Details

analyze62.0ms (1.8%)

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
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
50%	37.5%	12.6%	7
56.2%	31.2%	12.6%	8
62.4%	18.7%	18.8%	9
65.6%	15.6%	18.8%	10
68.7%	9.4%	22%	11
70.2%	7.8%	22%	12
71.8%	4.7%	23.5%	13
72.6%	3.9%	23.5%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample12.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	8×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify182.0ms (5.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	250	10
1	250	10

prune2.0ms (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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.1b	(.f64 (.f64 x y) (-.f64 1 y))

rewrite12.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64_423` `add-sqr-sqrt_binary64_445`
6×	`cancel-sign-sub-inv_binary64_389` `pow1_binary64_484` `associate-r_binary64_363` `add-exp-log_binary64_461` `add-cbrt-cube_binary64_459`
4×	`distribute-rgt-in_binary64_373` `distribute-lft-in_binary64_372` `add-cube-cbrt_binary64_458`
3×	`pow-prod-down_binary64_494` `prod-exp_binary64_472` `cbrt-unprod_binary64_456`
2×	`sub-neg_binary64_416` `associate-*r/_binary64_365` `difference-of-squares_binary64_392`
1×	`associate-l_binary64_364` `flip3--_binary64_427` `*-commutative_binary64_354` `distribute-lft-out--_binary64_375` `add-log-exp_binary64_462` `flip--_binary64_398`

Counts

1 → 31

Calls

1 calls:

10.0ms

(*.f64 (*.f64 x y) (-.f64 1 y))

series76.0ms (2.2%)

Counts

1 → 3

Calls

1 calls:

76.0ms

(*.f64 (*.f64 x y) (-.f64 1 y))

simplify62.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5133	390

prune78.0ms (2.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	29	5	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	6	35

Merged error: 0.0b

Counts

35 → 6

Compiler

Compiled 1176 to 782 computations (33.5% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))
0.2b	(cbrt.f64 (-.f64 1 y))
0.2b	(cbrt.f64 (-.f64 1 y))
0.2b	(cbrt.f64 (-.f64 1 y))

rewrite36.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

50×	`cbrt-prod_binary64_454`
44×	`add-sqr-sqrt_binary64_445`
42×	`*-un-lft-identity_binary64_423`
18×	`cbrt-div_binary64_455`
15×	`add-cube-cbrt_binary64_458`
14×	`difference-of-squares_binary64_392`
11×	`swap-sqr_binary64_390` `pow1_binary64_484`
9×	`associate-l_binary64_364` `pow1/3_binary64_505` `flip3--_binary64_427` `associate-r_binary64_363` `distribute-lft-out--_binary64_375` `flip--_binary64_398`
6×	`add-exp-log_binary64_461`
4×	`frac-times_binary64_433` `add-cbrt-cube_binary64_459` `add-log-exp_binary64_462` `unswap-sqr_binary64_391`
2×	`pow-prod-down_binary64_494` `pow-sqr_binary64_396` `pow-prod-up_binary64_493` `associate-r/_binary64_365` `associate-l/_binary64_366`
1×	`prod-exp_binary64_472` `*-commutative_binary64_354` `pow-plus_binary64_486` `pow2_binary64_504` `cbrt-unprod_binary64_456`

Counts

4 → 107

Calls

4 calls:

14.0ms	(*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))
4.0ms	(cbrt.f64 (-.f64 1 y))
4.0ms	(cbrt.f64 (-.f64 1 y))
4.0ms	(cbrt.f64 (-.f64 1 y))

series185.0ms (5.4%)

Counts

4 → 12

Calls

4 calls:

48.0ms	(*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))
46.0ms	(cbrt.f64 (-.f64 1 y))
46.0ms	(cbrt.f64 (-.f64 1 y))
44.0ms	(cbrt.f64 (-.f64 1 y))

simplify133.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (111.0ms)

Iter	Nodes	Cost
0	4845	1690
1	4845	1690

prune184.0ms (5.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	117	2	119
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	117	8	125

Merged error: 0.0b

Counts

125 → 8

Compiler

Compiled 3419 to 2422 computations (29.2% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y))) (cbrt.f64 (.f64 (*.f64 x y) (-.f64 1 y))))
8.4b	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))
8.4b	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))
8.4b	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))

rewrite36.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/_binary64_365`
18×	`cbrt-div_binary64_455`
11×	`pow1_binary64_484`
10×	`add-sqr-sqrt_binary64_445`
9×	`pow1/3_binary64_505` `flip3--_binary64_427` `flip--_binary64_398`
8×	`*-un-lft-identity_binary64_423` `add-cube-cbrt_binary64_458`
7×	`cbrt-prod_binary64_454`
6×	`add-exp-log_binary64_461`
4×	`frac-times_binary64_433` `associate-l_binary64_364` `swap-sqr_binary64_390` `associate-r_binary64_363` `add-cbrt-cube_binary64_459` `add-log-exp_binary64_462`
2×	`pow-prod-down_binary64_494` `pow-sqr_binary64_396` `pow-prod-up_binary64_493` `associate-*l/_binary64_366`
1×	`prod-exp_binary64_472` `*-commutative_binary64_354` `pow-plus_binary64_486` `unswap-sqr_binary64_391` `pow2_binary64_504` `cbrt-unprod_binary64_456`

