Details

analyze63.0ms (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%	50%	25.1%	6
25%	31.2%	43.8%	7
31.2%	25%	43.8%	8
39%	17.2%	43.8%	9
42.9%	13.3%	43.8%	10
47.2%	9%	43.8%	11
49.4%	6.8%	43.8%	12
51.6%	4.6%	43.8%	13
52.7%	3.5%	43.8%	14

Compiler

Compiled 16 to 8 computations (50% saved)

sample14.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 31 to 17 computations (45.2% saved)

simplify100.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	39	13
1	39	13

prune4.0ms (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

0.0b

Counts

2 → 2

Compiler

Compiled 33 to 21 computations (36.4% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 y (.f64 y 3))
0.0b	(+.f64 (.f64 x x) (.f64 y (*.f64 y 3)))
0.0b	(+.f64 (.f64 x x) (.f64 y (*.f64 y 3)))
0.1b	(.f64 y (.f64 y 3))

rewrite12.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-cbrt-cube_binary64_15118` `pow1_binary64_15143` `add-exp-log_binary64_15120`
4×	`add-log-exp_binary64_15121`
3×	`pow-prod-down_binary64_15153` `prod-exp_binary64_15131` `add-cube-cbrt_binary64_15117` `cbrt-unprod_binary64_15115` `-un-lft-identity_binary64_15082` `associate-l*_binary64_15023` `add-sqr-sqrt_binary64_15104`
1×	`sum-log_binary64_15173` `flip-+_binary64_15056` `+-commutative_binary64_15012` `-commutative_binary64_15013` `associate-r*_binary64_15022` `flip3-+_binary64_15085`

Counts

2 → 29

Calls

4 calls:

6.0ms	(.f64 y (.f64 y 3))
4.0ms	(+.f64 (.f64 x x) (.f64 y (*.f64 y 3)))
0.0ms	(+.f64 (.f64 x x) (.f64 y (*.f64 y 3)))
0.0ms	(.f64 y (.f64 y 3))

series139.0ms (4.9%)

Counts

2 → 15

Calls

2 calls:

113.0ms	(+.f64 (.f64 x x) (.f64 y (*.f64 y 3)))
25.0ms	(.f64 y (.f64 y 3))

Compiler

Compiled 186 to 186 computations (0% saved)

simplify73.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4949	482
1	4949	482

prune41.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	41	3	44
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	42	4	46

Error

0.0b

Counts

46 → 4

Compiler

Compiled 550 to 306 computations (44.4% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 y y) 3)
0.0b	(+.f64 (.f64 x x) (.f64 (*.f64 y y) 3))
0.0b	(+.f64 (.f64 x x) (.f64 (*.f64 y y) 3))
0.2b	(.f64 (.f64 y y) 3)

rewrite12.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-cbrt-cube_binary64_15118` `pow1_binary64_15143` `add-exp-log_binary64_15120`
4×	`add-log-exp_binary64_15121` `add-sqr-sqrt_binary64_15104`
3×	`pow-prod-down_binary64_15153` `prod-exp_binary64_15131` `add-cube-cbrt_binary64_15117` `cbrt-unprod_binary64_15115` `-un-lft-identity_binary64_15082` `associate-r*_binary64_15022`
1×	`unswap-sqr_binary64_15050` `sum-log_binary64_15173` `flip-+_binary64_15056` `+-commutative_binary64_15012` `associate-l_binary64_15023` `*-commutative_binary64_15013` `flip3-+_binary64_15085`

Counts

2 → 30

Calls

4 calls:

6.0ms	(.f64 (.f64 y y) 3)
4.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 y y) 3))
0.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 y y) 3))
0.0ms	(.f64 (.f64 y y) 3)

series132.0ms (4.6%)

Counts

2 → 15

Calls

2 calls:

107.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 y y) 3))
25.0ms	(.f64 (.f64 y y) 3)

Compiler

Compiled 186 to 186 computations (0% saved)

simplify75.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4946	498
1	4946	498

prune33.0ms (1.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	44	5	49

Error

0.0b

Counts

49 → 5

Compiler

Compiled 569 to 286 computations (49.7% saved)

localize10.0ms (0.3%)

