Details

analyze423.0ms (4.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
35.9%	55.4%	8.7%	10
42.9%	47.6%	9.5%	11
51.5%	38.2%	10.3%	12
55%	30%	15%	13
59.5%	25.3%	15.3%	14

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample22.0ms (0.2%)

Algorithm

1×

intervals

Results

9.0ms	230×	body	128	valid
1.0ms	11×	body	1024	valid
1.0ms	22×	body	128	invalid
1.0ms	8×	body	512	valid
0.0ms	7×	body	256	valid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify372.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (206.0ms)

Iter	Nodes	Cost
0	2399	16
1	2399	16

prune5.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.4b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 2/3 z)
0.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
0.0b	(*.f64 (-.f64 y x) 6)
0.4b	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))

rewrite36.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_11219`
13×	`*-un-lft-identity_binary64_11198`
11×	`add-exp-log_binary64_11233` `add-cbrt-cube_binary64_11231` `pow1_binary64_11256`
10×	`associate-*l/_binary64_11143`
8×	`add-log-exp_binary64_11234` `associate-r_binary64_11140` `flip--_binary64_11173` `flip3--_binary64_11202`
7×	`add-cube-cbrt_binary64_11230`
6×	`associate-l_binary64_11141`
5×	`sub-neg_binary64_11191`
4×	`prod-exp_binary64_11244` `frac-times_binary64_11208` `pow-prod-down_binary64_11266` `cbrt-unprod_binary64_11228`
3×	`difference-of-squares_binary64_11167` `distribute-lft-out--_binary64_11152`
2×	`distribute-rgt-in_binary64_11150` `associate-+r+_binary64_11132` `distribute-lft-in_binary64_11149` `associate-r/_binary64_11142` `-commutative_binary64_11131`
1×	`+-commutative_binary64_11130` `sum-log_binary64_11286` `flip3-+_binary64_11201` `unswap-sqr_binary64_11166` `diff-log_binary64_11287` `flip-+_binary64_11172`

Counts

4 → 78

Calls

4 calls:

13.0ms	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))
8.0ms	(*.f64 (-.f64 y x) 6)
5.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
4.0ms	(-.f64 2/3 z)

series250.0ms (2.6%)

Counts

4 → 12

Calls

4 calls:

98.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))
77.0ms	(.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))
44.0ms	(*.f64 (-.f64 y x) 6)
30.0ms	(-.f64 2/3 z)

simplify61.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5679	1296

prune118.0ms (1.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	79	11	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	11	91

Merged error: 0.0b

Counts

91 → 11

Compiler

Compiled 1744 to 1062 computations (39.1% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 x (.f64 (-.f64 y x) 4)) (.f64 (neg.f64 z) (*.f64 (-.f64 y x) 6)))
0.0b	(*.f64 (-.f64 y x) 6)
0.0b	(+.f64 x (*.f64 (-.f64 y x) 4))
0.3b	(.f64 (neg.f64 z) (.f64 (-.f64 y x) 6))

rewrite45.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`associate-l_binary64_11141`
13×	`add-sqr-sqrt_binary64_11219`
11×	`add-exp-log_binary64_11233` `add-log-exp_binary64_11234` `add-cbrt-cube_binary64_11231` `pow1_binary64_11256` `*-un-lft-identity_binary64_11198`
9×	`add-cube-cbrt_binary64_11230`
8×	`associate-*l/_binary64_11143`
6×	`associate-*r/_binary64_11142`
4×	`frac-add_binary64_11206` `prod-exp_binary64_11244` `sum-log_binary64_11286` `associate-r_binary64_11140` `flip--_binary64_11173` `pow-prod-down_binary64_11266` `flip3-+_binary64_11201` `flip3--_binary64_11202` `cbrt-unprod_binary64_11228` `flip-+_binary64_11172`
3×	`distribute-rgt-neg-in_binary64_11158` `distribute-lft-neg-in_binary64_11157`
2×	`+-commutative_binary64_11130` `distribute-lft-neg-out_binary64_11159` `*-commutative_binary64_11131`
1×	`neg-mul-1_binary64_11194` `difference-of-squares_binary64_11167` `distribute-lft-out--_binary64_11152` `unsub-neg_binary64_11192` `unswap-sqr_binary64_11166` `associate-+l+_binary64_11133`

