Details

analyze766.0ms (6.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
5.8%	94%	0.2%	9
7.6%	92.2%	0.2%	10
11.6%	88.2%	0.2%	11
18.5%	81.3%	0.2%	12
32.3%	66.9%	0.8%	13
37%	62.2%	0.8%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample20.0ms (0.2%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	39×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify274.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (173.0ms)

Iter	Nodes	Cost
0	4367	7
1	4367	7

prune4.0ms (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: 7.0b

Counts

2 → 2

Compiler

Compiled 19 to 20 computations (-5.3% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

6.8b	(*.f64 x (/.f64 y z))

rewrite9.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_23288`
13×	`associate-r_binary64_23206`
10×	`times-frac_binary64_23272`
9×	`add-cube-cbrt_binary64_23301` `*-un-lft-identity_binary64_23266`
6×	`add-exp-log_binary64_23304` `add-cbrt-cube_binary64_23302`
3×	`pow1_binary64_23327` `associate-l_binary64_23207`
2×	`cbrt-unprod_binary64_23299` `prod-exp_binary64_23315` `unswap-sqr_binary64_23234`
1×	`div-exp_binary64_23317` `cbrt-undiv_binary64_23300` `-commutative_binary64_23197` `associate-r/_binary64_23208` `pow-prod-down_binary64_23337` `div-inv_binary64_23263` `add-log-exp_binary64_23305`

Counts

1 → 32

Calls

1 calls:

7.0ms

(*.f64 x (/.f64 y z))

series19.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

19.0ms

(*.f64 x (/.f64 y z))

simplify88.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4985	348
1	4985	348

prune89.0ms (0.7%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	15	20	35
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	15	22	37

Merged error: 0.0b

Counts

37 → 22

Compiler

Compiled 532 to 265 computations (50.2% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.9b	(.f64 x (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))

rewrite20.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-exp-log_binary64_23304`
14×	`add-cbrt-cube_binary64_23302`
12×	`add-sqr-sqrt_binary64_23288`
9×	`cbrt-prod_binary64_23297` `add-cube-cbrt_binary64_23301` `cbrt-unprod_binary64_23299` `prod-exp_binary64_23315` `*-un-lft-identity_binary64_23266`
6×	`pow1_binary64_23327`
5×	`associate-r_binary64_23206`
4×	`div-exp_binary64_23317` `cbrt-undiv_binary64_23300` `add-log-exp_binary64_23305`
3×	`pow1/3_binary64_23348` `associate-l_binary64_23207`
2×	`unswap-sqr_binary64_23234` `times-frac_binary64_23272`
1×	`-commutative_binary64_23197` `associate-r/_binary64_23208` `pow-prod-down_binary64_23337` `div-inv_binary64_23263`

Counts

4 → 63

Calls

4 calls:

12.0ms	(.f64 x (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series351.0ms (2.9%)

Counts

4 → 12

Calls

4 calls:

90.0ms	(.f64 x (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))
88.0ms	(cbrt.f64 y)
88.0ms	(cbrt.f64 y)
85.0ms	(cbrt.f64 y)

simplify80.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4944	794
1	4944	794

prune350.0ms (2.9%)

Pruning

55 alts after pruning (53 fresh and 2 done)

	Pruned	Kept	Total
New	42	33	75
Fresh	0	20	20
Picked	0	1	1
Done	0	1	1
Total	42	55	97

Merged error: 0.0b

Counts

97 → 55

Compiler

Compiled 2287 to 1057 computations (53.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite7.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_23297`
8×	`add-cube-cbrt_binary64_23301` `add-sqr-sqrt_binary64_23288` `*-un-lft-identity_binary64_23266`
4×	`pow1_binary64_23327` `pow1/3_binary64_23348` `add-exp-log_binary64_23304` `add-cbrt-cube_binary64_23302` `add-log-exp_binary64_23305`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 z)

series327.0ms (2.7%)

Counts

4 → 12

Calls

4 calls:

86.0ms	(cbrt.f64 y)
82.0ms	(cbrt.f64 y)
81.0ms	(cbrt.f64 z)
77.0ms	(cbrt.f64 y)

simplify36.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5087	340

prune326.0ms (2.7%)

Pruning

76 alts after pruning (73 fresh and 3 done)

	Pruned	Kept	Total
New	32	24	56
Fresh	3	49	52
Picked	0	1	1
Done	0	2	2
Total	35	76	111

Merged error: 0.0b

Counts

111 → 76

Compiler

Compiled 2595 to 1219 computations (53% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (neg.f64 z))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite9.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`cbrt-prod_binary64_23297`
10×	`add-cube-cbrt_binary64_23301` `add-sqr-sqrt_binary64_23288` `*-un-lft-identity_binary64_23266`
4×	`pow1_binary64_23327` `pow1/3_binary64_23348` `add-exp-log_binary64_23304` `add-cbrt-cube_binary64_23302` `add-log-exp_binary64_23305`
3×	`distribute-lft-neg-in_binary64_23223` `distribute-rgt-neg-in_binary64_23224`
1×	`neg-mul-1_binary64_23262`

Counts

4 → 51

Calls

4 calls:

2.0ms	(cbrt.f64 (neg.f64 z))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series345.0ms (2.8%)

Counts

4 → 12

Calls

4 calls:

90.0ms	(cbrt.f64 y)
87.0ms	(cbrt.f64 (neg.f64 z))
85.0ms	(cbrt.f64 y)
83.0ms	(cbrt.f64 y)

simplify94.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4789	445
1	4789	445

prune349.0ms (2.9%)

Pruning

101 alts after pruning (97 fresh and 4 done)

	Pruned	Kept	Total
New	36	27	63
Fresh	2	70	72
Picked	0	1	1
Done	0	3	3
Total	38	101	139

Merged error: 0.0b

Counts

139 → 101

Compiler

Compiled 1422 to 454 computations (68.1% saved)

regimes2.6s (21.3%)

Compiler: Compiled 28476 to 19453 computations (31.7% saved)

bsearch2.2s (17.8%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	38
1	26	38

end0.0ms (0%)

sample3.8s (31.1%)

Algorithm

1×

intervals

Results

287.0ms	8000×	body	128	valid
54.0ms	1496×	body	128	invalid

Compiler

Compiled 4165 to 2818 computations (32.3% saved)

Pareto

Details

analyze766.0ms (6.3%)

sample20.0ms (0.2%)

simplify274.0ms (2.3%)

prune4.0ms (0%)

localize4.0ms (0%)

rewrite9.0ms (0.1%)

series19.0ms (0.2%)

simplify88.0ms (0.7%)

prune89.0ms (0.7%)

localize16.0ms (0.1%)

rewrite20.0ms (0.2%)

series351.0ms (2.9%)

simplify80.0ms (0.7%)

prune350.0ms (2.9%)

localize10.0ms (0.1%)

rewrite7.0ms (0.1%)

series327.0ms (2.7%)

simplify36.0ms (0.3%)

prune326.0ms (2.7%)

localize18.0ms (0.1%)

rewrite9.0ms (0.1%)

series345.0ms (2.8%)

simplify94.0ms (0.8%)

prune349.0ms (2.9%)

regimes2.6s (21.3%)

bsearch2.2s (17.8%)

simplify5.0ms (0%)

end0.0ms (0%)

sample3.8s (31.1%)

Profiling