Details

analyze99.0ms (1.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	91
1	136	91
0	4	4
1	4	4

Search

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

Symmetry

(sort a b c d)

Compiler

Compiled 26 to 22 computations (15.4% saved)

sample47.0ms (0.9%)

Algorithm

1×

intervals

Results

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

Compiler

Compiled 35 to 35 computations (0% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	136	13
1	136	13

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

3.9b

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))
3.0b	(+.f64 a (+.f64 b (+.f64 c d)))

rewrite44.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

1.2b

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)))
5.0ms	(+.f64 b (+.f64 c d))

Compiler

Compiled 493 to 177 computations (64.1% saved)

series175.0ms (3.3%)

Error

3.0b

Counts

2 → 42

Calls

2 calls:

95.0ms	(+.f64 a (+.f64 b (+.f64 c d)))
59.0ms	(+.f64 b (+.f64 c d))

Compiler

Compiled 773 to 626 computations (19% saved)

simplify58.0ms (1.1%)

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

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	66	8	74
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	8	75

Error

2.4b

Counts

75 → 8

Compiler

Compiled 888 to 356 computations (59.9% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

3.0b	(+.f64 d (+.f64 (+.f64 b c) a))

rewrite27.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

1.1b

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:

10.0ms

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

Compiler

Compiled 269 to 95 computations (64.7% saved)

series101.0ms (1.9%)

Error

2.4b

Counts

1 → 24

Calls

1 calls:

91.0ms

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

Compiler

Compiled 428 to 356 computations (16.8% saved)

simplify52.0ms (1%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5023	401

prune31.0ms (0.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	40	9	49

Error

2.1b

Counts

49 → 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))
3.0b	(+.f64 d (+.f64 (+.f64 b c) a))

rewrite75.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

1.1b

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:

9.0ms	(cbrt.f64 (pow.f64 (+.f64 d (+.f64 (+.f64 b c) a)) 3))
8.0ms	(+.f64 d (+.f64 (+.f64 b c) a))

Compiler

Compiled 980 to 416 computations (57.6% saved)

series219.0ms (4.1%)

Error

2.1b

Counts

2 → 48

Calls

2 calls:

105.0ms	(+.f64 d (+.f64 (+.f64 b c) a))
90.0ms	(cbrt.f64 (pow.f64 (+.f64 d (+.f64 (+.f64 b c) a)) 3))

Compiler

Compiled 1036 to 880 computations (15.1% saved)

simplify31.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	5014	1085

prune76.0ms (1.4%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	88	6	94
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	89	14	103

Error

2.0b

Counts

103 → 14

Compiler

Compiled 1473 to 649 computations (55.9% 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))
3.0b	(+.f64 (+.f64 a (+.f64 b c)) d)

rewrite182.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

1.1b

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:

15.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 a (+.f64 b c)) d) 3)) 3))
11.0ms	(+.f64 (+.f64 a (+.f64 b c)) d)
10.0ms	(cbrt.f64 (pow.f64 (+.f64 (+.f64 a (+.f64 b c)) d) 3))

Compiler

Compiled 2846 to 1467 computations (48.5% saved)

series350.0ms (6.6%)

Error

2.0b

Counts

3 → 72

Calls

3 calls:

109.0ms	(+.f64 (+.f64 a (+.f64 b c)) d)
103.0ms	(cbrt.f64 (pow.f64 (+.f64 (+.f64 a (+.f64 b c)) d) 3))
94.0ms	(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)

simplify85.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4970	2448
1	4970	2448

prune129.0ms (2.4%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	171	6	177
Fresh	1	11	12
Picked	1	0	1
Done	0	1	1
Total	173	18	191

Error

2.0b

Counts

191 → 18

Compiler

Compiled 2640 to 1112 computations (57.9% saved)

regimes1.1s (20.8%)

Accuracy

Total 0.8b remaining (55.1%)

Threshold costs 0.8b (55.1%)

Compiler

Compiled 13478 to 9462 computations (29.8% saved)

bsearch0.0ms (0%)

simplify15.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	21
1	18	21

Remove

(sort a b c d)

Compiler

Compiled 26 to 26 computations (0% saved)

end0.0ms (0%)

sample2.3s (43.5%)

Algorithm

1×

intervals

Results

305.0ms	8000×	pre	128	true
230.0ms	8000×	body	128	valid

Compiler

Compiled 1698 to 1199 computations (29.4% saved)

Details

analyze99.0ms (1.9%)

sample47.0ms (0.9%)

simplify9.0ms (0.2%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite44.0ms (0.8%)

series175.0ms (3.3%)

simplify58.0ms (1.1%)

prune54.0ms (1%)

localize7.0ms (0.1%)

rewrite27.0ms (0.5%)

series101.0ms (1.9%)

simplify52.0ms (1%)

prune31.0ms (0.6%)

localize9.0ms (0.2%)

rewrite75.0ms (1.4%)

series219.0ms (4.1%)

simplify31.0ms (0.6%)

prune76.0ms (1.4%)

localize11.0ms (0.2%)

rewrite182.0ms (3.4%)

series350.0ms (6.6%)

simplify85.0ms (1.6%)

prune129.0ms (2.4%)

regimes1.1s (20.8%)

bsearch0.0ms (0%)

simplify15.0ms (0.3%)

end0.0ms (0%)

sample2.3s (43.5%)

Profiling