Details

analyze815.0ms (10%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	56
1	66	56
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	5
12.5%	87.4%	0.1%	6
12.5%	87.4%	0.1%	6
34.3%	65.5%	0.1%	7
34.3%	65.5%	0.1%	7
46.8%	53%	0.1%	8
46.8%	53%	0.1%	8
48%	51.9%	0.1%	9
48%	51.9%	0.1%	9
63%	36.9%	0.1%	10
63%	36.9%	0.1%	10
71.7%	28.2%	0.1%	11
71.7%	28.2%	0.1%	11
72%	27.8%	0.1%	12
72%	27.8%	0.1%	12
80.5%	19.4%	0.1%	13
80.5%	19.4%	0.1%	13
85.4%	14.5%	0.1%	14
85.4%	14.5%	0.1%	14

Compiler

Compiled 20 to 18 computations (10% saved)

sample179.0ms (2.2%)

Algorithm

2×

intervals

Results

27.0ms	371×	body	128	valid
22.0ms	85×	body	1024	valid
6.0ms	34×	body	512	valid
3.0ms	22×	body	256	valid

Compiler

Compiled 2589 to 3104 computations (-19.9% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	20	14
1	20	14

prune3.0ms (0%)

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

0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
0.1b	(*.f64 z (cos.f64 y))

rewrite48.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`add-log-exp_binary64_3868`
6×	`add-sqr-sqrt_binary64_3851`
4×	`pow1_binary64_3890` `add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
3×	`associate-l_binary64_3770` `associate-r_binary64_3769` `sum-log_binary64_3920`
1×	`pow-prod-down_binary64_3900` `prod-exp_binary64_3878` `cbrt-unprod_binary64_3862` `unswap-sqr_binary64_3797` `*-commutative_binary64_3760` `flip3-+_binary64_3832` `flip-+_binary64_3803` `associate-+l+_binary64_3762` `+-commutative_binary64_3759`

Counts

2 → 31

Calls

2 calls:

7.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
4.0ms	(*.f64 z (cos.f64 y))

Compiler

Compiled 497 to 116 computations (76.7% saved)

series394.0ms (4.8%)

Error

0.0b

Counts

2 → 25

Calls

2 calls:

281.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
93.0ms	(*.f64 z (cos.f64 y))

Compiler

Compiled 535 to 346 computations (35.3% saved)

simplify98.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4935	674
1	4935	674

prune54.0ms (0.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	50	6	56
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	7	57

Error

0.0b

Counts

57 → 7

Compiler

Compiled 741 to 181 computations (75.6% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (*.f64 (cos.f64 y) z))
0.5b	(cbrt.f64 (*.f64 (cos.f64 y) z))
0.5b	(cbrt.f64 (*.f64 (cos.f64 y) z))
0.5b	(.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) (cbrt.f64 (*.f64 (cos.f64 y) z)))

rewrite85.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

11×	`pow1_binary64_3890`
10×	`add-sqr-sqrt_binary64_3851`
9×	`pow1/3_binary64_3911`
8×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
7×	`cbrt-prod_binary64_3860`
6×	`add-exp-log_binary64_3867`
4×	`add-log-exp_binary64_3868` `add-cbrt-cube_binary64_3865` `swap-sqr_binary64_3796` `associate-l_binary64_3770` `associate-r_binary64_3769`
2×	`pow-prod-down_binary64_3900` `pow-prod-up_binary64_3899` `pow-sqr_binary64_3802`
1×	`pow2_binary64_3910` `pow-plus_binary64_3892` `prod-exp_binary64_3878` `cbrt-unprod_binary64_3862` `unswap-sqr_binary64_3797` `*-commutative_binary64_3760`

Counts

4 → 58

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) (cbrt.f64 (*.f64 (cos.f64 y) z)))
2.0ms	(cbrt.f64 (*.f64 (cos.f64 y) z))
2.0ms	(cbrt.f64 (*.f64 (cos.f64 y) z))
2.0ms	(cbrt.f64 (*.f64 (cos.f64 y) z))

Compiler

Compiled 1596 to 245 computations (84.6% saved)

series1.4s (17.7%)

Error

0.0b

Counts

4 → 27

Calls

4 calls:

449.0ms	(.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) (cbrt.f64 (*.f64 (cos.f64 y) z)))
323.0ms	(cbrt.f64 (*.f64 (cos.f64 y) z))
322.0ms	(cbrt.f64 (*.f64 (cos.f64 y) z))
316.0ms	(cbrt.f64 (*.f64 (cos.f64 y) z))

