Details

analyze1.7s (7.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5039	616
0	7	7
1	7	7

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
0%	99.7%	0.3%	12
0%	99.7%	0.3%	13
0%	99.7%	0.3%	14

Compiler

Compiled 20 to 19 computations (5% saved)

sample72.0ms (0.3%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
8.0ms	146×	body	128	invalid

Compiler

Compiled 39 to 44 computations (-12.8% saved)

simplify68.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4917	25
1	4917	25

prune6.0ms (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

Error

7.2b

Counts

2 → 2

Compiler

Compiled 53 to 52 computations (1.9% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 9) y)
0.7b	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
2.9b	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
11.5b	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)

rewrite185.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

7.1b

Rules

21×	`add-cube-cbrt_binary64_20914` `add-sqr-sqrt_binary64_20901` `*-un-lft-identity_binary64_20879`
18×	`times-frac_binary64_20885`
13×	`add-exp-log_binary64_20917` `add-cbrt-cube_binary64_20915`
9×	`pow1_binary64_20940`
6×	`add-log-exp_binary64_20918` `associate-/l_binary64_20824` `associate-/r_binary64_20823`
4×	`associate-/l/_binary64_20826`
3×	`flip3-+_binary64_20882` `flip-+_binary64_20853` `pow-prod-down_binary64_20950` `prod-exp_binary64_20928` `cbrt-unprod_binary64_20912` `associate-r_binary64_20819`
2×	`div-exp_binary64_20930` `cbrt-undiv_binary64_20913` `frac-2neg_binary64_20890` `clear-num_binary64_20878` `div-inv_binary64_20876`
1×	`sum-log_binary64_20970` `+-commutative_binary64_20809` `associate-l_binary64_20820` `*-commutative_binary64_20810`

Counts

4 → 87

Calls

4 calls:

14.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
14.0ms	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)
11.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
6.0ms	(.f64 (.f64 x 9) y)

Compiler

Compiled 2574 to 1468 computations (43% saved)

series1.7s (7.7%)

Error

6.5b

Counts

4 → 102

Calls

4 calls:

841.0ms	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)
533.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
232.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
49.0ms	(.f64 (.f64 x 9) y)

Compiler

Compiled 4303 to 3195 computations (25.7% saved)

simplify98.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4945	3851
1	4945	3851

prune203.0ms (0.9%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	176	13	189
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	177	14	191

Error

6.4b

Counts

191 → 14

Compiler

Compiled 4061 to 2092 computations (48.5% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 9) y)
0.7b	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
2.9b	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
11.6b	(.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (*.f64 t a) -4)) (/.f64 1 c))

rewrite177.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

6.4b

Rules

28×	`add-sqr-sqrt_binary64_20901`
22×	`*-un-lft-identity_binary64_20879`
21×	`add-cube-cbrt_binary64_20914`
20×	`add-exp-log_binary64_20917` `times-frac_binary64_20885`
16×	`add-cbrt-cube_binary64_20915` `associate-r_binary64_20819`
11×	`pow1_binary64_20940`
7×	`prod-exp_binary64_20928`
6×	`add-log-exp_binary64_20918`
5×	`cbrt-unprod_binary64_20912`
4×	`pow-prod-down_binary64_20950` `flip3-+_binary64_20882` `flip-+_binary64_20853` `associate-l_binary64_20820`
3×	`div-exp_binary64_20930` `unswap-sqr_binary64_20847` `associate-/l_binary64_20824` `associate-/r_binary64_20823`
2×	`cbrt-undiv_binary64_20913` `frac-times_binary64_20889` `associate-l/_binary64_20822` `div-inv_binary64_20876` `-commutative_binary64_20810` `associate-/l/_binary64_20826`
1×	`1-exp_binary64_20923` `rec-exp_binary64_20929` `un-div-inv_binary64_20877` `associate-*r/_binary64_20821` `frac-2neg_binary64_20890` `clear-num_binary64_20878` `sum-log_binary64_20970` `+-commutative_binary64_20809`

Counts

4 → 98

Calls

4 calls:

17.0ms	(.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (*.f64 t a) -4)) (/.f64 1 c))
11.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
8.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
5.0ms	(.f64 (.f64 x 9) y)

Compiler

Compiled 3055 to 1849 computations (39.5% saved)

series1.8s (8%)

Error

6.4b

Counts

4 → 102

Calls

4 calls:

847.0ms	(.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (*.f64 t a) -4)) (/.f64 1 c))
552.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
247.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
50.0ms	(.f64 (.f64 x 9) y)

Compiler

Compiled 4627 to 3520 computations (23.9% saved)

simplify114.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4980	4236
1	4980	4236

prune455.0ms (2%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	199	1	200
Fresh	1	12	13
Picked	0	1	1
Done	0	0	0
Total	200	14	214

Error

6.4b

Counts

214 → 14

Compiler

Compiled 4645 to 2438 computations (47.5% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 1 (/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))))
0.7b	(+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))
2.9b	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)
11.5b	(/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)))

rewrite317.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

6.4b

Rules

99×	`times-frac_binary64_20885`
64×	`add-cube-cbrt_binary64_20914` `add-sqr-sqrt_binary64_20901` `*-un-lft-identity_binary64_20879`
21×	`associate-/r*_binary64_20823`
19×	`add-exp-log_binary64_20917`
13×	`add-cbrt-cube_binary64_20915`
11×	`associate-/r/_binary64_20825`
9×	`div-exp_binary64_20930` `associate-/l*_binary64_20824`
7×	`div-inv_binary64_20876` `flip3-+_binary64_20882` `flip-+_binary64_20853`
6×	`add-log-exp_binary64_20918`
5×	`pow1_binary64_20940` `cbrt-undiv_binary64_20913`
3×	`frac-2neg_binary64_20890` `clear-num_binary64_20878`
2×	`associate-/l/_binary64_20826` `1-exp_binary64_20923` `rec-exp_binary64_20929`
1×	`sum-log_binary64_20970` `+-commutative_binary64_20809` `inv-pow_binary64_20964` `pow-flip_binary64_20953`

