Details

analyze347.0ms (9.5%)

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
0%	99.9%	0.1%	5
21.8%	78%	0.1%	6
26.5%	73.3%	0.1%	7
32%	67.9%	0.1%	8
46.4%	52.7%	0.9%	9
50.9%	47.2%	1.9%	10
54.3%	43.3%	2.4%	11
62.1%	32.5%	5.4%	12
64.3%	28.1%	7.6%	13
66.3%	24.6%	9.2%	14

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample19.0ms (0.5%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	28×	body	80	invalid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify85.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	739	15
1	739	15

prune7.0ms (0.2%)

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 → 2

Compiler

Compiled 32 to 28 computations (12.5% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
0.0b	(/.f64 (+.f64 x 4) y)
2.2b	(*.f64 (/.f64 x y) z)

rewrite31.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`*-un-lft-identity_binary64`
25×	`add-sqr-sqrt_binary64`
22×	`times-frac_binary64`
20×	`add-cube-cbrt_binary64`
13×	`associate-l_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`add-log-exp_binary64` `pow1_binary64`
4×	`distribute-lft-out_binary64` `associate-/l*_binary64`
3×	`associate-/r_binary64` `associate-r_binary64` `insert-posit16` `associate-l/_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `clear-num_binary64` `frac-2neg_binary64` `sub-div_binary64` `flip--_binary64` `flip-+_binary64` `frac-sub_binary64` `*-commutative_binary64`

Counts

3 → 81

Calls

3 calls:

12.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
8.0ms	(*.f64 (/.f64 x y) z)
7.0ms	(/.f64 (+.f64 x 4) y)

series143.0ms (3.9%)

Counts

3 → 9

Calls

3 calls:

68.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
40.0ms	(*.f64 (/.f64 x y) z)
34.0ms	(/.f64 (+.f64 x 4) y)

simplify116.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	5133	1192

prune94.0ms (2.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	85	5	90
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	86	6	92

Merged error: 0b

Counts

92 → 6

Compiler

Compiled 1686 to 831 computations (50.7% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (+.f64 (/.f64 x y) (/.f64 4 y)) (*.f64 (/.f64 x y) z))
0.0b	(+.f64 (/.f64 x y) (/.f64 4 y))
2.2b	(*.f64 (/.f64 x y) z)

rewrite46.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64`
18×	`add-sqr-sqrt_binary64`
16×	`times-frac_binary64`
13×	`add-cube-cbrt_binary64` `associate-l_binary64`
10×	`add-log-exp_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow1_binary64`
4×	`distribute-lft-out_binary64` `associate-*l/_binary64`
3×	`associate-r_binary64` `div-inv_binary64` `insert-posit16` `frac-sub_binary64`
2×	`flip3-+_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `frac-add_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip-+_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `distribute-rgt-out_binary64` `div-exp_binary64` `+-commutative_binary64` `flip--_binary64` `associate--l+_binary64` `*-commutative_binary64`

Counts

3 → 68

Calls

3 calls:

20.0ms	(-.f64 (+.f64 (/.f64 x y) (/.f64 4 y)) (*.f64 (/.f64 x y) z))
15.0ms	(+.f64 (/.f64 x y) (/.f64 4 y))
8.0ms	(*.f64 (/.f64 x y) z)

series288.0ms (7.9%)

Counts

3 → 9

Calls

3 calls:

186.0ms	(*.f64 (/.f64 x y) z)
65.0ms	(-.f64 (+.f64 (/.f64 x y) (/.f64 4 y)) (*.f64 (/.f64 x y) z))
36.0ms	(+.f64 (/.f64 x y) (/.f64 4 y))

simplify124.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	5152	1164

prune74.0ms (2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	77	6	83

Merged error: 0b

Counts

83 → 6

Compiler

Compiled 1606 to 744 computations (53.7% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

2.2b	(*.f64 (/.f64 x y) z)
10.7b	(cbrt.f64 (*.f64 (/.f64 x y) z))
10.7b	(cbrt.f64 (*.f64 (/.f64 x y) z))
10.7b	(cbrt.f64 (*.f64 (/.f64 x y) z))

rewrite25.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
13×	`associate-l_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`times-frac_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`pow1_binary64`
4×	`add-log-exp_binary64` `insert-posit16` `associate-*l/_binary64`
3×	`cbrt-div_binary64` `associate-r_binary64` `pow1/3_binary64` `cbrt-prod_binary64`
2×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
1×	`pow-prod-down_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64` `*-commutative_binary64`