Compiler

Compiled 2028 to 1181 computations (41.8% saved)

simplify97.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4873	781
1	4873	781

prune98.0ms (1.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	85	7	92

Error

Counts

92 → 7

Compiler

Compiled 2050 to 425 computations (79.3% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite91.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_3860`
23×	`add-sqr-sqrt_binary64_3851`
15×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
11×	`pow1_binary64_3890`
9×	`pow1/3_binary64_3911`
6×	`add-exp-log_binary64_3867` `swap-sqr_binary64_3796` `associate-l_binary64_3770` `associate-r_binary64_3769`
4×	`add-log-exp_binary64_3868` `add-cbrt-cube_binary64_3865` `unswap-sqr_binary64_3797`
2×	`pow-prod-down_binary64_3900` `pow-prod-up_binary64_3899` `pow-sqr_binary64_3802`
1×	`pow2_binary64_3910` `pow-plus_binary64_3892` `prod-exp_binary64_3878` `cbrt-unprod_binary64_3862` `*-commutative_binary64_3760`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

Compiler

Compiled 1524 to 318 computations (79.1% saved)

series502.0ms (6.1%)

Error

Counts

4 → 12

Calls

4 calls:

152.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
117.0ms	(cbrt.f64 z)
115.0ms	(cbrt.f64 z)
106.0ms	(cbrt.f64 z)

Compiler

Compiled 663 to 450 computations (32.1% saved)

simplify71.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune87.0ms (1.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	85	7	92

Error

Counts

92 → 7

Compiler

Compiled 1675 to 437 computations (73.9% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (*.f64 (cos.f64 y) z))
0.5b	(.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))))
0.6b	(cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))
0.6b	(cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))

rewrite113.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`add-exp-log_binary64_3867`
12×	`cbrt-prod_binary64_3860`
7×	`add-cube-cbrt_binary64_3864` `add-sqr-sqrt_binary64_3851` `*-un-lft-identity_binary64_3829` `prod-exp_binary64_3878`
6×	`pow1_binary64_3890` `add-cbrt-cube_binary64_3865`
4×	`add-log-exp_binary64_3868` `associate-l_binary64_3770`
3×	`pow1/3_binary64_3911` `cbrt-unprod_binary64_3862`
1×	`pow-prod-down_binary64_3900` `pow-to-exp_binary64_3898` `pow-exp_binary64_3897` `associate-r_binary64_3769` `*-commutative_binary64_3760`

Counts

4 → 53

Calls

4 calls:

11.0ms	(.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))))
2.0ms	(cbrt.f64 (*.f64 (cos.f64 y) z))
2.0ms	(cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))
2.0ms	(cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))

Compiler

Compiled 2118 to 456 computations (78.5% saved)

series1.5s (18.3%)

Error

Counts

4 → 26

Calls

4 calls:

422.0ms	(.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))))
366.0ms	(cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))
350.0ms	(cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y))))
326.0ms	(cbrt.f64 (*.f64 (cos.f64 y) z))

Compiler

Compiled 2512 to 1448 computations (42.4% saved)

simplify66.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4862	887
1	4862	887

prune107.0ms (1.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	79	7	86

Error

Counts

86 → 7

Compiler

Compiled 2435 to 594 computations (75.6% saved)

regimes274.0ms (3.4%)

Accuracy

Total 0.0b remaining (72.4%)

Threshold costs 0.0b (72.4%)

Compiler

Compiled 2192 to 1518 computations (30.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

end0.0ms (0%)

sample2.0s (24.3%)

Algorithm

1×

intervals

Results

374.0ms	5685×	body	128	valid
366.0ms	1353×	body	1024	valid
317.0ms	625×	body	512	valid
44.0ms	334×	body	256	valid
3.0ms	3×	body	2048	valid

Compiler

Compiled 561 to 391 computations (30.3% saved)

Details

analyze815.0ms (10%)

sample179.0ms (2.2%)

simplify7.0ms (0.1%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite48.0ms (0.6%)

series394.0ms (4.8%)

simplify98.0ms (1.2%)

prune54.0ms (0.7%)

localize12.0ms (0.1%)

rewrite85.0ms (1%)

series1.4s (17.7%)

simplify97.0ms (1.2%)

prune98.0ms (1.2%)

localize14.0ms (0.2%)

rewrite91.0ms (1.1%)

series502.0ms (6.1%)

simplify71.0ms (0.9%)

prune87.0ms (1.1%)

localize18.0ms (0.2%)

rewrite113.0ms (1.4%)

series1.5s (18.3%)

simplify66.0ms (0.8%)

prune107.0ms (1.3%)

regimes274.0ms (3.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.0s (24.3%)

Profiling