms (0.1%)

rewrite26.0ms (0.5%)

series102.0ms (1.8%)

simplify51.0ms (0.9%)

prune29.0ms (0.5%)

localize9.0ms (0.2%)

rewrite73.0ms (1.3%)

series216.0ms (3.9%)

simplify30.0ms (0.5%)

prune79.0ms (1.4%)

localize11.0ms (0.2%)

rewrite187.0ms (3.4%)

series353.0ms (6.4%)

simplify86.0ms (1.6%)

prune134.0ms (2.4%)

regimes1.2s (21.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.5s (45.3%)

Profiling