Details

analyze2.1s (25.1%)

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
0%	99.7%	0.3%	12
1.6%	98.1%	0.3%	13
2.3%	97.4%	0.3%	14

Compiler

Compiled 18 to 18 computations (0% saved)

sample60.0ms (0.7%)

Algorithm

1×

intervals

Results

25.0ms	256×	body	128	valid
8.0ms	81×	body	128	invalid

Compiler

Compiled 35 to 41 computations (-17.1% saved)

simplify223.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	788	25
1	788	25

prune5.0ms (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

2.6b

Counts

2 → 1

Compiler

Compiled 34 to 34 computations (0% saved)

localize32.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t)) (.f64 (.f64 a 27) b))
0.2b	(.f64 (.f64 y 9) z)
0.2b	(.f64 (.f64 a 27) b)
6.2b	(.f64 (.f64 (*.f64 y 9) z) t)

rewrite62.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-exp-log_binary64_12733` `pow1_binary64_12756` `add-cbrt-cube_binary64_12731`
12×	`prod-exp_binary64_12744` `pow-prod-down_binary64_12766` `cbrt-unprod_binary64_12728`
9×	`associate-r_binary64_12635` `add-log-exp_binary64_12734`
7×	`*-un-lft-identity_binary64_12695` `add-cube-cbrt_binary64_12730` `add-sqr-sqrt_binary64_12717`
3×	`associate-l_binary64_12636` `*-commutative_binary64_12626`
2×	`associate-+l+_binary64_12628` `sum-log_binary64_12786`
1×	`diff-log_binary64_12787` `cancel-sign-sub-inv_binary64_12661` `flip-+_binary64_12669` `flip3-+_binary64_12698` `sub-neg_binary64_12688` `+-commutative_binary64_12625` `associate-+l-_binary64_12630`

Counts

4 → 72

Calls

4 calls:

16.0ms	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t)) (.f64 (.f64 a 27) b))
14.0ms	(.f64 (.f64 (*.f64 y 9) z) t)
10.0ms	(.f64 (.f64 a 27) b)
10.0ms	(.f64 (.f64 y 9) z)

series245.0ms (2.9%)

Counts

4 → 12

Calls

4 calls:

177.0ms	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t)) (.f64 (.f64 a 27) b))
36.0ms	(.f64 (.f64 (*.f64 y 9) z) t)
16.0ms	(.f64 (.f64 y 9) z)
15.0ms	(.f64 (.f64 a 27) b)

simplify162.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (133.0ms)

Iter	Nodes	Cost
0	4978	1170
1	4978	1170

prune151.0ms (1.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	76	8	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	8	85

Error

0.0b

Counts

85 → 8

Compiler

Compiled 1923 to 1283 computations (33.3% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 y 9) (.f64 z t))) (.f64 (.f64 a 27) b))
0.2b	(.f64 (.f64 a 27) b)
5.0b	(.f64 (.f64 y 9) (*.f64 z t))

rewrite26.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-exp-log_binary64_12733` `pow1_binary64_12756` `add-cbrt-cube_binary64_12731`
11×	`prod-exp_binary64_12744` `pow-prod-down_binary64_12766` `cbrt-unprod_binary64_12728`
8×	`add-log-exp_binary64_12734`
4×	`-un-lft-identity_binary64_12695` `add-cube-cbrt_binary64_12730` `add-sqr-sqrt_binary64_12717` `associate-r*_binary64_12635`
2×	`associate-+l+_binary64_12628` `associate-l_binary64_12636` `*-commutative_binary64_12626` `sum-log_binary64_12786`
1×	`diff-log_binary64_12787` `cancel-sign-sub-inv_binary64_12661` `flip-+_binary64_12669` `flip3-+_binary64_12698` `sub-neg_binary64_12688` `+-commutative_binary64_12625` `associate-+l-_binary64_12630`

Counts

3 → 55

Calls

3 calls:

8.0ms	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 y 9) (.f64 z t))) (.f64 (.f64 a 27) b))
7.0ms	(.f64 (.f64 a 27) b)
7.0ms	(.f64 (.f64 y 9) (*.f64 z t))

series246.0ms (2.9%)

Counts

3 → 9

Calls

3 calls:

196.0ms	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 y 9) (.f64 z t))) (.f64 (.f64 a 27) b))
32.0ms	(.f64 (.f64 y 9) (*.f64 z t))
17.0ms	(.f64 (.f64 a 27) b)

simplify80.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4930	1000
1	4930	1000

prune73.0ms (0.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	65	7	72

Error

0.0b

Counts

72 → 7

Compiler

Compiled 1495 to 924 computations (38.2% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 x 2) (.f64 y (.f64 9 (.f64 z t)))) (.f64 (.f64 a 27) b))
0.2b	(.f64 (.f64 a 27) b)
0.2b	(.f64 9 (.f64 z t))
4.9b	(.f64 y (.f64 9 (*.f64 z t)))

rewrite34.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-exp-log_binary64_12733` `pow1_binary64_12756` `add-cbrt-cube_binary64_12731`
12×	`prod-exp_binary64_12744` `pow-prod-down_binary64_12766` `cbrt-unprod_binary64_12728`
9×	`add-log-exp_binary64_12734`
7×	`-un-lft-identity_binary64_12695` `associate-l*_binary64_12636` `add-cube-cbrt_binary64_12730` `add-sqr-sqrt_binary64_12717`
5×	`associate-r_binary64_12635`
3×	`*-commutative_binary64_12626`
2×	`associate-+l+_binary64_12628` `sum-log_binary64_12786`
1×	`diff-log_binary64_12787` `cancel-sign-sub-inv_binary64_12661` `flip-+_binary64_12669` `flip3-+_binary64_12698` `sub-neg_binary64_12688` `+-commutative_binary64_12625` `associate-+l-_binary64_12630`

