Details

analyze105.0ms (2.2%)

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
25%	74.9%	0.1%	6
56.2%	43.7%	0.1%	7
56.2%	43.7%	0.1%	8
76.5%	23.4%	0.1%	9
76.5%	23.4%	0.1%	10
87.8%	12.1%	0.1%	11
87.8%	12.1%	0.1%	12
93.8%	6.1%	0.1%	13
93.8%	6.1%	0.1%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample14.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify307.0ms (6.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (146.0ms)

Iter	Nodes	Cost
0	4932	10
1	4932	10

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: 0.0b

Counts

2 → 1

Compiler

Compiled 30 to 28 computations (6.7% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

rewrite15.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64_15903`
3×	`add-log-exp_binary64_15942`
2×	`distribute-lft-out_binary64_15854` `times-frac_binary64_15909`
1×	`flip3-+_binary64_15906` `add-sqr-sqrt_binary64_15925` `add-exp-log_binary64_15941` `sum-log_binary64_15994` `add-cube-cbrt_binary64_15938` `add-cbrt-cube_binary64_15939` `flip-+_binary64_15877` `+-commutative_binary64_15833` `frac-add_binary64_15911` `pow1_binary64_15964`

Counts

1 → 14

Calls

1 calls:

14.0ms

(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

series37.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

37.0ms

(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

simplify80.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4850	239
1	4850	239

prune20.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	15	2	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	3	18

Merged error: 0.0b

Counts

18 → 3

Compiler

Compiled 299 to 241 computations (19.4% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
0.6b	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
0.6b	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
0.6b	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))

rewrite93.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

63×	`*-un-lft-identity_binary64_15903`
43×	`cbrt-prod_binary64_15934`
33×	`cbrt-div_binary64_15935`
23×	`add-sqr-sqrt_binary64_15925`
16×	`distribute-lft-out_binary64_15854`
15×	`add-cube-cbrt_binary64_15938`
14×	`times-frac_binary64_15909`
11×	`flip3-+_binary64_15906` `flip-+_binary64_15877` `frac-add_binary64_15911` `pow1_binary64_15964`
10×	`swap-sqr_binary64_15870`
9×	`pow1/3_binary64_15985` `frac-times_binary64_15913`
8×	`associate-l_binary64_15844` `associate-r_binary64_15843`
6×	`add-exp-log_binary64_15941`
4×	`add-cbrt-cube_binary64_15939` `unswap-sqr_binary64_15871` `add-log-exp_binary64_15942`
3×	`associate-r/_binary64_15845` `associate-l/_binary64_15846`
2×	`pow-prod-down_binary64_15974` `pow-sqr_binary64_15876` `pow-prod-up_binary64_15973`
1×	`cbrt-unprod_binary64_15936` `pow-plus_binary64_15966` `prod-exp_binary64_15952` `*-commutative_binary64_15834` `pow2_binary64_15984`

Counts

4 → 111

Calls

4 calls:

38.0ms	(*.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
14.0ms	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
14.0ms	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
13.0ms	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))

series725.0ms (15.2%)

Counts

4 → 12

Calls

4 calls:

198.0ms	(*.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))))
180.0ms	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
176.0ms	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
171.0ms	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))

simplify103.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4898	2939
1	4898	2939

prune249.0ms (5.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	124	2	126

Merged error: 0.0b

Counts

126 → 2

Compiler

Compiled 4227 to 3325 computations (21.3% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
0.6b	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
0.6b	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
0.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 2))

rewrite67.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64_15903`
33×	`cbrt-prod_binary64_15934`
10×	`add-sqr-sqrt_binary64_15925` `add-cube-cbrt_binary64_15938`
9×	`cbrt-div_binary64_15935`
8×	`unpow-prod-down_binary64_15982` `distribute-lft-out_binary64_15854` `times-frac_binary64_15909`
4×	`pow1/3_binary64_15985` `add-exp-log_binary64_15941` `add-cbrt-cube_binary64_15939` `pow1_binary64_15964` `add-log-exp_binary64_15942`
3×	`flip3-+_binary64_15906` `flip-+_binary64_15877` `frac-add_binary64_15911`
1×	`sqr-pow_binary64_15875` `unpow2_binary64_15968`

Counts

4 → 69

Calls

4 calls:

16.0ms	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
16.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 2))
13.0ms	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
13.0ms	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))

series731.0ms (15.4%)

Counts

4 → 12

Calls

4 calls:

210.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 2))
179.0ms	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
175.0ms	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
166.0ms	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))

simplify93.0ms (2%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4834	1771
1	4834	1771

prune207.0ms (4.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	80	3	83

Merged error: 0.0b

Counts

83 → 3

Compiler

Compiled 3934 to 3153 computations (19.9% saved)

localize23.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
0.6b	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
0.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 2))
0.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 2))

rewrite75.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`cbrt-prod_binary64_15934`
36×	`*-un-lft-identity_binary64_15903`
16×	`unpow-prod-down_binary64_15982`
12×	`add-sqr-sqrt_binary64_15925` `add-cube-cbrt_binary64_15938`
8×	`distribute-lft-out_binary64_15854` `times-frac_binary64_15909`
6×	`cbrt-div_binary64_15935`
4×	`pow1/3_binary64_15985` `add-exp-log_binary64_15941` `add-cbrt-cube_binary64_15939` `pow1_binary64_15964` `add-log-exp_binary64_15942`
2×	`flip3-+_binary64_15906` `sqr-pow_binary64_15875` `unpow2_binary64_15968` `flip-+_binary64_15877` `frac-add_binary64_15911`

Counts

4 → 74

Calls

4 calls:

16.0ms	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
16.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 2))
16.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 2))
14.0ms	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))

series781.0ms (16.4%)

Counts

4 → 12

Calls

4 calls:

213.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 2))
208.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))) 2))
181.0ms	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
178.0ms	(cbrt.f64 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))

simplify95.0ms (2%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4834	2022
1	4834	2022

prune346.0ms (7.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	86	3	89

Merged error: 0.0b

Counts

89 → 3

Compiler

Compiled 5408 to 4437 computations (18% saved)

regimes28.0ms (0.6%)

Compiler: Compiled 206 to 182 computations (11.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	10
1	9	10

end0.0ms (0%)

sample520.0ms (10.9%)

Algorithm

1×

intervals

Results

237.0ms

8000×

body

128

valid

Compiler

Compiled 125 to 111 computations (11.2% saved)

Details

analyze105.0ms (2.2%)

sample14.0ms (0.3%)

simplify307.0ms (6.5%)

prune5.0ms (0.1%)

localize9.0ms (0.2%)

rewrite15.0ms (0.3%)

series37.0ms (0.8%)

simplify80.0ms (1.7%)

prune20.0ms (0.4%)

localize12.0ms (0.3%)

rewrite93.0ms (2%)

series725.0ms (15.2%)

simplify103.0ms (2.2%)

prune249.0ms (5.2%)

localize16.0ms (0.3%)

rewrite67.0ms (1.4%)

series731.0ms (15.4%)

simplify93.0ms (2%)

prune207.0ms (4.4%)

localize23.0ms (0.5%)

rewrite75.0ms (1.6%)

series781.0ms (16.4%)

simplify95.0ms (2%)

prune346.0ms (7.3%)

regimes28.0ms (0.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample520.0ms (10.9%)

Profiling