Counts

4 → 153

Calls

4 calls:

13.0ms	(/.f64 1 (/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))))
13.0ms	(/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)))
10.0ms	(+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))
6.0ms	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)

Compiler

Compiled 5738 to 3171 computations (44.7% saved)

series2.4s (10.8%)

Error

6.4b

Counts

4 → 131

Calls

4 calls:

826.0ms	(/.f64 1 (/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))))
688.0ms	(/.f64 c (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)))
548.0ms	(+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))
225.0ms	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)

Compiler

Compiled 7398 to 5534 computations (25.2% saved)

simplify141.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

284 → 284

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4971	8743
1	4971	8743

prune352.0ms (1.6%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	280	4	284
Fresh	2	10	12
Picked	0	1	1
Done	0	1	1
Total	282	16	298

Error

6.4b

Counts

298 → 16

Compiler

Compiled 7756 to 3932 computations (49.3% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.7b	(+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))
1.6b	(/.f64 1 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)))
2.9b	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)
9.8b	(/.f64 (/.f64 1 c) (/.f64 1 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))))

rewrite971.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Error

6.4b

Rules

483×	`times-frac_binary64_20885`
230×	`add-cube-cbrt_binary64_20914` `add-sqr-sqrt_binary64_20901` `*-un-lft-identity_binary64_20879`
50×	`add-exp-log_binary64_20917`
35×	`div-exp_binary64_20930`
33×	`div-inv_binary64_20876`
31×	`associate-/r/_binary64_20825`
21×	`associate-/r*_binary64_20823`
20×	`add-cbrt-cube_binary64_20915`
19×	`associate-/l*_binary64_20824`
17×	`flip3-+_binary64_20882` `flip-+_binary64_20853`
10×	`cbrt-undiv_binary64_20913`
9×	`1-exp_binary64_20923` `rec-exp_binary64_20929`
6×	`add-log-exp_binary64_20918`
5×	`pow1_binary64_20940`
3×	`frac-2neg_binary64_20890` `clear-num_binary64_20878` `associate-/l/_binary64_20826`
1×	`inv-pow_binary64_20964` `pow-flip_binary64_20953` `sum-log_binary64_20970` `+-commutative_binary64_20809`

Counts

4 → 328

Calls

4 calls:

20.0ms	(/.f64 (/.f64 1 c) (/.f64 1 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))))
10.0ms	(/.f64 1 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)))
10.0ms	(+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))
5.0ms	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)

Compiler

Compiled 14749 to 8883 computations (39.8% saved)

series2.2s (9.7%)

Error

6.4b

Counts

4 → 128

Calls

4 calls:

832.0ms	(/.f64 (/.f64 1 c) (/.f64 1 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))))
533.0ms	(+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4))
477.0ms	(/.f64 1 (+.f64 (/.f64 (+.f64 b (.f64 9 (.f64 x y))) z) (.f64 (.f64 t a) -4)))
226.0ms	(/.f64 (+.f64 b (.f64 9 (.f64 x y))) z)

Compiler

Compiled 7375 to 5693 computations (22.8% saved)

simplify238.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

456 → 456

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4968	19327
1	4968	19327

prune948.0ms (4.2%)

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	455	1	456
Fresh	0	13	13
Picked	0	1	1
Done	0	2	2
Total	455	17	472

Error

6.4b

Counts

472 → 17

Compiler

Compiled 15021 to 8123 computations (45.9% saved)

regimes3.2s (14.2%)

Accuracy

Total 1.9b remaining (23.9%)

Threshold costs 0b (0%)

Compiler

Compiled 37096 to 32328 computations (12.9% saved)

bsearch107.0ms (0.5%)

Steps

Iters	Range		Point
8	2.752776925527033e-17	1.2179799241591052e-14	7.008154296215489e-17
9	-1.5421708727351198e-26	-5.001709400182343e-35	-1.027037544544275e-28

Compiler

Compiled 1 to 7 computations (-600% saved)

simplify55.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	110	70
1	110	70

Compiler

Compiled 282 to 216 computations (23.4% saved)

end0.0ms (0%)

sample4.8s (21.4%)

Algorithm

1×

intervals

Results

481.0ms	8000×	body	128	valid
291.0ms	4879×	body	128	invalid

Compiler

Compiled 3706 to 3155 computations (14.9% saved)

Details

analyze1.7s (7.7%)

sample72.0ms (0.3%)

simplify68.0ms (0.3%)

prune6.0ms (0%)

localize13.0ms (0.1%)

rewrite185.0ms (0.8%)

series1.7s (7.7%)

simplify98.0ms (0.4%)

prune203.0ms (0.9%)

localize15.0ms (0.1%)

rewrite177.0ms (0.8%)

series1.8s (8%)

simplify114.0ms (0.5%)

prune455.0ms (2%)

localize15.0ms (0.1%)

rewrite317.0ms (1.4%)

series2.4s (10.8%)

simplify141.0ms (0.6%)

prune352.0ms (1.6%)

localize17.0ms (0.1%)

rewrite971.0ms (4.4%)

series2.2s (9.7%)

simplify238.0ms (1.1%)

prune948.0ms (4.2%)

regimes3.2s (14.2%)

bsearch107.0ms (0.5%)

simplify55.0ms (0.2%)

end0.0ms (0%)

sample4.8s (21.4%)

Profiling