Details

analyze59.0ms (1.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	50%	12.6%	6
50%	37.5%	12.6%	7
56.2%	25%	18.8%	8
62.4%	18.7%	18.8%	9
65.6%	12.5%	22%	10
68.7%	9.4%	22%	11
70.2%	6.2%	23.5%	12
71.8%	4.7%	23.5%	13
72.6%	3.1%	24.3%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample12.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify16.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	165	10
1	165	10

prune2.0ms (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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 1 (*.f64 x y))
0.1b	(.f64 x (-.f64 1 (.f64 x y)))

rewrite12.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`sub-neg_binary64` `associate-r_binary64` `associate-l_binary64` `cancel-sign-sub-inv_binary64`
2×	`flip3--_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

2 → 36

Calls

2 calls:

6.0ms	(.f64 x (-.f64 1 (.f64 x y)))
3.0ms	(-.f64 1 (*.f64 x y))

series109.0ms (3.3%)

Counts

2 → 6

Calls

2 calls:

69.0ms	(.f64 x (-.f64 1 (.f64 x y)))
40.0ms	(-.f64 1 (*.f64 x y))

simplify63.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4842	491
1	4842	491

prune85.0ms (2.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	36	6	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	7	43

Merged error: 0.0b

Counts

43 → 7

Compiler

Compiled 1393 to 870 computations (37.5% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite18.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series639.0ms (19.1%)

Counts

4 → 12

Calls

4 calls:

181.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
158.0ms	(cbrt.f64 x)
151.0ms	(cbrt.f64 x)
148.0ms	(cbrt.f64 x)

simplify52.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5244	563

prune118.0ms (3.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	83	9	92

Merged error: 0.0b

Counts

92 → 9

Compiler

Compiled 2231 to 1149 computations (48.5% saved)

localize17.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 (cbrt.f64 x))
0.6b	(cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)))
0.9b	(pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)

rewrite16.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`cbrt-prod_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`unpow-prod-down_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-log-exp_binary64` `pow1/3_binary64` `add-cbrt-cube_binary64`
3×	`pow-unpow_binary64`
2×	`pow-pow_binary64`
1×	`pow-to-exp_binary64` `sqr-pow_binary64` `pow-exp_binary64`

Counts

4 → 58

Calls

4 calls:

4.0ms	(cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)))
4.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)
2.0ms	(cbrt.f64 (cbrt.f64 x))
1.0ms	(cbrt.f64 x)

series896.0ms (26.9%)

Counts

4 → 12

Calls

4 calls:

286.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)
235.0ms	(cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)))
221.0ms	(cbrt.f64 (cbrt.f64 x))
154.0ms	(cbrt.f64 x)

simplify76.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4813	625
1	4813	625

prune91.0ms (2.7%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	69	10	79

Merged error: 0.0b

Counts

79 → 10

Compiler

Compiled 1983 to 916 computations (53.8% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 1 (*.f64 x y))
0.1b	(.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (.f64 x y)) 3)))
0.2b	(pow.f64 (-.f64 1 (*.f64 x y)) 3)
10.4b	(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x y)) 3))

rewrite34.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`cbrt-prod_binary64`
24×	`add-sqr-sqrt_binary64`
15×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64`
10×	`unpow-prod-down_binary64` `cube-prod_binary64`
7×	`pow1_binary64` `add-exp-log_binary64`
6×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `cube-div_binary64`
5×	`unswap-sqr_binary64`
4×	`cbrt-div_binary64` `flip3--_binary64` `sqr-pow_binary64` `flip--_binary64`
3×	`pow-unpow_binary64` `associate-l_binary64` `unpow3_binary64` `cube-mult_binary64`
2×	`associate-*r/_binary64`
1×	`pow-to-exp_binary64` `pow-prod-down_binary64` `sub-neg_binary64` `rem-cbrt-cube_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `pow-pow_binary64` `cancel-sign-sub-inv_binary64` `rem-cube-cbrt_binary64` `prod-exp_binary64` `pow-exp_binary64` `*-commutative_binary64`

Counts

4 → 96

Calls

4 calls:

11.0ms	(.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (.f64 x y)) 3)))
6.0ms	(-.f64 1 (*.f64 x y))
5.0ms	(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x y)) 3))
4.0ms	(pow.f64 (-.f64 1 (*.f64 x y)) 3)

series238.0ms (7.1%)

Counts

4 → 12

Calls

4 calls:

98.0ms	(pow.f64 (-.f64 1 (*.f64 x y)) 3)
59.0ms	(.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (.f64 x y)) 3)))
41.0ms	(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x y)) 3))
40.0ms	(-.f64 1 (*.f64 x y))

simplify71.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4966	1453
1	4966	1453

prune96.0ms (2.9%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	0	6	6
Picked	0	1	1
Done	0	3	3
Total	107	11	118

Merged error: 0.0b

Counts

118 → 11

Compiler

Compiled 1772 to 1049 computations (40.8% saved)

regimes70.0ms (2.1%)

Compiler: Compiled 579 to 410 computations (29.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	10
1	35	10

end0.0ms (0%)

sample523.0ms (15.7%)

Algorithm

1×

intervals

Results

187.0ms	8000×	body	128	valid
2.0ms	73×	body	128	invalid

Compiler

Compiled 202 to 145 computations (28.2% saved)

Details

analyze59.0ms (1.8%)

sample12.0ms (0.4%)

simplify16.0ms (0.5%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

rewrite12.0ms (0.4%)

series109.0ms (3.3%)

simplify63.0ms (1.9%)

prune85.0ms (2.5%)

localize8.0ms (0.3%)

rewrite18.0ms (0.5%)

series639.0ms (19.1%)

simplify52.0ms (1.6%)

prune118.0ms (3.5%)

localize17.0ms (0.5%)

rewrite16.0ms (0.5%)

series896.0ms (26.9%)

simplify76.0ms (2.3%)

prune91.0ms (2.7%)

localize8.0ms (0.2%)

rewrite34.0ms (1%)

series238.0ms (7.1%)

simplify71.0ms (2.1%)

prune96.0ms (2.9%)

regimes70.0ms (2.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample523.0ms (15.7%)

Profiling