Counts

4 → 79

Calls

4 calls:

14.0ms	(+.f64 (+.f64 x (.f64 (-.f64 y x) 4)) (.f64 (neg.f64 z) (*.f64 (-.f64 y x) 6)))
10.0ms	(.f64 (neg.f64 z) (.f64 (-.f64 y x) 6))
8.0ms	(*.f64 (-.f64 y x) 6)
4.0ms	(+.f64 x (*.f64 (-.f64 y x) 4))

series275.0ms (2.9%)

Counts

4 → 12

Calls

4 calls:

102.0ms	(+.f64 (+.f64 x (.f64 (-.f64 y x) 4)) (.f64 (neg.f64 z) (*.f64 (-.f64 y x) 6)))
84.0ms	(.f64 (neg.f64 z) (.f64 (-.f64 y x) 6))
48.0ms	(+.f64 x (*.f64 (-.f64 y x) 4))
41.0ms	(*.f64 (-.f64 y x) 6)

simplify80.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4964	1544
1	4964	1544

prune114.0ms (1.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	87	4	91
Fresh	4	6	10
Picked	0	1	1
Done	0	0	0
Total	91	11	102

Merged error: 0.0b

Counts

102 → 11

Compiler

Compiled 2271 to 1181 computations (48% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 x (.f64 (-.f64 y x) 4)) (.f64 (*.f64 (neg.f64 z) (-.f64 y x)) 6))
0.0b	(*.f64 (neg.f64 z) (-.f64 y x))
0.0b	(+.f64 x (*.f64 (-.f64 y x) 4))
0.3b	(.f64 (.f64 (neg.f64 z) (-.f64 y x)) 6)

rewrite41.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_11219`
11×	`add-exp-log_binary64_11233` `add-log-exp_binary64_11234` `add-cbrt-cube_binary64_11231` `pow1_binary64_11256` `associate-l_binary64_11141` `*-un-lft-identity_binary64_11198`
9×	`add-cube-cbrt_binary64_11230`
8×	`associate-r_binary64_11140` `associate-*r/_binary64_11142`
6×	`associate-*l/_binary64_11143`
5×	`distribute-lft-neg-out_binary64_11159`
4×	`frac-add_binary64_11206` `prod-exp_binary64_11244` `sum-log_binary64_11286` `flip--_binary64_11173` `pow-prod-down_binary64_11266` `flip3-+_binary64_11201` `flip3--_binary64_11202` `cbrt-unprod_binary64_11228` `flip-+_binary64_11172`
3×	`distribute-rgt-neg-in_binary64_11158` `distribute-lft-neg-in_binary64_11157`
2×	`+-commutative_binary64_11130` `sub-neg_binary64_11191` `*-commutative_binary64_11131`
1×	`neg-mul-1_binary64_11194` `difference-of-squares_binary64_11167` `distribute-rgt-in_binary64_11150` `distribute-lft-out--_binary64_11152` `unsub-neg_binary64_11192` `distribute-lft-in_binary64_11149` `unswap-sqr_binary64_11166` `associate-+l+_binary64_11133`

Counts

4 → 82

Calls

4 calls:

10.0ms	(.f64 (.f64 (neg.f64 z) (-.f64 y x)) 6)
10.0ms	(*.f64 (neg.f64 z) (-.f64 y x))
9.0ms	(+.f64 (+.f64 x (.f64 (-.f64 y x) 4)) (.f64 (*.f64 (neg.f64 z) (-.f64 y x)) 6))
4.0ms	(+.f64 x (*.f64 (-.f64 y x) 4))

series296.0ms (3.1%)

Counts

4 → 12

Calls

4 calls:

90.0ms	(+.f64 (+.f64 x (.f64 (-.f64 y x) 4)) (.f64 (*.f64 (neg.f64 z) (-.f64 y x)) 6))
86.0ms	(.f64 (.f64 (neg.f64 z) (-.f64 y x)) 6)
67.0ms	(*.f64 (neg.f64 z) (-.f64 y x))
53.0ms	(+.f64 x (*.f64 (-.f64 y x) 4))

simplify82.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5310	1560

prune104.0ms (1.1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	94	11	105

Merged error: 0.0b

Counts

105 → 11

Compiler

Compiled 2289 to 1128 computations (50.7% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))) (cbrt.f64 (+.f64 x (.f64 (*.f64 (-.f64 y x) 6) (-.f64 2/3 z)))))
0.5b	(cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))))
0.5b	(cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))))
0.5b	(cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))))

rewrite37.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_11226`
23×	`add-sqr-sqrt_binary64_11219`
18×	`cbrt-div_binary64_11227`
15×	`add-cube-cbrt_binary64_11230` `*-un-lft-identity_binary64_11198`
11×	`pow1_binary64_11256`
9×	`pow1/3_binary64_11277` `flip3-+_binary64_11201` `flip-+_binary64_11172`
6×	`add-exp-log_binary64_11233` `swap-sqr_binary64_11165` `associate-r_binary64_11140` `associate-l_binary64_11141`
4×	`add-log-exp_binary64_11234` `add-cbrt-cube_binary64_11231` `frac-times_binary64_11208` `unswap-sqr_binary64_11166`
2×	`pow-prod-up_binary64_11265` `associate-l/_binary64_11143` `pow-sqr_binary64_11171` `pow-prod-down_binary64_11266` `associate-r/_binary64_11142`
1×	`pow2_binary64_11276` `prod-exp_binary64_11244` `pow-plus_binary64_11258` `cbrt-unprod_binary64_11228` `*-commutative_binary64_11131`

Counts

4 → 87

Calls

4 calls:

12.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))) (cbrt.f64 (+.f64 x (.f64 (*.f64 (-.f64 y x) 6) (-.f64 2/3 z)))))
4.0ms	(cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))))
4.0ms	(cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))))
3.0ms	(cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))))

series5.7s (60.2%)

Counts

4 → 12

Calls

4 calls:

2.6s	(.f64 (cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z)))) (cbrt.f64 (+.f64 x (.f64 (*.f64 (-.f64 y x) 6) (-.f64 2/3 z)))))
1.1s	(cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))))
1.0s	(cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))))
1.0s	(cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6) (-.f64 2/3 z))))

simplify136.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	4881	3326
1	4881	3326

prune224.0ms (2.4%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	2	6	8
Picked	0	1	1
Done	0	2	2
Total	98	12	110

Merged error: 0.0b

Counts

110 → 12

Compiler

Compiled 4700 to 2950 computations (37.2% saved)

regimes104.0ms (1.1%)

Compiler: Compiled 1161 to 855 computations (26.4% saved)

bsearch0.0ms (0%)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	181	22
1	181	22

end0.0ms (0%)

sample911.0ms (9.6%)

Algorithm

1×

intervals

Results

282.0ms	7324×	body	128	valid
32.0ms	239×	body	1024	valid
27.0ms	265×	body	512	valid
26.0ms	604×	body	128	invalid
19.0ms	172×	body	256	valid

Compiler

Compiled 414 to 306 computations (26.1% saved)

Details

analyze423.0ms (4.4%)

sample22.0ms (0.2%)

simplify372.0ms (3.9%)

prune5.0ms (0.1%)

localize13.0ms (0.1%)

rewrite36.0ms (0.4%)

series250.0ms (2.6%)

simplify61.0ms (0.6%)

prune118.0ms (1.2%)

localize11.0ms (0.1%)

rewrite45.0ms (0.5%)

series275.0ms (2.9%)

simplify80.0ms (0.8%)

prune114.0ms (1.2%)

localize10.0ms (0.1%)

rewrite41.0ms (0.4%)

series296.0ms (3.1%)

simplify82.0ms (0.9%)

prune104.0ms (1.1%)

localize18.0ms (0.2%)

rewrite37.0ms (0.4%)

series5.7s (60.2%)

simplify136.0ms (1.4%)

prune224.0ms (2.4%)

regimes104.0ms (1.1%)

bsearch0.0ms (0%)

simplify10.0ms (0.1%)

end0.0ms (0%)

sample911.0ms (9.6%)

Profiling