Details

analyze1.4s (23%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
1.1%	98.6%	0.3%	12
1.9%	97.8%	0.3%	13
7%	92.7%	0.3%	14

Compiler

Compiled 22 to 17 computations (22.7% saved)

sample31.0ms (0.5%)

Algorithm

1×

intervals

Results

18.0ms

256×

body

valid

Compiler

Compiled 43 to 39 computations (9.3% saved)

simplify98.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	5286	31

prune7.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 25.0b

Counts

2 → 1

Compiler

Compiled 42 to 31 computations (26.2% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 x y) z)
0.7b	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a))
2.2b	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b))
23.4b	(/.f64 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b)) (+.f64 (+.f64 x t) y))

rewrite48.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`*-un-lft-identity_binary64`
18×	`add-sqr-sqrt_binary64`
16×	`add-cube-cbrt_binary64`
15×	`times-frac_binary64`
13×	`distribute-lft-out_binary64`
11×	`add-log-exp_binary64`
10×	`associate-*l/_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`flip3-+_binary64` `flip-+_binary64`
6×	`pow1_binary64`
5×	`associate-/r*_binary64`
4×	`frac-add_binary64` `associate-l_binary64`
3×	`associate-r_binary64` `associate-/l*_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `diff-log_binary64` `associate-/r/_binary64` `flip--_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-sub_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `associate--l+_binary64` `*-commutative_binary64`

Counts

4 → 89

Calls

4 calls:

17.0ms	(/.f64 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b)) (+.f64 (+.f64 x t) y))
13.0ms	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b))
8.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a))
7.0ms	(*.f64 (+.f64 x y) z)

series227.0ms (3.7%)

Counts

4 → 12

Calls

4 calls:

168.0ms	(/.f64 (-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b)) (+.f64 (+.f64 x t) y))
34.0ms	(-.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a)) (*.f64 y b))
19.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 t y) a))
7.0ms	(*.f64 (+.f64 x y) z)

simplify84.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5225	3066

prune116.0ms (1.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	90	11	101
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	11	102

Merged error: 8.1b

Counts

102 → 11

Compiler

Compiled 3496 to 582 computations (83.4% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 x y) z)
0.7b	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a))
9.1b	(/.f64 (*.f64 y b) (+.f64 x (+.f64 y t)))
19.9b	(/.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (+.f64 x (+.f64 y t)))

rewrite43.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

50×	`*-un-lft-identity_binary64`
20×	`add-sqr-sqrt_binary64` `times-frac_binary64`
19×	`distribute-lft-out_binary64`
18×	`add-cube-cbrt_binary64` `associate-*l/_binary64`
13×	`flip3-+_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`
10×	`associate-/r*_binary64`
8×	`frac-add_binary64`
6×	`associate-/l/_binary64` `add-log-exp_binary64` `pow1_binary64`
4×	`associate-/r/_binary64` `associate-l_binary64` `associate-/l*_binary64`
3×	`associate-r_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
2×	`cbrt-unprod_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64`
1×	`pow-prod-down_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 106

Calls

4 calls:

15.0ms	(/.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (+.f64 x (+.f64 y t)))
9.0ms	(/.f64 (*.f64 y b) (+.f64 x (+.f64 y t)))
8.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a))
6.0ms	(*.f64 (+.f64 x y) z)

series118.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

71.0ms	(/.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (+.f64 x (+.f64 y t)))
20.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a))
20.0ms	(/.f64 (*.f64 y b) (+.f64 x (+.f64 y t)))
6.0ms	(*.f64 (+.f64 x y) z)

simplify60.0ms (1%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5033	2800

prune97.0ms (1.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	117	1	118
Fresh	0	10	10
Picked	1	0	1
Done	0	0	0
Total	118	11	129

Merged error: 4.5b

Counts

129 → 11

Compiler

Compiled 4625 to 685 computations (85.2% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 b (+.f64 x (+.f64 y t)))
0.7b	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a))
10.4b	(*.f64 y (/.f64 b (+.f64 x (+.f64 y t))))
19.9b	(/.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (+.f64 x (+.f64 y t)))

rewrite53.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

89×	`*-un-lft-identity_binary64`
46×	`times-frac_binary64`
39×	`add-sqr-sqrt_binary64`
34×	`add-cube-cbrt_binary64`
33×	`distribute-lft-out_binary64`
21×	`associate-r_binary64`
16×	`associate-*l/_binary64`
13×	`flip3-+_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`
10×	`associate-/r*_binary64`
8×	`frac-add_binary64`
6×	`associate-/l/_binary64` `add-log-exp_binary64` `pow1_binary64` `associate-/r/_binary64` `associate-/l*_binary64`
3×	`cbrt-undiv_binary64` `associate-l_binary64` `div-inv_binary64` `div-exp_binary64`
2×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `+-commutative_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

4 → 135

Calls

4 calls:

16.0ms	(/.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (+.f64 x (+.f64 y t)))
13.0ms	(*.f64 y (/.f64 b (+.f64 x (+.f64 y t))))
11.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a))
8.0ms	(/.f64 b (+.f64 x (+.f64 y t)))

series124.0ms (2%)

