Details

analyze354.0ms (7.6%)

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
12.5%	87.4%	0.1%	4
18.7%	81.1%	0.1%	5
18.7%	81.1%	0.1%	6
21.8%	78%	0.1%	7
27.3%	61.6%	11.1%	8
28.5%	60.5%	11.1%	9
32.6%	53.4%	14%	10
40.2%	38.1%	21.7%	11
41.8%	35.8%	22.4%	12
44.5%	29.2%	26.3%	13
47.1%	21.3%	31.6%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample32.0ms (0.7%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
9.0ms	243×	body	128	invalid

Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify103.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	5645	12

prune2.0ms (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: 8.5b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (cosh.f64 x) (/.f64 y x))
8.0b	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

rewrite19.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`associate-r_binary64` `times-frac_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
5×	`cbrt-undiv_binary64` `div-exp_binary64`
4×	`pow1_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `cosh-def_binary64`
3×	`associate-/l/_binary64` `associate-/r_binary64` `associate-l*_binary64`
2×	`add-log-exp_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `div-inv_binary64` `frac-times_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `-commutative_binary64`

Counts

2 → 60

Calls

2 calls:

8.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
7.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

series413.0ms (8.9%)

Counts

2 → 6

Calls

2 calls:

257.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
156.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))

simplify77.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4953	887
1	4953	887

prune183.0ms (3.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	57	9	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	9	67

Merged error: 0.0b

Counts

67 → 9

Compiler

Compiled 2866 to 1630 computations (43.1% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0b	(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)
6.7b	(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (.f64 z (*.f64 x 2)))

rewrite32.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`cbrt-unprod_binary64` `prod-exp_binary64`
9×	`*-un-lft-identity_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`cbrt-undiv_binary64` `div-exp_binary64`
5×	`add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `associate-l_binary64`
4×	`associate-*l/_binary64`
3×	`flip3-+_binary64` `associate-r_binary64` `flip-+_binary64`
2×	`associate-/l/_binary64` `distribute-lft-out_binary64` `2cosh-undef_binary64`
1×	`pow-prod-down_binary64` `associate-/r_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

3 → 62

Calls

3 calls:

13.0ms	(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (.f64 z (*.f64 x 2)))
8.0ms	(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)
5.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series340.0ms (7.3%)

Counts

3 → 9

Calls

3 calls:

210.0ms	(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (.f64 z (*.f64 x 2)))
104.0ms	(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)
26.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify60.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4987	1059
1	4987	1059

prune112.0ms (2.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	67	4	71
Fresh	5	3	8
Picked	0	1	1
Done	0	0	0
Total	72	8	80

Merged error: 0b

Counts

80 → 8

Compiler

Compiled 2020 to 1034 computations (48.8% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0b	(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) z)
0.3b	(*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) z) y)
6.5b	(/.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) z) y) (.f64 x 2))

rewrite52.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`*-un-lft-identity_binary64`
32×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `times-frac_binary64`
29×	`add-sqr-sqrt_binary64`
24×	`add-cube-cbrt_binary64`
19×	`associate-l_binary64`
10×	`cbrt-undiv_binary64` `div-exp_binary64`
9×	`cbrt-unprod_binary64` `prod-exp_binary64`
8×	`distribute-lft-out_binary64` `2cosh-undef_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `associate-/l*_binary64`
4×	`associate-/r*_binary64`
3×	`associate-/l/_binary64` `associate-r_binary64` `div-inv_binary64`
2×	`flip3-+_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 114

Calls

4 calls:

13.0ms	(/.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) z) y) (.f64 x 2))
12.0ms	(*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) z) y)
8.0ms	(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) z)
5.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series517.0ms (11.1%)

Counts

4 → 12

Calls

4 calls:

222.0ms	(/.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) z) y) (.f64 x 2))
187.0ms	(*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) z) y)
83.0ms	(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) z)
24.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify80.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4987	2163
1	4987	2163

prune133.0ms (2.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	125	1	126
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	126	8	134

Merged error: 0b

Counts

134 → 8

Compiler

Compiled 2897 to 1150 computations (60.3% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0b	(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) z)
0.3b	(*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) z) y)
6.5b	(.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) z) y) (/.f64 1/2 x))

rewrite56.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

47×	`*-un-lft-identity_binary64`
40×	`times-frac_binary64`
36×	`add-sqr-sqrt_binary64`
32×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
31×	`add-cube-cbrt_binary64`
20×	`associate-l_binary64`
16×	`associate-r_binary64`
12×	`cbrt-unprod_binary64` `prod-exp_binary64`
11×	`pow1_binary64`
8×	`distribute-lft-out_binary64` `2cosh-undef_binary64`
7×	`cbrt-undiv_binary64` `div-exp_binary64`
6×	`add-log-exp_binary64`
5×	`associate-/l*_binary64`
4×	`pow-prod-down_binary64` `associate-*l/_binary64`
3×	`associate-/r*_binary64` `div-inv_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `unswap-sqr_binary64` `flip-+_binary64` `*-commutative_binary64`
1×	`associate-*r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `frac-times_binary64` `sum-log_binary64`

Counts

4 → 127

Calls

4 calls:

19.0ms	(.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) z) y) (/.f64 1/2 x))
12.0ms	(*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) z) y)
8.0ms	(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) z)
5.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series520.0ms (11.2%)

Counts

4 → 12

Calls

4 calls:

237.0ms	(.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) z) y) (/.f64 1/2 x))
183.0ms	(*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) z) y)
74.0ms	(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) z)
25.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify76.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4962	2447
1	4962	2447

prune137.0ms (3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	139	8	147

Merged error: 0b

Counts

147 → 8

Compiler

Compiled 2922 to 1079 computations (63.1% saved)

regimes141.0ms (3%)

Compiler: Compiled 430 to 374 computations (13% saved)

bsearch58.0ms (1.2%)

Steps

Iters	Range		Point
7	3.715202889919742e+78	2.0084140445709823e+80	3.797577207409332e+78
9	-330259.3205778371	-0.012813691581831356	-0.06013142179743951

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	71
1	39	71

end0.0ms (0%)

sample1.1s (23.8%)

Algorithm

1×

intervals

Results

298.0ms	8000×	body	128	valid
273.0ms	7403×	body	128	invalid

Compiler

Compiled 190 to 141 computations (25.8% saved)

Details

analyze354.0ms (7.6%)

sample32.0ms (0.7%)

simplify103.0ms (2.2%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite19.0ms (0.4%)

series413.0ms (8.9%)

simplify77.0ms (1.7%)

prune183.0ms (3.9%)

localize11.0ms (0.2%)

rewrite32.0ms (0.7%)

series340.0ms (7.3%)

simplify60.0ms (1.3%)

prune112.0ms (2.4%)

localize11.0ms (0.2%)

rewrite52.0ms (1.1%)

series517.0ms (11.1%)

simplify80.0ms (1.7%)

prune133.0ms (2.9%)

localize12.0ms (0.2%)

rewrite56.0ms (1.2%)

series520.0ms (11.2%)

simplify76.0ms (1.6%)

prune137.0ms (3%)

regimes141.0ms (3%)

bsearch58.0ms (1.2%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.1s (23.8%)

Profiling