Details

analyze2.2s (17.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.5%	0.5%	0
0%	99.5%	0.5%	1
0%	99.5%	0.5%	2
0%	99.5%	0.5%	3
0%	99.5%	0.5%	4
0%	99.5%	0.5%	5
0%	99.5%	0.5%	6
0%	99.5%	0.5%	7
0%	99.5%	0.5%	8
0%	99.5%	0.5%	9
0%	99.5%	0.5%	10
0%	99.5%	0.5%	11
0%	99.5%	0.5%	12
0%	99.5%	0.5%	13
0%	99.5%	0.5%	14

Compiler

Compiled 32 to 30 computations (6.3% saved)

sample81.0ms (0.7%)

Algorithm

1×

intervals

Results

25.0ms	256×	body	128	valid
20.0ms	255×	body	128	invalid

Compiler

Compiled 63 to 69 computations (-9.5% saved)

simplify525.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (427.0ms)

Iter	Nodes	Cost
0	3064	43
1	3064	43

prune9.0ms (0.1%)

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

3.9b

Counts

2 → 2

Compiler

Compiled 89 to 85 computations (4.5% saved)

localize25.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.0b	(-.f64 (.f64 (.f64 (.f64 (.f64 x 18) y) z) t) (.f64 (.f64 a 4) t))
0.0b	(+.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x 18) y) z) t) (.f64 (.f64 a 4) t)) (*.f64 b c))
0.0b	(-.f64 (-.f64 (+.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x 18) y) z) t) (.f64 (.f64 a 4) t)) (.f64 b c)) (.f64 (.f64 x 4) i)) (.f64 (*.f64 j 27) k))
0.0b	(-.f64 (+.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x 18) y) z) t) (.f64 (.f64 a 4) t)) (.f64 b c)) (.f64 (*.f64 x 4) i))
0.2b	(.f64 (.f64 x 18) y)
0.3b	(.f64 (.f64 j 27) k)
4.1b	(.f64 (.f64 (*.f64 x 18) y) z)
4.7b	(.f64 (.f64 (.f64 (.f64 x 18) y) z) t)

rewrite37.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`add-exp-log_binary64_21599` `add-cbrt-cube_binary64_21597` `pow1_binary64_21622`
22×	`cbrt-unprod_binary64_21594` `prod-exp_binary64_21610` `pow-prod-down_binary64_21632`
12×	`associate-r_binary64_21501`
8×	`add-sqr-sqrt_binary64_21583` `*-un-lft-identity_binary64_21561` `add-cube-cbrt_binary64_21596`
4×	`-commutative_binary64_21492` `associate-l*_binary64_21502` `add-log-exp_binary64_21600`

Counts

4 → 81

Calls

8 calls:

10.0ms	(.f64 (.f64 (.f64 (.f64 x 18) y) z) t)
7.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
5.0ms	(.f64 (.f64 x 18) y)
5.0ms	(.f64 (.f64 j 27) k)
0.0ms	(-.f64 (+.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x 18) y) z) t) (.f64 (.f64 a 4) t)) (.f64 b c)) (.f64 (*.f64 x 4) i))

series443.0ms (3.6%)

Counts

4 → 33

Calls

4 calls:

210.0ms	(.f64 (.f64 (.f64 (.f64 x 18) y) z) t)
115.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
62.0ms	(.f64 (.f64 j 27) k)
56.0ms	(.f64 (.f64 x 18) y)

Compiler

Compiled 2046 to 1914 computations (6.5% saved)

simplify80.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5354	1238

prune246.0ms (2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	104	10	114
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	106	10	116