Counts

4 → 72

Calls

4 calls:

11.0ms	(+.f64 (-.f64 (.f64 x 2) (.f64 y (.f64 9 (.f64 z t)))) (.f64 (.f64 a 27) b))
7.0ms	(.f64 y (.f64 9 (*.f64 z t)))
5.0ms	(.f64 9 (.f64 z t))
5.0ms	(.f64 (.f64 a 27) b)

series270.0ms (3.2%)

Counts

4 → 12

Calls

4 calls:

204.0ms	(+.f64 (-.f64 (.f64 x 2) (.f64 y (.f64 9 (.f64 z t)))) (.f64 (.f64 a 27) b))
30.0ms	(.f64 y (.f64 9 (*.f64 z t)))
21.0ms	(.f64 (.f64 a 27) b)
15.0ms	(.f64 9 (.f64 z t))

simplify155.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (126.0ms)

Iter	Nodes	Cost
0	4956	1164
1	4956	1164

prune152.0ms (1.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	84	7	91

Error

0.0b

Counts

91 → 7

Compiler

Compiled 1884 to 1162 computations (38.3% saved)

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t)) (.f64 a (.f64 27 b)))
0.2b	(.f64 (.f64 y 9) z)
0.2b	(.f64 a (.f64 27 b))
6.2b	(.f64 (.f64 (*.f64 y 9) z) t)

rewrite45.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-exp-log_binary64_12733` `pow1_binary64_12756` `add-cbrt-cube_binary64_12731`
12×	`prod-exp_binary64_12744` `pow-prod-down_binary64_12766` `cbrt-unprod_binary64_12728`
9×	`add-log-exp_binary64_12734`
7×	`-un-lft-identity_binary64_12695` `add-cube-cbrt_binary64_12730` `add-sqr-sqrt_binary64_12717` `associate-r*_binary64_12635`
5×	`associate-l_binary64_12636`
3×	`*-commutative_binary64_12626`
2×	`associate-+l+_binary64_12628` `sum-log_binary64_12786`
1×	`diff-log_binary64_12787` `cancel-sign-sub-inv_binary64_12661` `flip-+_binary64_12669` `flip3-+_binary64_12698` `sub-neg_binary64_12688` `+-commutative_binary64_12625` `associate-+l-_binary64_12630`

Counts

4 → 72

Calls

4 calls:

12.0ms	(.f64 (.f64 (*.f64 y 9) z) t)
10.0ms	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t)) (.f64 a (.f64 27 b)))
9.0ms	(.f64 a (.f64 27 b))
8.0ms	(.f64 (.f64 y 9) z)

series282.0ms (3.4%)

Counts

4 → 12

Calls

4 calls:

224.0ms	(+.f64 (-.f64 (.f64 x 2) (.f64 (.f64 (.f64 y 9) z) t)) (.f64 a (.f64 27 b)))
28.0ms	(.f64 (.f64 (*.f64 y 9) z) t)
16.0ms	(.f64 a (.f64 27 b))
15.0ms	(.f64 (.f64 y 9) z)

simplify107.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4957	1168
1	4957	1168

prune90.0ms (1.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	82	9	91

Error

0.0b

Counts

91 → 9

Compiler

Compiled 1752 to 1127 computations (35.7% saved)

regimes1.5s (17.2%)

Accuracy

Total 2.0b remaining (98.3%)

Threshold costs 0b (0%)

Compiler

Compiled 8393 to 7735 computations (7.8% saved)

bsearch141.0ms (1.7%)

Steps

Iters	Range	Point
8	2.559110503804145e+160	1.6492982670545787e+165	1.5056049044643378e+165
10	2.4750176103905176e-51	2.6590927854759487e-39	2.451754651692352e-43
7	-1.8032485388578943e+134	-1.6905979311095565e+132	-2.1950821646848057e+133

Iters

Range

Point

2.559110503804145e+160

1.6492982670545787e+165

1.5056049044643378e+165

2.4750176103905176e-51

2.6590927854759487e-39

2.451754651692352e-43

-1.8032485388578943e+134

-1.6905979311095565e+132

-2.1950821646848057e+133

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	131	95
1	131	95

end0.0ms (0%)

sample2.2s (25.7%)

Algorithm

1×

intervals

Results

578.0ms	8000×	body	128	valid
225.0ms	2969×	body	128	invalid

Compiler

Compiled 602 to 538 computations (10.6% saved)

Details

analyze2.1s (25.1%)

sample60.0ms (0.7%)

simplify223.0ms (2.6%)

prune5.0ms (0.1%)

localize32.0ms (0.4%)

rewrite62.0ms (0.7%)

series245.0ms (2.9%)

simplify162.0ms (1.9%)

prune151.0ms (1.8%)

localize12.0ms (0.1%)

rewrite26.0ms (0.3%)

series246.0ms (2.9%)

simplify80.0ms (0.9%)

prune73.0ms (0.9%)

localize13.0ms (0.2%)

rewrite34.0ms (0.4%)

series270.0ms (3.2%)

simplify155.0ms (1.8%)

prune152.0ms (1.8%)

localize28.0ms (0.3%)

rewrite45.0ms (0.5%)

series282.0ms (3.4%)

simplify107.0ms (1.3%)

prune90.0ms (1.1%)

regimes1.5s (17.2%)

bsearch141.0ms (1.7%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample2.2s (25.7%)

Profiling