Details

analyze887.0ms (11.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
3.1%	71.7%	25.1%	9
4.7%	69.8%	25.5%	10
7%	66.9%	26.1%	11
10.9%	61.5%	27.6%	12
11.1%	47%	41.9%	13
12.8%	44.4%	42.8%	14

Compiler

Compiled 20 to 20 computations (0% saved)

sample63.0ms (0.8%)

Algorithm

1×

intervals

Results

22.0ms	333×	body	128	nan
18.0ms	256×	body	128	valid

Compiler

Compiled 39 to 43 computations (-10.3% saved)

simplify213.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	5398	20

prune6.0ms (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

Error

1.0b

Counts

2 → 1

Compiler

Compiled 32 to 32 computations (0% saved)

localize14.0ms (0.2%)

Local error

Found 8 expressions with local error:

2.9b	(.f64 (/.f64 (.f64 3 (/.f64 x (.f64 y 27))) (.f64 z 2)) (sqrt.f64 t))
1.0b	(.f64 (/.f64 1 3) (acos.f64 (.f64 (/.f64 (.f64 3 (/.f64 x (.f64 y 27))) (*.f64 z 2)) (sqrt.f64 t))))
0.2b	(.f64 3 (/.f64 x (.f64 y 27)))
0.2b	(/.f64 x (*.f64 y 27))
0.2b	(.f64 3 (/.f64 x (.f64 y 27)))
1.0b	(.f64 (/.f64 1 3) (acos.f64 (.f64 (/.f64 (.f64 3 (/.f64 x (.f64 y 27))) (*.f64 z 2)) (sqrt.f64 t))))
2.9b	(.f64 (/.f64 (.f64 3 (/.f64 x (.f64 y 27))) (.f64 z 2)) (sqrt.f64 t))
5.0b	(/.f64 (.f64 3 (/.f64 x (.f64 y 27))) (*.f64 z 2))

rewrite57.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

96×	`add-exp-log_binary64_20917`
92×	`add-cbrt-cube_binary64_20915`
41×	`prod-exp_binary64_20928`
39×	`cbrt-unprod_binary64_20912`
31×	`add-sqr-sqrt_binary64_20901`
28×	`div-exp_binary64_20930`
27×	`cbrt-undiv_binary64_20913`
21×	`associate-l_binary64_20820`
19×	`*-un-lft-identity_binary64_20879`
18×	`add-cube-cbrt_binary64_20914`
16×	`times-frac_binary64_20885` `associate-r_binary64_20819`
10×	`pow1_binary64_20940`
6×	`unswap-sqr_binary64_20847`
4×	`sqrt-prod_binary64_20895` `div-inv_binary64_20876` `add-log-exp_binary64_20918`
3×	`pow-prod-down_binary64_20950` `*-commutative_binary64_20810`
2×	`associate-r/_binary64_20821` `associate-l/_binary64_20822`
1×	`associate-/l_binary64_20824` `associate-/r_binary64_20823` `associate-/l/_binary64_20826` `rec-exp_binary64_20929` `frac-2neg_binary64_20890` `1-exp_binary64_20923` `clear-num_binary64_20878`

Counts

4 → 133

Calls

8 calls:

14.0ms	(.f64 (/.f64 (.f64 3 (/.f64 x (.f64 y 27))) (.f64 z 2)) (sqrt.f64 t))
12.0ms	(.f64 3 (/.f64 x (.f64 y 27)))
10.0ms	(/.f64 (.f64 3 (/.f64 x (.f64 y 27))) (*.f64 z 2))
7.0ms	(.f64 (/.f64 1 3) (acos.f64 (.f64 (/.f64 (.f64 3 (/.f64 x (.f64 y 27))) (*.f64 z 2)) (sqrt.f64 t))))
0.0ms	(/.f64 x (*.f64 y 27))

series555.0ms (7.3%)

Counts

4 → 39

Calls

4 calls:

236.0ms	(.f64 (/.f64 (.f64 3 (/.f64 x (.f64 y 27))) (.f64 z 2)) (sqrt.f64 t))
131.0ms	(.f64 (/.f64 1 3) (acos.f64 (.f64 (/.f64 (.f64 3 (/.f64 x (.f64 y 27))) (*.f64 z 2)) (sqrt.f64 t))))
128.0ms	(/.f64 (.f64 3 (/.f64 x (.f64 y 27))) (*.f64 z 2))
60.0ms	(.f64 3 (/.f64 x (.f64 y 27)))

Compiler

Compiled 1188 to 1174 computations (1.2% saved)

simplify107.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4933	3068
1	4933	3068

prune246.0ms (3.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	170	2	172
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	170	3	173

