Details

analyze355.0ms (15.5%)

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

sample20.0ms (0.9%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	37×	body	80	invalid

simplify41.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	766	10
1	766	10

prune10.0ms (0.4%)

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 → 2

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 x 4.0) y)
0.0b	(-.f64 (/.f64 (+.f64 x 4.0) y) (*.f64 (/.f64 x y) z))
2.6b	(*.f64 (/.f64 x y) z)

rewrite24.0ms (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-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 4.0) y) (*.f64 (/.f64 x y) z))
6.0ms	(*.f64 (/.f64 x y) z)
6.0ms	(/.f64 (+.f64 x 4.0) y)

series27.0ms (1.2%)

Counts

3 → 9

Calls

3 calls:

15.0ms	(-.f64 (/.f64 (+.f64 x 4.0) y) (*.f64 (/.f64 x y) z))
7.0ms	(*.f64 (/.f64 x y) z)
5.0ms	(/.f64 (+.f64 x 4.0) y)

simplify62.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4942	779
1	4942	779

prune130.0ms (5.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	80	7	87
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	81	8	89

Merged error: 0.0b

Counts

89 → 8

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (/.f64 4.0 y) (*.f64 (/.f64 x y) (-.f64 1 z)))
2.6b	(*.f64 (/.f64 x y) (-.f64 1 z))

rewrite22.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
13×	`-un-lft-identity_binary64` `associate-l*_binary64`
10×	`add-cube-cbrt_binary64` `times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-r_binary64`
5×	`frac-add_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `associate-*r/_binary64` `flip--_binary64` `frac-times_binary64`
2×	`cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `associate-+r+_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-undiv_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 59

Calls

2 calls:

12.0ms	(*.f64 (/.f64 x y) (-.f64 1 z))
8.0ms	(+.f64 (/.f64 4.0 y) (*.f64 (/.f64 x y) (-.f64 1 z)))

series21.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

11.0ms	(+.f64 (/.f64 4.0 y) (*.f64 (/.f64 x y) (-.f64 1 z)))
11.0ms	(*.f64 (/.f64 x y) (-.f64 1 z))

simplify54.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5327	722

prune94.0ms (4.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	65	8	73

Merged error: 0.0b

Counts

73 → 8

localize12.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
2.4b	(.f64 (/.f64 x y) (.f64 (cbrt.f64 z) (cbrt.f64 z)))

rewrite15.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

10.0ms	(.f64 (/.f64 x y) (.f64 (cbrt.f64 z) (cbrt.f64 z)))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series88.0ms (3.8%)

Counts

4 → 12

Calls

4 calls:

32.0ms	(.f64 (/.f64 x y) (.f64 (cbrt.f64 z) (cbrt.f64 z)))
20.0ms	(cbrt.f64 z)
18.0ms	(cbrt.f64 z)
18.0ms	(cbrt.f64 z)

simplify32.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4978	477
1	4978	477

prune110.0ms (4.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	80	8	88

Merged error: 0b

Counts

88 → 8

localize19.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
2.4b	(.f64 (/.f64 x y) (.f64 (cbrt.f64 z) (cbrt.f64 z)))

rewrite15.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

9.0ms	(.f64 (/.f64 x y) (.f64 (cbrt.f64 z) (cbrt.f64 z)))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series88.0ms (3.8%)

Counts

4 → 12

Calls

4 calls:

32.0ms	(.f64 (/.f64 x y) (.f64 (cbrt.f64 z) (cbrt.f64 z)))
20.0ms	(cbrt.f64 z)
18.0ms	(cbrt.f64 z)
18.0ms	(cbrt.f64 z)

simplify35.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	4978	477
1	4978	477

prune92.0ms (4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	80	8	88

Merged error: 0b

Counts

88 → 8

regimes211.0ms (9.2%)

Accuracy

Total 0.4b remaining (97.4%)

Threshold costs 0.4b (97.4%)

bsearch171.0ms (7.4%)

Steps

Iters	Range		Point
9	3.087287727388141e-108	2.88405391868431e-103	1.9654463681291534e-103
9	-43423449127.62759	-514977.19439403806	-54822146.32625891

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	71	31
1	71	31

end0.0ms (0%)

sample530.0ms (23.1%)

Algorithm

1×

intervals

Results

303.0ms	8000×	body	80	valid
41.0ms	1133×	body	80	invalid

Details

analyze355.0ms (15.5%)

sample20.0ms (0.9%)

simplify41.0ms (1.8%)

prune10.0ms (0.4%)

localize8.0ms (0.4%)

rewrite24.0ms (1%)

series27.0ms (1.2%)

simplify62.0ms (2.7%)

prune130.0ms (5.6%)

localize8.0ms (0.4%)

rewrite22.0ms (1%)

series21.0ms (0.9%)

simplify54.0ms (2.3%)

prune94.0ms (4.1%)

localize12.0ms (0.5%)

rewrite15.0ms (0.7%)

series88.0ms (3.8%)

simplify32.0ms (1.4%)

prune110.0ms (4.8%)

localize19.0ms (0.8%)

rewrite15.0ms (0.7%)

series88.0ms (3.8%)

simplify35.0ms (1.5%)

prune92.0ms (4%)

regimes211.0ms (9.2%)

bsearch171.0ms (7.4%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample530.0ms (23.1%)

Profiling