Details

analyze1.5s (16.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

Compiler

Compiled 16 to 16 computations (0% saved)

sample49.0ms (0.5%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
10.0ms	208×	body	128	invalid

Compiler

Compiled 31 to 39 computations (-25.8% saved)

simplify165.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	67	22
1	67	22

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 30 to 30 computations (0% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.0b	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
0.0b	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))

rewrite27.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-log-exp_binary64_4157`
10×	`sum-log_binary64_4209`
3×	`+-commutative_binary64_4053` `add-sqr-sqrt_binary64_4142` `flip-+_binary64_4095` `add-exp-log_binary64_4156` `add-cbrt-cube_binary64_4154` `add-cube-cbrt_binary64_4153` `*-un-lft-identity_binary64_4121` `pow1_binary64_4179` `flip3-+_binary64_4124`
2×	`associate-+l+_binary64_4056`

Counts

3 → 38

Calls

3 calls:

11.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
7.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
5.0ms	(+.f64 (.f64 x y) (.f64 z t))

series593.0ms (6.3%)

Counts

3 → 9

Calls

3 calls:

400.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
124.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
68.0ms	(+.f64 (.f64 x y) (.f64 z t))

simplify49.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5016	1004

prune47.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	3	48

Merged error: 0.0b

Counts

48 → 3

Compiler

Compiled 1071 to 185 computations (82.7% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i))) (cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (*.f64 c i))))
0.5b	(cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i)))
0.5b	(cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i)))
0.5b	(cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i)))

rewrite68.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_4149`
23×	`add-sqr-sqrt_binary64_4142`
18×	`cbrt-div_binary64_4150`
15×	`add-cube-cbrt_binary64_4153` `*-un-lft-identity_binary64_4121`
11×	`pow1_binary64_4179`
9×	`pow1/3_binary64_4200` `flip-+_binary64_4095` `flip3-+_binary64_4124`
6×	`associate-l_binary64_4064` `associate-r_binary64_4063` `add-exp-log_binary64_4156` `swap-sqr_binary64_4088`
4×	`add-log-exp_binary64_4157` `unswap-sqr_binary64_4089` `add-cbrt-cube_binary64_4154` `frac-times_binary64_4131`
2×	`pow-prod-up_binary64_4188` `pow-sqr_binary64_4094` `pow-prod-down_binary64_4189` `associate-l/_binary64_4066` `associate-r/_binary64_4065`
1×	`cbrt-unprod_binary64_4151` `pow-plus_binary64_4181` `prod-exp_binary64_4167` `*-commutative_binary64_4054` `pow2_binary64_4199`

Counts

4 → 87

Calls

4 calls:

26.0ms	(.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i))) (cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (*.f64 c i))))
9.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i)))
9.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i)))
9.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i)))

series1.4s (14.6%)

Counts

4 → 12

Calls

4 calls:

470.0ms	(.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i))) (cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (*.f64 c i))))
304.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i)))
303.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i)))
296.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i)))

simplify83.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4967	3842
1	4967	3842

prune140.0ms (1.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	97	5	102

Merged error: 0.0b

Counts

102 → 5

Compiler

Compiled 6025 to 581 computations (90.4% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i)))
0.5b	(cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i)))
0.5b	(cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i)))
0.5b	(cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i)))

rewrite52.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_4149`
8×	`add-sqr-sqrt_binary64_4142` `add-cube-cbrt_binary64_4153` `cbrt-div_binary64_4150` `*-un-lft-identity_binary64_4121`
4×	`add-log-exp_binary64_4157` `pow1/3_binary64_4200` `flip-+_binary64_4095` `add-exp-log_binary64_4156` `add-cbrt-cube_binary64_4154` `pow1_binary64_4179` `flip3-+_binary64_4124`

Counts

4 → 52

Calls

4 calls:

10.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i)))
9.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i)))
9.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i)))
9.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i)))

series1.2s (12.4%)

Counts

4 → 12

Calls

4 calls:

306.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i)))
293.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i)))
293.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i)))
283.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i)))

simplify106.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4924	2176
1	4924	2176

prune145.0ms (1.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	63	6	69

Merged error: 0.0b

Counts

69 → 6

Compiler

Compiled 5769 to 994 computations (82.8% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i))) 2))
0.5b	(cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i)))
0.5b	(cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i)))
0.5b	(cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i)))

rewrite57.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`cbrt-prod_binary64_4149`
10×	`add-sqr-sqrt_binary64_4142` `add-cube-cbrt_binary64_4153` `*-un-lft-identity_binary64_4121`
6×	`unpow-prod-down_binary64_4197` `cbrt-div_binary64_4150`
4×	`add-log-exp_binary64_4157` `pow1/3_binary64_4200` `add-exp-log_binary64_4156` `add-cbrt-cube_binary64_4154` `pow1_binary64_4179`
3×	`flip-+_binary64_4095` `flip3-+_binary64_4124`
1×	`sqr-pow_binary64_4093` `unpow2_binary64_4183`

Counts

4 → 58

Calls

4 calls:

11.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i))) 2))
10.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i)))
9.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i)))
9.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i)))

series1.3s (14%)

Counts

4 → 12

Calls

4 calls:

465.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i))) 2))
288.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i)))
287.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i)))
284.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i)))

simplify51.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	4907	2325
1	4907	2325

prune155.0ms (1.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	70	6	76

Merged error: 0.0b

Counts

76 → 6

Compiler

Compiled 7260 to 1060 computations (85.4% saved)

regimes500.0ms (5.3%)

Compiler: Compiled 7636 to 3938 computations (48.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	22
1	23	22

end0.0ms (0%)

sample1.7s (17.8%)

Algorithm

1×

intervals

Results

403.0ms	8000×	body	128	valid
292.0ms	5685×	body	128	invalid

Compiler

Compiled 533 to 283 computations (46.9% saved)

Details

analyze1.5s (16.1%)

sample49.0ms (0.5%)

simplify165.0ms (1.7%)

prune2.0ms (0%)

localize11.0ms (0.1%)

rewrite27.0ms (0.3%)

series593.0ms (6.3%)

simplify49.0ms (0.5%)

prune47.0ms (0.5%)

localize16.0ms (0.2%)

rewrite68.0ms (0.7%)

series1.4s (14.6%)

simplify83.0ms (0.9%)

prune140.0ms (1.5%)

localize23.0ms (0.2%)

rewrite52.0ms (0.5%)

series1.2s (12.4%)

simplify106.0ms (1.1%)

prune145.0ms (1.5%)

localize27.0ms (0.3%)

rewrite57.0ms (0.6%)

series1.3s (14%)

simplify51.0ms (0.5%)

prune155.0ms (1.6%)

regimes500.0ms (5.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.7s (17.8%)

Profiling