Details

analyze113.0ms (2%)

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)

sample51.0ms (0.9%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
11.0ms	256×	pre	128	true

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

3.5b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.5b	(+.f64 b (+.f64 c d))
2.6b	(+.f64 a (+.f64 b (+.f64 c d)))

rewrite45.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.9b

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)

series202.0ms (3.6%)

Error

2.6b

Counts

2 → 42

Calls

2 calls:

114.0ms	(+.f64 a (+.f64 b (+.f64 c d)))
66.0ms	(+.f64 b (+.f64 c d))

Compiler

Compiled 773 to 626 computations (19% saved)

simplify63.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4960	645
1	4960	645

prune55.0ms (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 869 to 345 computations (60.3% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite29.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

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:

12.0ms

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

Compiler

Compiled 269 to 95 computations (64.7% saved)

series139.0ms (2.5%)

Error

1.9b

Counts

1 → 24

Calls

1 calls:

121.0ms

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

Compiler

Compiled 428 to 356 computations (16.8% saved)

simplify56.0ms (1%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5023	401

prune29.0ms (0.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	40	8	48

Error

1.6b

Counts

48 → 8

Compiler

Compiled 566 to 231 computations (59.2% saved)

localize14.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.7b	(log.f64 (exp.f64 (+.f64 d (+.f64 (+.f64 b c) a))))
2.6b	(+.f64 d (+.f64 (+.f64 b c) a))

rewrite56.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

22×	`*-un-lft-identity_binary64_2465`
12×	`distribute-lft-out_binary64_2416`
11×	`add-log-exp_binary64_2504`
7×	`log-pow_binary64_2554`
6×	`sum-log_binary64_2556` `exp-prod_binary64_2517`
4×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `log-prod_binary64_2551`
3×	`pow1_binary64_2526`
2×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
1×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `associate-+r+_binary64_2397` `+-commutative_binary64_2395` `exp-sum_binary64_2511` `rem-log-exp_binary64_2506`

Counts

2 → 36

Calls

2 calls:

10.0ms	(+.f64 d (+.f64 (+.f64 b c) a))
10.0ms	(log.f64 (exp.f64 (+.f64 d (+.f64 (+.f64 b c) a))))

Compiler

Compiled 652 to 219 computations (66.4% saved)

series725.0ms (13%)

Error

1.0b

Counts

2 → 40

Calls

2 calls:

572.0ms	(log.f64 (exp.f64 (+.f64 d (+.f64 (+.f64 b c) a))))
124.0ms	(+.f64 d (+.f64 (+.f64 b c) a))

Compiler

Compiled 1016 to 786 computations (22.6% saved)

simplify74.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5164	788

prune82.0ms (1.5%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	70	6	76
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	71	13	84

Error

1.5b

Counts

84 → 13

Compiler

Compiled 1212 to 460 computations (62% 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))

rewrite81.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

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:

12.0ms	(cbrt.f64 (pow.f64 (+.f64 d (+.f64 (+.f64 b c) a)) 3))
11.0ms	(+.f64 d (+.f64 (+.f64 b c) a))

Compiler

Compiled 980 to 416 computations (57.6% saved)

series262.0ms (4.7%)

Error

1.5b

Counts

2 → 48

Calls

2 calls:

120.0ms	(+.f64 d (+.f64 (+.f64 b c) a))
117.0ms	(cbrt.f64 (pow.f64 (+.f64 d (+.f64 (+.f64 b c) a)) 3))

Compiler

Compiled 1036 to 880 computations (15.1% saved)

simplify38.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5014	1085

prune79.0ms (1.4%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	90	4	94
Fresh	0	11	11
Picked	1	0	1
Done	0	1	1
Total	91	16	107

Error

1.4b

Counts

107 → 16

Compiler

Compiled 1165 to 455 computations (60.9% saved)

regimes989.0ms (17.8%)

Accuracy

Total 1.0b remaining (72.8%)

Threshold costs 0b (0%)

Compiler

Compiled 10625 to 7009 computations (34% saved)

bsearch0.0ms (0%)

simplify14.0ms (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 (42%)

Algorithm

1×

intervals

Results

383.0ms	8000×	pre	128	true
280.0ms	8000×	body	128	valid

Compiler

Compiled 1331 to 888 computations (33.3% saved)

Details

analyze113.0ms (2%)

sample51.0ms (0.9%)

simplify9.0ms (0.2%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite45.0ms (0.8%)

series202.0ms (3.6%)

simplify63.0ms (1.1%)

prune55.0ms (1%)

localize6.0ms (0.1%)

rewrite29.0ms (0.5%)

series139.0ms (2.5%)

simplify56.0ms (1%)

prune29.0ms (0.5%)

localize14.0ms (0.3%)

rewrite56.0ms (1%)

series725.0ms (13%)

simplify74.0ms (1.3%)

prune82.0ms (1.5%)

localize9.0ms (0.2%)

rewrite81.0ms (1.5%)

series262.0ms (4.7%)

simplify38.0ms (0.7%)

prune79.0ms (1.4%)

regimes989.0ms (17.8%)

bsearch0.0ms (0%)

simplify14.0ms (0.3%)

end0.0ms (0%)

sample2.3s (42%)

Profiling