Counts

4 → 66

Calls

4 calls:

8.0ms	(*.f64 (/.f64 x y) z)
5.0ms	(cbrt.f64 (*.f64 (/.f64 x y) z))
5.0ms	(cbrt.f64 (*.f64 (/.f64 x y) z))
5.0ms	(cbrt.f64 (*.f64 (/.f64 x y) z))

series511.0ms (14%)

Counts

4 → 12

Calls

4 calls:

162.0ms	(cbrt.f64 (*.f64 (/.f64 x y) z))
155.0ms	(cbrt.f64 (*.f64 (/.f64 x y) z))
154.0ms	(cbrt.f64 (*.f64 (/.f64 x y) z))
39.0ms	(*.f64 (/.f64 x y) z)

simplify130.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (106.0ms)

Iter	Nodes	Cost
0	4970	803
1	4970	803

prune86.0ms (2.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	78	6	84

Merged error: 0b

Counts

84 → 6

Compiler

Compiled 2485 to 723 computations (70.9% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.7b	(.f64 (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (*.f64 z (cbrt.f64 (/.f64 x y))))
7.9b	(cbrt.f64 (/.f64 x y))
7.9b	(cbrt.f64 (/.f64 x y))
7.9b	(cbrt.f64 (/.f64 x y))

rewrite32.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`cbrt-prod_binary64`
27×	`times-frac_binary64`
25×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
16×	`pow1_binary64` `add-exp-log_binary64`
15×	`cbrt-div_binary64`
10×	`add-cbrt-cube_binary64`
8×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
7×	`associate-*r/_binary64`
5×	`frac-times_binary64` `associate-*l/_binary64`
4×	`add-log-exp_binary64` `insert-posit16`
3×	`pow1/3_binary64` `div-inv_binary64`
1×	`associate-r_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 99

Calls

4 calls:

19.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (*.f64 z (cbrt.f64 (/.f64 x y))))
3.0ms	(cbrt.f64 (/.f64 x y))
3.0ms	(cbrt.f64 (/.f64 x y))
3.0ms	(cbrt.f64 (/.f64 x y))

series354.0ms (9.7%)

Counts

4 → 12

Calls

4 calls:

105.0ms	(cbrt.f64 (/.f64 x y))
105.0ms	(cbrt.f64 (/.f64 x y))
99.0ms	(cbrt.f64 (/.f64 x y))
44.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (*.f64 z (cbrt.f64 (/.f64 x y))))

simplify139.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (109.0ms)

Iter	Nodes	Cost
0	4966	1346
1	4966	1346

prune109.0ms (3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	111	6	117

Merged error: 0b

Counts

117 → 6

Compiler

Compiled 2783 to 916 computations (67.1% saved)

regimes61.0ms (1.7%)

Compiler: Compiled 318 to 225 computations (29.2% saved)

bsearch34.0ms (0.9%)

Steps

Iters	Range		Point
2	3.2361996386728584e-98	3.707723240887797e-98	3.648782790610929e-98
10	-7.50011462471858e+135	-3.8517321678806e+122	-5.06235049948775e+122

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	97	66
1	97	66

end0.0ms (0%)

sample733.0ms (20.2%)

Algorithm

1×

intervals

Results

317.0ms	8000×	body	80	valid
49.0ms	1212×	body	80	invalid

Compiler

Compiled 161 to 112 computations (30.4% saved)

Details

analyze347.0ms (9.5%)

sample19.0ms (0.5%)

simplify85.0ms (2.3%)

prune7.0ms (0.2%)

localize9.0ms (0.2%)

rewrite31.0ms (0.9%)

series143.0ms (3.9%)

simplify116.0ms (3.2%)

prune94.0ms (2.6%)

localize9.0ms (0.2%)

rewrite46.0ms (1.3%)

series288.0ms (7.9%)

simplify124.0ms (3.4%)

prune74.0ms (2%)

localize13.0ms (0.4%)

rewrite25.0ms (0.7%)

series511.0ms (14%)

simplify130.0ms (3.6%)

prune86.0ms (2.4%)

localize13.0ms (0.3%)

rewrite32.0ms (0.9%)

series354.0ms (9.7%)

simplify139.0ms (3.8%)

prune109.0ms (3%)

regimes61.0ms (1.7%)

bsearch34.0ms (0.9%)

simplify7.0ms (0.2%)

end0.0ms (0%)

sample733.0ms (20.2%)

Profiling