Details

analyze2.2s (20.7%)

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)

sample87.0ms (0.8%)

Algorithm

1×

intervals

Results

27.0ms	256×	body	80	valid
23.0ms	265×	body	80	invalid

Compiler

Compiled 63 to 69 computations (-9.5% saved)

simplify422.0ms (4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (412.0ms)

Iter	Nodes	Cost
0	3065	43
1	3065	43

prune12.0ms (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: 5.9b

Counts

2 → 1

Compiler

Compiled 60 to 57 computations (5% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 x 18) y)
0.5b	(.f64 (.f64 j 27) k)
6.1b	(.f64 (.f64 (*.f64 x 18) y) z)
6.1b	(.f64 (.f64 (.f64 (.f64 x 18) y) z) t)

rewrite35.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
22×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
12×	`associate-r_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 81

Calls

4 calls:

13.0ms	(.f64 (.f64 (.f64 (.f64 x 18) y) z) t)
8.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
6.0ms	(.f64 (.f64 x 18) y)
6.0ms	(.f64 (.f64 j 27) k)

series27.0ms (0.3%)

Counts

4 → 12

Calls

4 calls:

12.0ms	(.f64 (.f64 (.f64 (.f64 x 18) y) z) t)
7.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
4.0ms	(.f64 (.f64 j 27) k)
4.0ms	(.f64 (.f64 x 18) y)

simplify88.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5471	998

prune168.0ms (1.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	83	10	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	10	94

Merged error: 0.7b

Counts

94 → 10

Compiler

Compiled 3478 to 2180 computations (37.3% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (-.f64 (.f64 (.f64 (.f64 x 18) (.f64 y z)) t) (.f64 (.f64 a 4) t)) (.f64 b c)) (.f64 (*.f64 x 4) i))
0.5b	(.f64 (.f64 j 27) k)
4.2b	(.f64 (.f64 x 18) (*.f64 y z))
6.1b	(.f64 (.f64 (.f64 x 18) (.f64 y z)) t)

rewrite44.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
24×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
13×	`add-log-exp_binary64`
7×	`associate-r_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`diff-log_binary64`
3×	`associate-l_binary64` `*-commutative_binary64`
2×	`sum-log_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `associate--l-_binary64` `associate-+l-_binary64` `flip--_binary64` `associate--l+_binary64`

Counts

4 → 82

Calls

4 calls:

16.0ms	(-.f64 (+.f64 (-.f64 (.f64 (.f64 (.f64 x 18) (.f64 y z)) t) (.f64 (.f64 a 4) t)) (.f64 b c)) (.f64 (*.f64 x 4) i))
12.0ms	(.f64 (.f64 (.f64 x 18) (.f64 y z)) t)
7.0ms	(.f64 (.f64 x 18) (*.f64 y z))
5.0ms	(.f64 (.f64 j 27) k)

series164.0ms (1.6%)

Counts

4 → 12

Calls

4 calls:

140.0ms	(-.f64 (+.f64 (-.f64 (.f64 (.f64 (.f64 x 18) (.f64 y z)) t) (.f64 (.f64 a 4) t)) (.f64 b c)) (.f64 (*.f64 x 4) i))
12.0ms	(.f64 (.f64 (.f64 x 18) (.f64 y z)) t)
7.0ms	(.f64 (.f64 x 18) (*.f64 y z))
4.0ms	(.f64 (.f64 j 27) k)

simplify120.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4957	1581
1	4957	1581

prune148.0ms (1.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	89	5	94
Fresh	5	4	9
Picked	1	0	1
Done	0	0	0
Total	95	9	104

Merged error: 0.0b

Counts

104 → 9

Compiler

Compiled 3570 to 2127 computations (40.4% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (-.f64 (.f64 (.f64 x 18) (.f64 (.f64 y z) t)) (.f64 (.f64 a 4) t)) (.f64 b c)) (.f64 (*.f64 x 4) i))
0.5b	(.f64 (.f64 j 27) k)
4.4b	(.f64 (.f64 y z) t)
5.0b	(.f64 (.f64 x 18) (.f64 (.f64 y z) t))

rewrite39.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
21×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
13×	`add-log-exp_binary64`
7×	`associate-r_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`diff-log_binary64`
3×	`associate-l_binary64` `*-commutative_binary64`
2×	`sum-log_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `associate--l-_binary64` `associate-+l-_binary64` `flip--_binary64` `associate--l+_binary64`

Counts

4 → 79

Calls

4 calls:

