Details

analyze8.0ms (0.2%)

Algorithm

1×

Search

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

Compiler

Compiled 26 to 22 computations (15.4% saved)

sample27.0ms (0.7%)

Algorithm

1×

intervals

Results

10.0ms	256×	pre	128	true
8.0ms	256×	body	128	valid

Compiler

Compiled 35 to 35 computations (0% saved)

simplify95.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	136	13
1	136	13

prune3.0ms (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 (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite21.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-log-exp_binary64_2163` `*-un-lft-identity_binary64_2124`
9×	`sum-log_binary64_2215` `distribute-lft-out_binary64_2075`
2×	`pow1_binary64_2185` `associate-+r+_binary64_2056` `add-cube-cbrt_binary64_2159` `+-commutative_binary64_2054` `add-sqr-sqrt_binary64_2146` `flip3-+_binary64_2127` `flip-+_binary64_2098` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`

Counts

2 → 32

Calls

4 calls:

13.0ms	(+.f64 a (+.f64 b (+.f64 c d)))
6.0ms	(+.f64 b (+.f64 c d))
0.0ms	(+.f64 b (+.f64 c d))
0.0ms	(+.f64 a (+.f64 b (+.f64 c d)))

series154.0ms (4%)

Counts

2 → 42

Calls

2 calls:

91.0ms	(+.f64 a (+.f64 b (+.f64 c d)))
62.0ms	(+.f64 b (+.f64 c d))

Compiler

Compiled 481 to 524 computations (-8.9% saved)

simplify59.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4960	645
1	4960	645

prune65.0ms (1.7%)

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

2.2b

Counts

75 → 8

Compiler

Compiled 888 to 348 computations (60.8% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-log-exp_binary64_2163` `*-un-lft-identity_binary64_2124`
6×	`sum-log_binary64_2215` `distribute-lft-out_binary64_2075`
1×	`pow1_binary64_2185` `associate-+r+_binary64_2056` `add-cube-cbrt_binary64_2159` `+-commutative_binary64_2054` `add-sqr-sqrt_binary64_2146` `flip3-+_binary64_2127` `flip-+_binary64_2098` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`

Counts

1 → 17

Calls

2 calls:

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

series92.0ms (2.4%)

Counts

1 → 24

Calls

1 calls:

92.0ms

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

Compiler

Compiled 268 to 296 computations (-10.4% saved)

simplify54.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5085	401

prune36.0ms (0.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	36	5	41
Fresh	5	2	7
Picked	0	1	1
Done	0	0	0
Total	41	8	49

Error

1.9b

Counts

49 → 8

Compiler

Compiled 566 to 231 computations (59.2% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite21.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64_2124`
12×	`distribute-lft-out_binary64_2075`
11×	`add-log-exp_binary64_2163`
7×	`log-pow_binary64_2213`
6×	`sum-log_binary64_2215` `exp-prod_binary64_2176`
4×	`log-prod_binary64_2210` `add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146`
3×	`pow1_binary64_2185`
2×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
1×	`rem-log-exp_binary64_2165` `associate-+r+_binary64_2056` `+-commutative_binary64_2054` `flip3-+_binary64_2127` `flip-+_binary64_2098` `exp-sum_binary64_2170`

Counts

2 → 36

Calls

4 calls:

10.0ms	(log.f64 (exp.f64 (+.f64 a (+.f64 d (+.f64 b c)))))
8.0ms	(+.f64 a (+.f64 d (+.f64 b c)))
0.0ms	(log.f64 (exp.f64 (+.f64 a (+.f64 d (+.f64 b c)))))
0.0ms	(+.f64 a (+.f64 d (+.f64 b c)))

series522.0ms (13.6%)

Counts

2 → 40

Calls

2 calls:

425.0ms	(log.f64 (exp.f64 (+.f64 a (+.f64 d (+.f64 b c)))))
97.0ms	(+.f64 a (+.f64 d (+.f64 b c)))

Compiler

Compiled 640 to 672 computations (-5% saved)

simplify70.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4875	785
1	4875	785

prune60.0ms (1.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	74	2	76
Fresh	4	2	6
Picked	1	0	1
Done	0	1	1
Total	79	5	84

Error

0.5b

Counts

84 → 5

Compiler

Compiled 1000 to 333 computations (66.7% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite11.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64_2124`
8×	`log-pow_binary64_2213` `distribute-lft-out_binary64_2075`
7×	`exp-prod_binary64_2176`
4×	`log-prod_binary64_2210`
3×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146`
2×	`pow1_binary64_2185`
1×	`rem-log-exp_binary64_2165` `add-log-exp_binary64_2163` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `exp-sum_binary64_2170`

Counts

1 → 20

Calls

2 calls:

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

series437.0ms (11.4%)

Counts

1 → 16

Calls

1 calls:

436.0ms

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

Compiler

Compiled 300 to 304 computations (-1.3% saved)

simplify70.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5279	388

prune24.0ms (0.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	3	0	3
Picked	1	0	1
Done	1	0	1
Total	40	1	41

Error

Counts

41 → 1

Compiler

Compiled 434 to 125 computations (71.2% saved)

simplify13.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	302	865
1	302	865

regimes494.0ms (12.9%)

Compiler: Compiled 4599 to 3292 computations (28.4% saved)

bsearch0.0ms (0%)

regimes68.0ms (1.8%)

Compiler: Compiled 122 to 236 computations (-93.4% saved)

bsearch0.0ms (0%)

regimes54.0ms (1.4%)

Compiler: Compiled 20 to 92 computations (-360% saved)

bsearch0.0ms (0%)

Steps

Iters	Range		Point
0	12.73319212660503	12.735302660491387	12.734247393548207

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes29.0ms (0.8%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Compiler

Compiled 16 to 72 computations (-350% saved)

bsearch3.0ms (0.1%)

Compiler: Compiled 25 to 32 computations (-28% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	35
1	29	35

end0.0ms (0%)

sample1.3s (33.7%)

Algorithm

1×

intervals

Results

321.0ms	8000×	pre	128	true
211.0ms	8000×	body	128	valid

Compiler

Compiled 627 to 462 computations (26.3% saved)

Pareto

-0.6162709813285441

Details

analyze8.0ms (0.2%)

sample27.0ms (0.7%)

simplify95.0ms (2.5%)

prune3.0ms (0.1%)

localize7.0ms (0.2%)

rewrite21.0ms (0.6%)

series154.0ms (4%)

simplify59.0ms (1.5%)

prune65.0ms (1.7%)

localize6.0ms (0.2%)

rewrite12.0ms (0.3%)

series92.0ms (2.4%)

simplify54.0ms (1.4%)

prune36.0ms (0.9%)

localize11.0ms (0.3%)

rewrite21.0ms (0.5%)

series522.0ms (13.6%)

simplify70.0ms (1.8%)

prune60.0ms (1.6%)

localize10.0ms (0.3%)

rewrite11.0ms (0.3%)

series437.0ms (11.4%)

simplify70.0ms (1.8%)

prune24.0ms (0.6%)

simplify13.0ms (0.3%)

regimes494.0ms (12.9%)

bsearch0.0ms (0%)

regimes68.0ms (1.8%)

bsearch0.0ms (0%)

regimes54.0ms (1.4%)

bsearch0.0ms (0%)

regimes29.0ms (0.8%)

bsearch3.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.3s (33.7%)

Profiling