Error

1.3b

Counts

116 → 10

Compiler

Compiled 4159 to 2570 computations (38.2% saved)

localize26.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.0b	(-.f64 (.f64 (.f64 (.f64 (.f64 x 18) y) z) t) (.f64 (.f64 a 4) t))
0.0b	(+.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x 18) y) z) t) (.f64 (.f64 a 4) t)) (*.f64 b c))
0.0b	(-.f64 (-.f64 (+.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x 18) y) z) t) (.f64 (.f64 a 4) t)) (.f64 b c)) (.f64 (.f64 x 4) i)) (.f64 j (*.f64 27 k)))
0.0b	(-.f64 (+.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x 18) y) z) t) (.f64 (.f64 a 4) t)) (.f64 b c)) (.f64 (*.f64 x 4) i))
0.2b	(.f64 (.f64 x 18) y)
0.3b	(.f64 j (.f64 27 k))
4.1b	(.f64 (.f64 (*.f64 x 18) y) z)
4.7b	(.f64 (.f64 (.f64 (.f64 x 18) y) z) t)

rewrite39.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`add-exp-log_binary64_21599` `add-cbrt-cube_binary64_21597` `pow1_binary64_21622`
22×	`cbrt-unprod_binary64_21594` `prod-exp_binary64_21610` `pow-prod-down_binary64_21632`
10×	`associate-r_binary64_21501`
8×	`add-sqr-sqrt_binary64_21583` `*-un-lft-identity_binary64_21561` `add-cube-cbrt_binary64_21596`
6×	`associate-l_binary64_21502`
4×	`*-commutative_binary64_21492` `add-log-exp_binary64_21600`

Counts

4 → 81

Calls

8 calls:

10.0ms	(.f64 (.f64 (.f64 (.f64 x 18) y) z) t)
7.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
5.0ms	(.f64 (.f64 x 18) y)
5.0ms	(.f64 j (.f64 27 k))
0.0ms	(-.f64 (+.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x 18) y) z) t) (.f64 (.f64 a 4) t)) (.f64 b c)) (.f64 (*.f64 x 4) i))

series457.0ms (3.7%)

Counts

4 → 33

Calls

4 calls:

212.0ms	(.f64 (.f64 (.f64 (.f64 x 18) y) z) t)
119.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
63.0ms	(.f64 j (.f64 27 k))
62.0ms	(.f64 (.f64 x 18) y)

Compiler

Compiled 2046 to 1914 computations (6.5% saved)

simplify76.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5179	1236

prune180.0ms (1.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	115	9	124

Error

1.3b

Counts

124 → 9

Compiler

Compiled 4087 to 2504 computations (38.7% saved)

localize25.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.0b	(-.f64 (.f64 (.f64 (.f64 x (.f64 18 y)) z) t) (.f64 (.f64 a 4) t))
0.0b	(+.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 18 y)) z) t) (.f64 (.f64 a 4) t)) (*.f64 b c))
0.0b	(-.f64 (-.f64 (+.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 18 y)) z) t) (.f64 (.f64 a 4) t)) (.f64 b c)) (.f64 (.f64 x 4) i)) (.f64 (*.f64 j 27) k))
0.0b	(-.f64 (+.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 18 y)) z) t) (.f64 (.f64 a 4) t)) (.f64 b c)) (.f64 (*.f64 x 4) i))
0.2b	(.f64 x (.f64 18 y))
0.3b	(.f64 (.f64 j 27) k)
4.1b	(.f64 (.f64 x (*.f64 18 y)) z)
4.7b	(.f64 (.f64 (.f64 x (.f64 18 y)) z) t)

rewrite41.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`add-exp-log_binary64_21599` `add-cbrt-cube_binary64_21597` `pow1_binary64_21622`
22×	`cbrt-unprod_binary64_21594` `prod-exp_binary64_21610` `pow-prod-down_binary64_21632`
10×	`associate-r_binary64_21501`
8×	`add-sqr-sqrt_binary64_21583` `*-un-lft-identity_binary64_21561` `add-cube-cbrt_binary64_21596`
6×	`associate-l_binary64_21502`
4×	`*-commutative_binary64_21492` `add-log-exp_binary64_21600`

Counts

4 → 81

Calls

8 calls:

11.0ms	(.f64 (.f64 (.f64 x (.f64 18 y)) z) t)
10.0ms	(.f64 (.f64 x (*.f64 18 y)) z)
5.0ms	(.f64 x (.f64 18 y))
5.0ms	(.f64 (.f64 j 27) k)
0.0ms	(-.f64 (+.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 18 y)) z) t) (.f64 (.f64 a 4) t)) (.f64 b c)) (.f64 (*.f64 x 4) i))

series441.0ms (3.5%)

Counts

4 → 33

Calls

4 calls:

206.0ms	(.f64 (.f64 (.f64 x (.f64 18 y)) z) t)
118.0ms	(.f64 (.f64 x (*.f64 18 y)) z)
59.0ms	(.f64 (.f64 j 27) k)
58.0ms	(.f64 x (.f64 18 y))

Compiler

Compiled 2046 to 1914 computations (6.5% saved)

simplify71.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5086	1239

prune176.0ms (1.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	114	9	123

Error

1.3b

Counts

123 → 9

Compiler

Compiled 4052 to 2474 computations (38.9% saved)

localize33.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.0b	(-.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x 18) y) z) (.f64 (cbrt.f64 t) (cbrt.f64 t))) (cbrt.f64 t)) (.f64 (.f64 a 4) t))
0.0b	(+.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x 18) y) z) (.f64 (cbrt.f64 t) (cbrt.f64 t))) (cbrt.f64 t)) (.f64 (.f64 a 4) t)) (*.f64 b c))
0.0b	(-.f64 (-.f64 (+.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x 18) y) z) (.f64 (cbrt.f64 t) (cbrt.f64 t))) (cbrt.f64 t)) (.f64 (.f64 a 4) t)) (.f64 b c)) (.f64 (.f64 x 4) i)) (.f64 (*.f64 j 27) k))
0.0b	(-.f64 (+.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x 18) y) z) (.f64 (cbrt.f64 t) (cbrt.f64 t))) (cbrt.f64 t)) (.f64 (.f64 a 4) t)) (.f64 b c)) (.f64 (*.f64 x 4) i))
0.6b	(cbrt.f64 t)
1.1b	(.f64 (.f64 (.f64 (.f64 (.f64 x 18) y) z) (.f64 (cbrt.f64 t) (cbrt.f64 t))) (cbrt.f64 t))
3.8b	(.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 (cbrt.f64 t) (cbrt.f64 t)))
4.1b	(.f64 (.f64 (*.f64 x 18) y) z)

rewrite61.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

87×	`add-exp-log_binary64_21599` `pow1_binary64_21622`
63×	`cbrt-unprod_binary64_21594` `prod-exp_binary64_21610` `pow-prod-down_binary64_21632`
62×	`add-cbrt-cube_binary64_21597`
10×	`associate-r_binary64_21501`
8×	`add-sqr-sqrt_binary64_21583` `*-un-lft-identity_binary64_21561` `add-cube-cbrt_binary64_21596`
6×	`cbrt-prod_binary64_21592`
4×	`add-log-exp_binary64_21600`
3×	`-commutative_binary64_21492` `associate-l*_binary64_21502`
1×	`pow1/3_binary64_21643`

Counts

4 → 108

Calls

8 calls:

20.0ms	(.f64 (.f64 (.f64 (.f64 (.f64 x 18) y) z) (.f64 (cbrt.f64 t) (cbrt.f64 t))) (cbrt.f64 t))
15.0ms	(.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 (cbrt.f64 t) (cbrt.f64 t)))
8.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
1.0ms	(cbrt.f64 t)
0.0ms	(+.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x 18) y) z) (.f64 (cbrt.f64 t) (cbrt.f64 t))) (cbrt.f64 t)) (.f64 (.f64 a 4) t)) (*.f64 b c))

series1.0s (8.3%)

Counts

4 → 36

Calls

4 calls:

590.0ms	(.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 (cbrt.f64 t) (cbrt.f64 t)))
240.0ms	(.f64 (.f64 (.f64 (.f64 (.f64 x 18) y) z) (.f64 (cbrt.f64 t) (cbrt.f64 t))) (cbrt.f64 t))
123.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
76.0ms	(cbrt.f64 t)