Local error

Found 6 expressions with local error:

0.2b	(.f64 (.f64 (.f64 y y) (.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))
0.2b	(.f64 (.f64 y y) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))
0.0b	(+.f64 (.f64 x x) (.f64 (.f64 (.f64 y y) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))
0.0b	(+.f64 (.f64 x x) (.f64 (.f64 (.f64 y y) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))
0.2b	(.f64 (.f64 y y) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))
0.2b	(.f64 (.f64 (.f64 y y) (.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))

rewrite40.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`pow1_binary64_15143`
33×	`add-exp-log_binary64_15120`
27×	`pow-prod-down_binary64_15153`
21×	`prod-exp_binary64_15131` `cbrt-unprod_binary64_15115`
20×	`add-cbrt-cube_binary64_15118`
7×	`associate-r_binary64_15022`
5×	`add-cube-cbrt_binary64_15117` `*-un-lft-identity_binary64_15082` `add-log-exp_binary64_15121` `add-sqr-sqrt_binary64_15104`
4×	`pow-prod-up_binary64_15152` `pow-plus_binary64_15145`
3×	`cbrt-prod_binary64_15113`
2×	`pow2_binary64_15163` `associate-l_binary64_15023` `*-commutative_binary64_15013` `pow-sqr_binary64_15055`
1×	`unswap-sqr_binary64_15050` `sum-log_binary64_15173` `flip-+_binary64_15056` `+-commutative_binary64_15012` `flip3-+_binary64_15085`

Counts

3 → 70

Calls

6 calls:

17.0ms	(.f64 (.f64 (.f64 y y) (.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))
11.0ms	(.f64 (.f64 y y) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))
5.0ms	(+.f64 (.f64 x x) (.f64 (.f64 (.f64 y y) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))
0.0ms	(+.f64 (.f64 x x) (.f64 (.f64 (.f64 y y) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))
0.0ms	(.f64 (.f64 y y) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))

series311.0ms (10.9%)

Counts

3 → 18

Calls

3 calls:

195.0ms

(+.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 y y) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))

67.0ms

(*.f64 (*.f64 (*.f64 y y) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))

48.0ms

(*.f64 (*.f64 y y) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))

Compiler

Compiled 339 to 333 computations (1.8% saved)

simplify71.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4969	947
1	4969	947

prune74.0ms (2.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	88	5	93

Error

0.0b

Counts

93 → 5

Compiler

Compiled 1266 to 758 computations (40.1% saved)

localize12.0ms (0.4%)

Local error

Found 8 expressions with local error:

0.1b	(.f64 y (.f64 y 3))
0.1b	(.f64 y (.f64 y 3))
0.1b	(.f64 y (.f64 y 3))
0.0b	(+.f64 (.f64 x x) (.f64 (.f64 (cbrt.f64 (.f64 y (.f64 y 3))) (cbrt.f64 (.f64 y (.f64 y 3)))) (cbrt.f64 (.f64 y (*.f64 y 3)))))
0.4b	(.f64 (cbrt.f64 (.f64 y (.f64 y 3))) (cbrt.f64 (.f64 y (*.f64 y 3))))
18.7b	(cbrt.f64 (.f64 y (.f64 y 3)))
18.7b	(cbrt.f64 (.f64 y (.f64 y 3)))
18.7b	(cbrt.f64 (.f64 y (.f64 y 3)))

rewrite23.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_15143`
10×	`add-sqr-sqrt_binary64_15104`
9×	`pow1/3_binary64_15164`
8×	`add-cube-cbrt_binary64_15117` `*-un-lft-identity_binary64_15082`
7×	`cbrt-prod_binary64_15113`
6×	`add-exp-log_binary64_15120`
4×	`add-cbrt-cube_binary64_15118` `add-log-exp_binary64_15121` `associate-l_binary64_15023` `swap-sqr_binary64_15049` `associate-r_binary64_15022`
2×	`pow-prod-down_binary64_15153` `pow-prod-up_binary64_15152` `pow-sqr_binary64_15055`
1×	`unswap-sqr_binary64_15050` `prod-exp_binary64_15131` `pow2_binary64_15163` `cbrt-unprod_binary64_15115` `*-commutative_binary64_15013` `pow-plus_binary64_15145`

