Details

analyze60.0ms (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)

sample16.0ms (0.5%)

Algorithm

1×

intervals

Results

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

Compiler

Compiled 15 to 15 computations (0% saved)

simplify170.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (14.0ms)

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)

localize5.0ms (0.1%)

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

6×	`pow1_binary64_472` `add-exp-log_binary64_449` `add-cbrt-cube_binary64_447` `associate-r_binary64_356`
5×	`*-un-lft-identity_binary64_414` `add-sqr-sqrt_binary64_435`
3×	`prod-exp_binary64_460` `pow-prod-down_binary64_482` `cbrt-unprod_binary64_444`
2×	`difference-of-squares_binary64_383` `add-cube-cbrt_binary64_446` `sub-neg_binary64_407` `associate-*r/_binary64_358`
1×	`distribute-lft-in_binary64_365` `flip3--_binary64_418` `distribute-lft-out--_binary64_368` `distribute-rgt-in_binary64_366` `-commutative_binary64_347` `associate-l*_binary64_357` `add-log-exp_binary64_450` `flip--_binary64_389`

Counts

1 → 25

Calls

1 calls:

10.0ms

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

series81.0ms (2.5%)

Counts

1 → 3

Calls

1 calls:

81.0ms

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

simplify56.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5070	312

prune28.0ms (0.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	23	5	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	23	6	29

Merged error: 0.0b

Counts

29 → 6

Compiler

Compiled 375 to 220 computations (41.3% saved)

localize8.0ms (0.3%)

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_442`
44×	`add-sqr-sqrt_binary64_435`
42×	`*-un-lft-identity_binary64_414`
18×	`cbrt-div_binary64_443`
15×	`add-cube-cbrt_binary64_446`
14×	`difference-of-squares_binary64_383`
11×	`pow1_binary64_472` `swap-sqr_binary64_381`
9×	`flip3--_binary64_418` `distribute-lft-out--_binary64_368` `associate-l_binary64_357` `associate-r_binary64_356` `flip--_binary64_389` `pow1/3_binary64_493`
6×	`add-exp-log_binary64_449`
4×	`add-cbrt-cube_binary64_447` `add-log-exp_binary64_450` `unswap-sqr_binary64_382` `frac-times_binary64_424`
2×	`associate-l/_binary64_359` `pow-prod-up_binary64_481` `pow-prod-down_binary64_482` `pow-sqr_binary64_387` `associate-r/_binary64_358`
1×	`pow-plus_binary64_474` `*-commutative_binary64_347` `prod-exp_binary64_460` `cbrt-unprod_binary64_444` `pow2_binary64_492`

Counts

4 → 107

Calls

4 calls:

13.0ms	(*.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))

series184.0ms (5.6%)

Counts

4 → 12

Calls

4 calls:

49.0ms	(*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))
47.0ms	(cbrt.f64 (-.f64 1 y))
44.0ms	(cbrt.f64 (-.f64 1 y))
43.0ms	(cbrt.f64 (-.f64 1 y))

simplify103.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4850	1686
1	4850	1686

prune153.0ms (4.7%)

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 2875 to 1990 computations (30.8% saved)

localize9.0ms (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_358`
18×	`cbrt-div_binary64_443`
11×	`pow1_binary64_472`
10×	`add-sqr-sqrt_binary64_435`
9×	`flip3--_binary64_418` `flip--_binary64_389` `pow1/3_binary64_493`
8×	`add-cube-cbrt_binary64_446` `*-un-lft-identity_binary64_414`
7×	`cbrt-prod_binary64_442`
6×	`add-exp-log_binary64_449`
4×	`add-cbrt-cube_binary64_447` `associate-l_binary64_357` `add-log-exp_binary64_450` `swap-sqr_binary64_381` `associate-r_binary64_356` `frac-times_binary64_424`
2×	`associate-*l/_binary64_359` `pow-prod-up_binary64_481` `pow-prod-down_binary64_482` `pow-sqr_binary64_387`
1×	`pow-plus_binary64_474` `*-commutative_binary64_347` `prod-exp_binary64_460` `unswap-sqr_binary64_382` `cbrt-unprod_binary64_444` `pow2_binary64_492`

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)))
6.0ms	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))

series684.0ms (20.9%)

Counts

4 → 12

Calls

4 calls:

215.0ms	(.f64 (cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y))) (cbrt.f64 (.f64 (*.f64 x y) (-.f64 1 y))))
168.0ms	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))
151.0ms	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))
149.0ms	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))

simplify86.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5076	1594

prune111.0ms (3.4%)

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 2636 to 1529 computations (42% saved)

localize12.0ms (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))

rewrite38.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/_binary64_358`
16×	`cbrt-div_binary64_443`
9×	`pow1_binary64_472` `add-exp-log_binary64_449`
8×	`flip3--_binary64_418` `flip--_binary64_389`
6×	`pow1/3_binary64_493`
5×	`add-cube-cbrt_binary64_446` `pow-prod-down_binary64_482` `*-un-lft-identity_binary64_414` `add-cbrt-cube_binary64_447` `add-sqr-sqrt_binary64_435`
4×	`cbrt-prod_binary64_442` `associate-l_binary64_357` `add-log-exp_binary64_450` `frac-times_binary64_424`
3×	`prod-exp_binary64_460` `cbrt-unprod_binary64_444`
2×	`associate-*l/_binary64_359`
1×	`-commutative_binary64_347` `associate-r*_binary64_356`

Counts

4 → 59

Calls

4 calls:

12.0ms	(.f64 (cbrt.f64 (.f64 x y)) (.f64 (cbrt.f64 (.f64 (*.f64 x y) (-.f64 1 y))) (cbrt.f64 (-.f64 1 y))))
8.0ms	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))
7.0ms	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))
2.0ms	(cbrt.f64 (*.f64 x y))

series628.0ms (19.2%)

Counts

4 → 12

Calls

4 calls:

222.0ms	(.f64 (cbrt.f64 (.f64 x y)) (.f64 (cbrt.f64 (.f64 (*.f64 x y) (-.f64 1 y))) (cbrt.f64 (-.f64 1 y))))
149.0ms	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))
147.0ms	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))
110.0ms	(cbrt.f64 (*.f64 x y))

simplify86.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5161	1490

prune96.0ms (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 2359 to 1297 computations (45% saved)

regimes58.0ms (1.8%)

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%)

sample506.0ms (15.5%)

Algorithm

1×

intervals

Results

184.0ms	8000×	body	128	valid
4.0ms	184×	body	128	invalid

Compiler

Compiled 174 to 137 computations (21.3% saved)

Details

analyze60.0ms (1.8%)

sample16.0ms (0.5%)

simplify170.0ms (5.2%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

rewrite12.0ms (0.4%)

series81.0ms (2.5%)

simplify56.0ms (1.7%)

prune28.0ms (0.9%)

localize8.0ms (0.3%)

rewrite36.0ms (1.1%)

series184.0ms (5.6%)

simplify103.0ms (3.1%)

prune153.0ms (4.7%)

localize9.0ms (0.3%)

rewrite36.0ms (1.1%)

series684.0ms (20.9%)

simplify86.0ms (2.6%)

prune111.0ms (3.4%)

localize12.0ms (0.4%)

rewrite38.0ms (1.2%)

series628.0ms (19.2%)

simplify86.0ms (2.6%)

prune96.0ms (2.9%)

regimes58.0ms (1.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample506.0ms (15.5%)

Profiling