Error

Counts

173 → 3

Compiler

Compiled 3561 to 2490 computations (30.1% saved)

localize17.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.2b	(.f64 3/2 (/.f64 (/.f64 x (.f64 y 27)) z))
0.2b	(/.f64 x (*.f64 y 27))
0.0b	(/.f64 (acos.f64 (.f64 (.f64 3/2 (/.f64 (/.f64 x (*.f64 y 27)) z)) (sqrt.f64 t))) (cbrt.f64 3))
0.0b	(.f64 (/.f64 (sqrt.f64 1) (.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (.f64 (.f64 3/2 (/.f64 (/.f64 x (*.f64 y 27)) z)) (sqrt.f64 t))) (cbrt.f64 3)))
0.2b	(/.f64 x (*.f64 y 27))
0.2b	(.f64 3/2 (/.f64 (/.f64 x (.f64 y 27)) z))
2.9b	(.f64 (.f64 3/2 (/.f64 (/.f64 x (*.f64 y 27)) z)) (sqrt.f64 t))
5.0b	(/.f64 (/.f64 x (*.f64 y 27)) z)

rewrite58.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

67×	`times-frac_binary64_20885`
52×	`add-cbrt-cube_binary64_20915` `add-exp-log_binary64_20917`
44×	`add-sqr-sqrt_binary64_20901`
39×	`add-cube-cbrt_binary64_20914` `*-un-lft-identity_binary64_20879`
31×	`associate-r_binary64_20819`
17×	`div-exp_binary64_20930` `cbrt-undiv_binary64_20913` `prod-exp_binary64_20928` `cbrt-unprod_binary64_20912`
11×	`pow1_binary64_20940`
10×	`associate-/l*_binary64_20824` `div-inv_binary64_20876`
4×	`associate-l_binary64_20820` `associate-/r*_binary64_20823` `pow-prod-down_binary64_20950` `add-log-exp_binary64_20918`
3×	`sqrt-prod_binary64_20895`
2×	`frac-2neg_binary64_20890` `unswap-sqr_binary64_20847` `-commutative_binary64_20810` `clear-num_binary64_20878` `associate-r/_binary64_20821`
1×	`associate-/l/_binary64_20826` `associate-*l/_binary64_20822`

Counts

4 → 145

Calls

8 calls:

13.0ms	(.f64 3/2 (/.f64 (/.f64 x (.f64 y 27)) z))
12.0ms	(.f64 (.f64 3/2 (/.f64 (/.f64 x (*.f64 y 27)) z)) (sqrt.f64 t))
7.0ms	(/.f64 (/.f64 x (*.f64 y 27)) z)
4.0ms	(/.f64 x (*.f64 y 27))
0.0ms	(.f64 (/.f64 (sqrt.f64 1) (.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (.f64 (.f64 3/2 (/.f64 (/.f64 x (*.f64 y 27)) z)) (sqrt.f64 t))) (cbrt.f64 3)))

series576.0ms (7.6%)

Counts

4 → 36

Calls

4 calls:

236.0ms	(.f64 (.f64 3/2 (/.f64 (/.f64 x (*.f64 y 27)) z)) (sqrt.f64 t))
141.0ms	(.f64 3/2 (/.f64 (/.f64 x (.f64 y 27)) z))
141.0ms	(/.f64 (/.f64 x (*.f64 y 27)) z)
58.0ms	(/.f64 x (*.f64 y 27))

Compiler

Compiled 1758 to 1744 computations (0.8% saved)

simplify72.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5049	2545

prune331.0ms (4.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	181	0	181
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	181	3	184

Error

Counts

184 → 3

Compiler

Compiled 5217 to 3882 computations (25.6% saved)

localize16.0ms (0.2%)

Local error

Found 8 expressions with local error:

1.0b	(.f64 (/.f64 1 (sqrt.f64 3)) (/.f64 (acos.f64 (.f64 (.f64 3/2 (/.f64 (/.f64 x (.f64 y 27)) z)) (sqrt.f64 t))) (sqrt.f64 3)))
0.2b	(.f64 3/2 (/.f64 (/.f64 x (.f64 y 27)) z))
0.2b	(/.f64 x (*.f64 y 27))
0.0b	(/.f64 (acos.f64 (.f64 (.f64 3/2 (/.f64 (/.f64 x (*.f64 y 27)) z)) (sqrt.f64 t))) (sqrt.f64 3))
1.0b	(.f64 (/.f64 1 (sqrt.f64 3)) (/.f64 (acos.f64 (.f64 (.f64 3/2 (/.f64 (/.f64 x (.f64 y 27)) z)) (sqrt.f64 t))) (sqrt.f64 3)))
1.0b	(/.f64 1 (sqrt.f64 3))
2.9b	(.f64 (.f64 3/2 (/.f64 (/.f64 x (*.f64 y 27)) z)) (sqrt.f64 t))
5.0b	(/.f64 (/.f64 x (*.f64 y 27)) z)

