Details

analyze346.0ms (12.8%)

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
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 (0.7%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	33×	body	80	invalid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify63.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	739	15
1	739	15

prune8.0ms (0.3%)

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)

localize11.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 x 4) y)
0.0b	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
2.6b	(*.f64 (/.f64 x y) z)

rewrite24.0ms (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` `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 → 78

Calls

3 calls:

9.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
6.0ms	(*.f64 (/.f64 x y) z)
6.0ms	(/.f64 (+.f64 x 4) y)

series21.0ms (0.8%)

Counts

3 → 9

Calls

3 calls:

11.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
6.0ms	(*.f64 (/.f64 x y) z)
4.0ms	(/.f64 (+.f64 x 4) y)

simplify80.0ms (3%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5082	1159

prune75.0ms (2.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	82	5	87
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	82	7	89

Merged error: 0.0b

Counts

89 → 7

Compiler

Compiled 1648 to 811 computations (50.8% saved)

localize17.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`

Counts

4 → 44

Calls

4 calls:

2.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 x)

series63.0ms (2.3%)

Counts

4 → 12

Calls

4 calls:

17.0ms	(cbrt.f64 y)
17.0ms	(cbrt.f64 y)
15.0ms	(cbrt.f64 y)
14.0ms	(cbrt.f64 x)

simplify66.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4925	340
1	4925	340

prune46.0ms (1.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	56	7	63

Merged error: 0.0b

Counts

63 → 7

Compiler

Compiled 1712 to 602 computations (64.8% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 x 4) y)
0.0b	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
6.0b	(*.f64 x (/.f64 z y))

rewrite27.0ms (1%)

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-r_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` `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 → 78

Calls

3 calls:

9.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
8.0ms	(/.f64 (+.f64 x 4) y)
7.0ms	(*.f64 x (/.f64 z y))

series21.0ms (0.8%)

Counts

3 → 9

Calls

3 calls:

11.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
5.0ms	(*.f64 x (/.f64 z y))
4.0ms	(/.f64 (+.f64 x 4) y)

simplify77.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5079	1180

prune63.0ms (2.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	85	2	87
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	86	8	94

Merged error: 0b

Counts

94 → 8

Compiler

Compiled 1628 to 785 computations (51.8% saved)

localize18.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
1.6b	(.f64 x (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 y) (cbrt.f64 y))))

rewrite18.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

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

series75.0ms (2.8%)

Counts

4 → 12

Calls

4 calls:

27.0ms	(.f64 x (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 y) (cbrt.f64 y))))
18.0ms	(cbrt.f64 y)
15.0ms	(cbrt.f64 y)
14.0ms	(cbrt.f64 y)

simplify128.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (112.0ms)

Iter	Nodes	Cost
0	4934	798
1	4934	798

prune50.0ms (1.8%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	75	8	83

Merged error: 0b

Counts

83 → 8

Compiler

Compiled 2138 to 807 computations (62.3% saved)

regimes252.0ms (9.3%)

Compiler: Compiled 812 to 606 computations (25.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	78	42
1	78	42

end0.0ms (0%)

sample1.1s (41.4%)

Algorithm

1×

intervals

Results

289.0ms	8000×	body	80	valid
48.0ms	1235×	body	80	invalid

Compiler

Compiled 179 to 131 computations (26.8% saved)

Details

analyze346.0ms (12.8%)

sample19.0ms (0.7%)

simplify63.0ms (2.3%)

prune8.0ms (0.3%)

localize11.0ms (0.4%)

rewrite24.0ms (0.9%)

series21.0ms (0.8%)

simplify80.0ms (3%)

prune75.0ms (2.8%)

localize17.0ms (0.6%)

rewrite6.0ms (0.2%)

series63.0ms (2.3%)

simplify66.0ms (2.4%)

prune46.0ms (1.7%)

localize9.0ms (0.3%)

rewrite27.0ms (1%)

series21.0ms (0.8%)

simplify77.0ms (2.8%)

prune63.0ms (2.3%)

localize18.0ms (0.7%)

rewrite18.0ms (0.7%)

series75.0ms (2.8%)

simplify128.0ms (4.7%)

prune50.0ms (1.8%)

regimes252.0ms (9.3%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample1.1s (41.4%)

Profiling