Counts

4 → 58

Calls

8 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 y (.f64 y 3))) (cbrt.f64 (.f64 y (*.f64 y 3))))
4.0ms	(cbrt.f64 (.f64 y (.f64 y 3)))
4.0ms	(cbrt.f64 (.f64 y (.f64 y 3)))
4.0ms	(cbrt.f64 (.f64 y (.f64 y 3)))
0.0ms	(+.f64 (.f64 x x) (.f64 (.f64 (cbrt.f64 (.f64 y (.f64 y 3))) (cbrt.f64 (.f64 y (.f64 y 3)))) (cbrt.f64 (.f64 y (*.f64 y 3)))))

series437.0ms (15.3%)

Counts

4 → 12

Calls

4 calls:

122.0ms	(.f64 (cbrt.f64 (.f64 y (.f64 y 3))) (cbrt.f64 (.f64 y (*.f64 y 3))))
111.0ms	(cbrt.f64 (.f64 y (.f64 y 3)))
104.0ms	(cbrt.f64 (.f64 y (.f64 y 3)))
100.0ms	(cbrt.f64 (.f64 y (.f64 y 3)))

Compiler

Compiled 594 to 486 computations (18.2% saved)

simplify66.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5130	733

prune77.0ms (2.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	70	5	75

Error

0.0b

Counts

75 → 5

Compiler

Compiled 1743 to 1122 computations (35.6% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	127	260
1	127	260

regimes111.0ms (3.9%)

Compiler: Compiled 792 to 672 computations (15.2% saved)

bsearch0.0ms (0%)

regimes45.0ms (1.6%)

Compiler: Compiled 116 to 136 computations (-17.2% saved)

bsearch0.0ms (0%)

regimes110.0ms (3.8%)

Compiler: Compiled 97 to 131 computations (-35.1% saved)

bsearch10.0ms (0.3%)

Steps

Iters	Range		Point
6	7.42355168853735e-40	3.3269389837670964e-39	1.1442197627234586e-39
0	-5.903822608923143e-58	-5.884870811925377e-58	-5.8943467104242605e-58

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes28.0ms (1%)

Compiler: Compiled 28 to 50 computations (-78.6% saved)

bsearch0.0ms (0%)

regimes17.0ms (0.6%)

Accuracy

Total 0.1b remaining (93.2%)

Threshold costs 0.1b (93.2%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch3.0ms (0.1%)

Compiler: Compiled 44 to 38 computations (13.6% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	57
1	28	57

end0.0ms (0%)

sample684.0ms (24%)

Algorithm

1×

intervals

Results

215.0ms	8000×	body	128	valid
0.0ms	8×	body	128	invalid

Compiler

Compiled 243 to 200 computations (17.7% saved)

Pareto

0.35354097010417146

Details

analyze63.0ms (2.2%)

sample14.0ms (0.5%)

simplify100.0ms (3.5%)

prune4.0ms (0.1%)

localize6.0ms (0.2%)

rewrite12.0ms (0.4%)

series139.0ms (4.9%)

simplify73.0ms (2.6%)

prune41.0ms (1.5%)

localize6.0ms (0.2%)

rewrite12.0ms (0.4%)

series132.0ms (4.6%)

simplify75.0ms (2.6%)

prune33.0ms (1.2%)

localize10.0ms (0.3%)

rewrite40.0ms (1.4%)

series311.0ms (10.9%)

simplify71.0ms (2.5%)

prune74.0ms (2.6%)

localize12.0ms (0.4%)

rewrite23.0ms (0.8%)

series437.0ms (15.3%)

simplify66.0ms (2.3%)

prune77.0ms (2.7%)

simplify8.0ms (0.3%)

regimes111.0ms (3.9%)

bsearch0.0ms (0%)

regimes45.0ms (1.6%)

bsearch0.0ms (0%)

regimes110.0ms (3.8%)

bsearch10.0ms (0.3%)

regimes28.0ms (1%)

bsearch0.0ms (0%)

regimes17.0ms (0.6%)

bsearch3.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample684.0ms (24%)

Profiling