Counts

4 → 72

Calls

4 calls:

8.0ms	(.f64 (cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y))) (cbrt.f64 (.f64 (*.f64 x y) (-.f64 1 y))))
7.0ms	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))
7.0ms	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))
7.0ms	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))

series680.0ms (19.8%)

Counts

4 → 12

Calls

4 calls:

211.0ms	(.f64 (cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y))) (cbrt.f64 (.f64 (*.f64 x y) (-.f64 1 y))))
166.0ms	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))
156.0ms	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))
147.0ms	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))

simplify93.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5008	1611

prune133.0ms (3.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	83	9	92

Merged error: 0b

Counts

92 → 9

Compiler

Compiled 2956 to 1789 computations (39.5% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (.f64 x y)) (.f64 (cbrt.f64 (.f64 (*.f64 x y) (-.f64 1 y))) (cbrt.f64 (-.f64 1 y))))
8.4b	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))
8.4b	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))
8.5b	(cbrt.f64 (*.f64 x y))

rewrite36.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/_binary64_365`
16×	`cbrt-div_binary64_455`
9×	`pow1_binary64_484` `add-exp-log_binary64_461`
8×	`flip3--_binary64_427` `flip--_binary64_398`
6×	`pow1/3_binary64_505`
5×	`*-un-lft-identity_binary64_423` `pow-prod-down_binary64_494` `add-cube-cbrt_binary64_458` `add-sqr-sqrt_binary64_445` `add-cbrt-cube_binary64_459`
4×	`frac-times_binary64_433` `associate-l_binary64_364` `add-log-exp_binary64_462` `cbrt-prod_binary64_454`
3×	`prod-exp_binary64_472` `cbrt-unprod_binary64_456`
2×	`associate-*l/_binary64_366`
1×	`-commutative_binary64_354` `associate-r*_binary64_363`

Counts

4 → 59

Calls

4 calls:

13.0ms	(.f64 (cbrt.f64 (.f64 x y)) (.f64 (cbrt.f64 (.f64 (*.f64 x y) (-.f64 1 y))) (cbrt.f64 (-.f64 1 y))))
7.0ms	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))
6.0ms	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))
2.0ms	(cbrt.f64 (*.f64 x y))

series634.0ms (18.5%)

Counts

4 → 12

Calls

4 calls:

217.0ms	(.f64 (cbrt.f64 (.f64 x y)) (.f64 (cbrt.f64 (.f64 (*.f64 x y) (-.f64 1 y))) (cbrt.f64 (-.f64 1 y))))
158.0ms	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))
157.0ms	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))
102.0ms	(cbrt.f64 (*.f64 x y))

simplify89.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4859	1498
1	4859	1498

prune98.0ms (2.9%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	71	9	80

Merged error: 0b

Counts

80 → 9

Compiler

Compiled 2363 to 1308 computations (44.6% saved)

regimes57.0ms (1.7%)

Compiler: Compiled 495 to 386 computations (22% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample505.0ms (14.7%)

Algorithm

1×

intervals

Results

185.0ms	8000×	body	128	valid
4.0ms	184×	body	128	invalid

Compiler

Compiled 174 to 137 computations (21.3% saved)

Details

analyze62.0ms (1.8%)

sample12.0ms (0.4%)

simplify182.0ms (5.3%)

prune2.0ms (0.1%)

localize9.0ms (0.3%)

rewrite12.0ms (0.4%)

series76.0ms (2.2%)

simplify62.0ms (1.8%)

prune78.0ms (2.3%)

localize8.0ms (0.2%)

rewrite36.0ms (1.1%)

series185.0ms (5.4%)

simplify133.0ms (3.9%)

prune184.0ms (5.4%)

localize11.0ms (0.3%)

rewrite36.0ms (1.1%)

series680.0ms (19.8%)

simplify93.0ms (2.7%)

prune133.0ms (3.9%)

localize15.0ms (0.4%)

rewrite36.0ms (1%)

series634.0ms (18.5%)

simplify89.0ms (2.6%)

prune98.0ms (2.9%)

regimes57.0ms (1.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample505.0ms (14.7%)

Profiling