Compiler

Compiled 2604 to 2346 computations (9.9% saved)

simplify87.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4930	2023
1	4930	2023

prune255.0ms (2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	142	2	144
Fresh	1	5	6
Picked	1	0	1
Done	1	1	2
Total	145	8	153

Error

1.3b

Counts

153 → 8

Compiler

Compiled 5425 to 3026 computations (44.2% saved)

simplify26.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	678	1271
1	678	1271

regimes1.0s (8.4%)

Compiler: Compiled 13321 to 12625 computations (5.2% saved)

bsearch120.0ms (1%)

Steps

Iters	Range		Point
7	1.3366981473921972e+45	3.57632105069714e+46	1.1253632202570103e+46
9	-3.5154981742100734e+72	-8.98103738055012e+62	-1.842226735370642e+63

Compiler

Compiled 1 to 10 computations (-900% saved)

regimes428.0ms (3.4%)

Compiler: Compiled 2994 to 3584 computations (-19.7% saved)

bsearch128.0ms (1%)

Steps

Iters	Range		Point
7	1.3366981473921972e+45	3.57632105069714e+46	3.9810639633604385e+45
9	-3.5154981742100734e+72	-8.98103738055012e+62	-5.779099360287967e+67

Compiler

Compiled 1 to 10 computations (-900% saved)

regimes321.0ms (2.6%)

Compiler: Compiled 2498 to 3120 computations (-24.9% saved)

bsearch0.0ms (0%)

regimes206.0ms (1.7%)

Compiler: Compiled 930 to 1556 computations (-67.3% saved)

bsearch0.0ms (0%)

regimes104.0ms (0.8%)

Compiler: Compiled 50 to 530 computations (-960% saved)

bsearch0.0ms (0%)

regimes95.0ms (0.8%)

Accuracy

Total 2.3b remaining (67.5%)

Threshold costs 0b (0%)

Compiler

Compiled 40 to 420 computations (-950% saved)

bsearch13.0ms (0.1%)

Compiler: Compiled 264 to 221 computations (16.3% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	275	391
1	275	391

end0.0ms (0%)

sample3.3s (26.7%)

Algorithm

1×

intervals

Results

867.0ms	8132×	body	128	invalid
667.0ms	8000×	body	128	valid

Compiler

Compiled 1237 to 1099 computations (11.2% saved)

Pareto

0.260799324262376

Details

analyze2.2s (17.5%)

sample81.0ms (0.7%)

simplify525.0ms (4.2%)

prune9.0ms (0.1%)

localize25.0ms (0.2%)

rewrite37.0ms (0.3%)

series443.0ms (3.6%)

simplify80.0ms (0.6%)

prune246.0ms (2%)

localize26.0ms (0.2%)

rewrite39.0ms (0.3%)

series457.0ms (3.7%)

simplify76.0ms (0.6%)

prune180.0ms (1.4%)

localize25.0ms (0.2%)

rewrite41.0ms (0.3%)

series441.0ms (3.5%)

simplify71.0ms (0.6%)

prune176.0ms (1.4%)

localize33.0ms (0.3%)

rewrite61.0ms (0.5%)

series1.0s (8.3%)

simplify87.0ms (0.7%)

prune255.0ms (2%)

simplify26.0ms (0.2%)

regimes1.0s (8.4%)

bsearch120.0ms (1%)

regimes428.0ms (3.4%)

bsearch128.0ms (1%)

regimes321.0ms (2.6%)

bsearch0.0ms (0%)

regimes206.0ms (1.7%)

bsearch0.0ms (0%)

regimes104.0ms (0.8%)

bsearch0.0ms (0%)

regimes95.0ms (0.8%)

bsearch13.0ms (0.1%)

simplify8.0ms (0.1%)

end0.0ms (0%)

sample3.3s (26.7%)

Profiling