16.0ms	(-.f64 (+.f64 (-.f64 (.f64 (.f64 x 18) (.f64 (.f64 y z) t)) (.f64 (.f64 a 4) t)) (.f64 b c)) (.f64 (*.f64 x 4) i))
10.0ms	(.f64 (.f64 x 18) (.f64 (.f64 y z) t))
6.0ms	(.f64 (.f64 y z) t)
5.0ms	(.f64 (.f64 j 27) k)

series163.0ms (1.6%)

Counts

4 → 12

Calls

4 calls:

139.0ms	(-.f64 (+.f64 (-.f64 (.f64 (.f64 x 18) (.f64 (.f64 y z) t)) (.f64 (.f64 a 4) t)) (.f64 b c)) (.f64 (*.f64 x 4) i))
14.0ms	(.f64 (.f64 x 18) (.f64 (.f64 y z) t))
6.0ms	(.f64 (.f64 y z) t)
4.0ms	(.f64 (.f64 j 27) k)

simplify114.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4962	1492
1	4962	1492

prune128.0ms (1.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	91	9	100

Merged error: 0.0b

Counts

100 → 9

Compiler

Compiled 3435 to 1962 computations (42.9% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (-.f64 (.f64 (.f64 (.f64 x 18) (.f64 y z)) t) (.f64 (.f64 a 4) t)) (.f64 b c)) (.f64 (*.f64 x 4) i))
0.3b	(.f64 j (.f64 27 k))
4.2b	(.f64 (.f64 x 18) (*.f64 y z))
6.1b	(.f64 (.f64 (.f64 x 18) (.f64 y z)) t)

rewrite43.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
24×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
13×	`add-log-exp_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
5×	`associate-r_binary64` `associate-l_binary64`
4×	`diff-log_binary64`
3×	`*-commutative_binary64`
2×	`sum-log_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `associate--l-_binary64` `associate-+l-_binary64` `flip--_binary64` `associate--l+_binary64`

Counts

4 → 82

Calls

4 calls:

18.0ms	(-.f64 (+.f64 (-.f64 (.f64 (.f64 (.f64 x 18) (.f64 y z)) t) (.f64 (.f64 a 4) t)) (.f64 b c)) (.f64 (*.f64 x 4) i))
10.0ms	(.f64 (.f64 (.f64 x 18) (.f64 y z)) t)
7.0ms	(.f64 (.f64 x 18) (*.f64 y z))
5.0ms	(.f64 j (.f64 27 k))

series164.0ms (1.6%)

Counts

4 → 12

Calls

4 calls:

141.0ms	(-.f64 (+.f64 (-.f64 (.f64 (.f64 (.f64 x 18) (.f64 y z)) t) (.f64 (.f64 a 4) t)) (.f64 b c)) (.f64 (*.f64 x 4) i))
12.0ms	(.f64 (.f64 (.f64 x 18) (.f64 y z)) t)
7.0ms	(.f64 (.f64 x 18) (*.f64 y z))
4.0ms	(.f64 j (.f64 27 k))

simplify121.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	4962	1579
1	4962	1579

prune104.0ms (1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	92	2	94
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	94	9	103

Merged error: 0.0b

Counts

103 → 9

Compiler

Compiled 3255 to 1843 computations (43.4% saved)

regimes1.9s (17.7%)

Compiler: Compiled 5468 to 4936 computations (9.7% saved)

bsearch84.0ms (0.8%)

Steps

Iters	Range		Point
7	2.2446715024707894e-142	3.622399647597689e-141	2.444747852939498e-141
7	-1.7956316922814032e+58	-2.249793311489222e+56	-2.297939588682779e+56

Compiler

Compiled 1 to 10 computations (-900% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	186	106
1	186	106

end0.0ms (0%)

sample4.1s (39%)

Algorithm

1×

intervals

Results

726.0ms	8000×	body	80	valid
716.0ms	8188×	body	80	invalid

Compiler

Compiled 556 to 455 computations (18.2% saved)

Details

analyze2.2s (20.7%)

sample87.0ms (0.8%)

simplify422.0ms (4%)

prune12.0ms (0.1%)

localize21.0ms (0.2%)

rewrite35.0ms (0.3%)

series27.0ms (0.3%)

simplify88.0ms (0.8%)

prune168.0ms (1.6%)

localize22.0ms (0.2%)

rewrite44.0ms (0.4%)

series164.0ms (1.6%)

simplify120.0ms (1.1%)

prune148.0ms (1.4%)

localize21.0ms (0.2%)

rewrite39.0ms (0.4%)

series163.0ms (1.6%)

simplify114.0ms (1.1%)

prune128.0ms (1.2%)

localize21.0ms (0.2%)

rewrite43.0ms (0.4%)

series164.0ms (1.6%)

simplify121.0ms (1.1%)

prune104.0ms (1%)

regimes1.9s (17.7%)

bsearch84.0ms (0.8%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample4.1s (39%)

Profiling