Counts

4 → 12

Calls

4 calls:

71.0ms	(/.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (+.f64 x (+.f64 y t)))
22.0ms	(*.f64 y (/.f64 b (+.f64 x (+.f64 y t))))
19.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a))
12.0ms	(/.f64 b (+.f64 x (+.f64 y t)))

simplify87.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5087	3361

prune117.0ms (1.9%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	143	4	147
Fresh	1	9	10
Picked	1	0	1
Done	0	0	0
Total	145	13	158

Merged error: 2.2b

Counts

158 → 13

Compiler

Compiled 5764 to 788 computations (86.3% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 b)
0.7b	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a))
9.3b	(.f64 (.f64 y (*.f64 (cbrt.f64 b) (cbrt.f64 b))) (/.f64 (cbrt.f64 b) (+.f64 x (+.f64 y t))))
19.9b	(/.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (+.f64 x (+.f64 y t)))

rewrite52.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

82×	`*-un-lft-identity_binary64`
45×	`times-frac_binary64`
36×	`associate-r_binary64`
32×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
30×	`distribute-lft-out_binary64`
27×	`add-exp-log_binary64`
20×	`add-cbrt-cube_binary64`
18×	`cbrt-prod_binary64`
16×	`associate-*l/_binary64`
13×	`pow1_binary64`
12×	`flip3-+_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `flip-+_binary64`
8×	`frac-add_binary64`
6×	`pow-prod-down_binary64` `associate-/l/_binary64` `add-log-exp_binary64`
5×	`associate-/r*_binary64`
4×	`cbrt-undiv_binary64` `associate-/r/_binary64` `div-exp_binary64`
3×	`associate-/l*_binary64`
2×	`div-inv_binary64`
1×	`associate-r/_binary64` `pow1/3_binary64` `associate-l_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

4 → 130

Calls

4 calls:

21.0ms	(.f64 (.f64 y (*.f64 (cbrt.f64 b) (cbrt.f64 b))) (/.f64 (cbrt.f64 b) (+.f64 x (+.f64 y t))))
15.0ms	(/.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (+.f64 x (+.f64 y t)))
9.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a))
1.0ms	(cbrt.f64 b)

series131.0ms (2.2%)

Counts

4 → 12

Calls

4 calls:

72.0ms	(/.f64 (+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a)) (+.f64 x (+.f64 y t)))
23.0ms	(.f64 (.f64 y (*.f64 (cbrt.f64 b) (cbrt.f64 b))) (/.f64 (cbrt.f64 b) (+.f64 x (+.f64 y t))))
20.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 y t) a))
15.0ms	(cbrt.f64 b)

simplify93.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4962	3332
1	4962	3332

prune74.0ms (1.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	142	13	155

Merged error: 2.2b

Counts

155 → 13

Compiler

Compiled 5883 to 718 computations (87.8% saved)

regimes734.0ms (12.1%)

Compiler: Compiled 2550 to 1338 computations (47.5% saved)

bsearch63.0ms (1%)

Steps

Iters	Range	Point
9	2.051243915385328e+115	2.9552354529360596e+120	5.151723195463842e+116
9	-6.128208058735494e-41	-1.8697968556132746e-47	-1.4762398414904788e-41
8	-1.5991189482873398e+268	-6.085289067124921e+265	-5.404135654519083e+266

Iters

Range

Point

2.051243915385328e+115

2.9552354529360596e+120

5.151723195463842e+116

-6.128208058735494e-41

-1.8697968556132746e-47

-1.4762398414904788e-41

-1.5991189482873398e+268

-6.085289067124921e+265

-5.404135654519083e+266

Compiler

Compiled 1 to 6 computations (-500% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	121	118
1	121	118

end0.0ms (0%)

sample2.2s (35.6%)

Algorithm

1×

intervals

Results

451.0ms	7996×	body	80	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

Compiler

Compiled 605 to 293 computations (51.6% saved)

Details

analyze1.4s (23%)

sample31.0ms (0.5%)

simplify98.0ms (1.6%)

prune7.0ms (0.1%)

localize13.0ms (0.2%)

rewrite48.0ms (0.8%)

series227.0ms (3.7%)

simplify84.0ms (1.4%)

prune116.0ms (1.9%)

localize13.0ms (0.2%)

rewrite43.0ms (0.7%)

series118.0ms (1.9%)

simplify60.0ms (1%)

prune97.0ms (1.6%)

localize14.0ms (0.2%)

rewrite53.0ms (0.9%)

series124.0ms (2%)

simplify87.0ms (1.4%)

prune117.0ms (1.9%)

localize18.0ms (0.3%)

rewrite52.0ms (0.8%)

series131.0ms (2.2%)

simplify93.0ms (1.5%)

prune74.0ms (1.2%)

regimes734.0ms (12.1%)

bsearch63.0ms (1%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample2.2s (35.6%)

Profiling