rewrite72.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

109×	`add-sqr-sqrt_binary64_20901` `times-frac_binary64_20885`
69×	`*-un-lft-identity_binary64_20879`
63×	`add-cube-cbrt_binary64_20914`
59×	`add-exp-log_binary64_20917`
47×	`add-cbrt-cube_binary64_20915`
44×	`sqrt-prod_binary64_20895`
28×	`associate-r_binary64_20819`
23×	`associate-l_binary64_20820`
20×	`div-exp_binary64_20930`
19×	`prod-exp_binary64_20928`
15×	`cbrt-undiv_binary64_20913` `unswap-sqr_binary64_20847` `cbrt-unprod_binary64_20912`
13×	`pow1_binary64_20940`
10×	`associate-/l*_binary64_20824`
9×	`associate-/r*_binary64_20823`
8×	`div-inv_binary64_20876`
4×	`pow-prod-down_binary64_20950` `add-log-exp_binary64_20918`
3×	`rec-exp_binary64_20929` `1-exp_binary64_20923` `pow-flip_binary64_20953`
2×	`frac-2neg_binary64_20890` `-commutative_binary64_20810` `clear-num_binary64_20878` `associate-r/_binary64_20821` `associate-*l/_binary64_20822`
1×	`inv-pow_binary64_20964` `associate-/l/_binary64_20826` `pow1/2_binary64_20959` `sqrt-pow1_binary64_20897` `frac-times_binary64_20889`

Counts

4 → 204

Calls

8 calls:

23.0ms	(.f64 (/.f64 1 (sqrt.f64 3)) (/.f64 (acos.f64 (.f64 (.f64 3/2 (/.f64 (/.f64 x (.f64 y 27)) z)) (sqrt.f64 t))) (sqrt.f64 3)))
13.0ms	(.f64 (.f64 3/2 (/.f64 (/.f64 x (*.f64 y 27)) z)) (sqrt.f64 t))
7.0ms	(/.f64 (/.f64 x (*.f64 y 27)) z)
4.0ms	(/.f64 1 (sqrt.f64 3))
0.0ms	(/.f64 (acos.f64 (.f64 (.f64 3/2 (/.f64 (/.f64 x (*.f64 y 27)) z)) (sqrt.f64 t))) (sqrt.f64 3))

series674.0ms (8.9%)

Counts

4 → 33

Calls

4 calls:

305.0ms	(.f64 (/.f64 1 (sqrt.f64 3)) (/.f64 (acos.f64 (.f64 (.f64 3/2 (/.f64 (/.f64 x (.f64 y 27)) z)) (sqrt.f64 t))) (sqrt.f64 3)))
237.0ms	(.f64 (.f64 3/2 (/.f64 (/.f64 x (*.f64 y 27)) z)) (sqrt.f64 t))
131.0ms	(/.f64 (/.f64 x (*.f64 y 27)) z)
0.0ms	(/.f64 1 (sqrt.f64 3))

Compiler

Compiled 1260 to 1246 computations (1.1% saved)

simplify133.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

237 → 237

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4959	5003
1	4959	5003

prune381.0ms (5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	237	0	237
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	237	3	240

Error

Counts

240 → 3

Compiler

Compiled 6057 to 4299 computations (29% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	111	434
1	111	434

regimes349.0ms (4.6%)

Compiler: Compiled 2742 to 2912 computations (-6.2% saved)

bsearch0.0ms (0%)

regimes316.0ms (4.2%)

Compiler: Compiled 2038 to 2292 computations (-12.5% saved)

bsearch0.0ms (0%)

regimes223.0ms (2.9%)

Compiler: Compiled 1018 to 1272 computations (-25% saved)

bsearch0.0ms (0%)

regimes35.0ms (0.5%)

Accuracy

Total 0.3b remaining (84%)

Threshold costs 0.3b (84%)

Compiler

Compiled 20 to 92 computations (-360% saved)

bsearch4.0ms (0.1%)

Compiler: Compiled 55 to 59 computations (-7.3% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	86
1	38	86

end0.0ms (0%)

sample2.2s (28.5%)

Algorithm

1×

intervals

Results

673.0ms	10346×	body	128	nan
559.0ms	8000×	body	128	valid

Compiler

Compiled 349 to 364 computations (-4.3% saved)

Pareto

0.5796233850886293

Details

analyze887.0ms (11.7%)

sample63.0ms (0.8%)

simplify213.0ms (2.8%)

prune6.0ms (0.1%)

localize14.0ms (0.2%)

rewrite57.0ms (0.8%)

series555.0ms (7.3%)

simplify107.0ms (1.4%)

prune246.0ms (3.2%)

localize17.0ms (0.2%)

rewrite58.0ms (0.8%)

series576.0ms (7.6%)

simplify72.0ms (0.9%)

prune331.0ms (4.4%)

localize16.0ms (0.2%)

rewrite72.0ms (1%)

series674.0ms (8.9%)

simplify133.0ms (1.8%)

prune381.0ms (5%)

simplify7.0ms (0.1%)

regimes349.0ms (4.6%)

bsearch0.0ms (0%)

regimes316.0ms (4.2%)

bsearch0.0ms (0%)

regimes223.0ms (2.9%)

bsearch0.0ms (0%)

regimes35.0ms (0.5%)

bsearch4.0ms (0.1%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.2s (28.5%)

Profiling