Details

analyze475.0ms (7.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	765	56
1	765	56
0	3	3
1	3	3

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
0%	99.9%	0.1%	5
31.2%	68.6%	0.1%	6
43.7%	56.2%	0.1%	7
59.3%	40.6%	0.1%	8
59.3%	40.6%	0.1%	9
68.6%	31.2%	0.1%	10
78%	21.8%	0.1%	11
78%	21.8%	0.1%	12
83.5%	16.4%	0.1%	13
88.5%	11.3%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample47.0ms (0.7%)

Algorithm

1×

intervals

Results

17.0ms	43×	body	1024	valid
13.0ms	189×	body	128	valid
4.0ms	21×	body	512	valid
1.0ms	3×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify17.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	227	14
1	227	14

prune2.0ms (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

0.0b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite49.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`add-log-exp_binary64_3527`
6×	`add-sqr-sqrt_binary64_3510`
4×	`pow1_binary64_3549` `add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524` `add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
3×	`associate-l_binary64_3429` `associate-r_binary64_3428`
2×	`diff-log_binary64_3580`
1×	`pow-prod-down_binary64_3559` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521` `unswap-sqr_binary64_3456` `*-commutative_binary64_3419` `sum-log_binary64_3579` `flip3--_binary64_3492` `sub-neg_binary64_3481` `flip--_binary64_3463` `cancel-sign-sub-inv_binary64_3454` `associate--l+_binary64_3425`

Counts

2 → 32

Calls

2 calls:

13.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
9.0ms	(*.f64 z (sin.f64 y))

Compiler

Compiled 508 to 120 computations (76.4% saved)

series276.0ms (4.1%)

Error

0.0b

Counts

2 → 25

Calls

2 calls:

191.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
69.0ms	(*.f64 z (sin.f64 y))

Compiler

Compiled 561 to 372 computations (33.7% saved)

simplify116.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	5383	700

prune54.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	52	5	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	6	58

Error

Counts

58 → 6

Compiler

Compiled 750 to 185 computations (75.3% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
8.4b	(cbrt.f64 (*.f64 z (sin.f64 y)))
8.4b	(cbrt.f64 (*.f64 z (sin.f64 y)))
8.4b	(cbrt.f64 (*.f64 z (sin.f64 y)))

rewrite91.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

11×	`pow1_binary64_3549`
10×	`add-sqr-sqrt_binary64_3510`
9×	`pow1/3_binary64_3570`
8×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
7×	`cbrt-prod_binary64_3519`
6×	`add-exp-log_binary64_3526`
4×	`add-log-exp_binary64_3527` `add-cbrt-cube_binary64_3524` `swap-sqr_binary64_3455` `associate-l_binary64_3429` `associate-r_binary64_3428`
2×	`pow-prod-down_binary64_3559` `pow-prod-up_binary64_3558` `pow-sqr_binary64_3461`
1×	`pow2_binary64_3569` `pow-plus_binary64_3551` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521` `unswap-sqr_binary64_3456` `*-commutative_binary64_3419`

Counts

4 → 58

Calls

4 calls:

11.0ms	(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
3.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
3.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
3.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))

Compiler

Compiled 1596 to 245 computations (84.6% saved)

series1.2s (17.4%)

Error

Counts

4 → 25

Calls

4 calls:

347.0ms	(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
288.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
259.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
243.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))

Compiler

Compiled 2009 to 1186 computations (41% saved)

simplify85.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4936	821
1	4936	821

prune93.0ms (1.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	83	6	89

Error

Counts

89 → 6

Compiler

Compiled 1977 to 386 computations (80.5% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))
0.1b	(*.f64 z (sin.f64 y))
0.2b	(pow.f64 (*.f64 z (sin.f64 y)) 3)
31.1b	(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))

rewrite129.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`cbrt-prod_binary64_3519`
17×	`add-sqr-sqrt_binary64_3510`
15×	`*-un-lft-identity_binary64_3488`
11×	`cancel-sign-sub-inv_binary64_3454`
10×	`add-cube-cbrt_binary64_3523`
9×	`pow1_binary64_3549` `add-log-exp_binary64_3527` `add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524`
4×	`sqr-pow_binary64_3460`
3×	`unpow-prod-down_binary64_3567` `unpow3_binary64_3554` `cube-mult_binary64_3518` `cube-prod_binary64_3516` `pow-unpow_binary64_3565` `associate-l_binary64_3429` `associate-r_binary64_3428` `difference-of-squares_binary64_3457`
2×	`pow-prod-down_binary64_3559` `pow-pow_binary64_3560` `prod-exp_binary64_3537` `pow-exp_binary64_3556` `rem-cube-cbrt_binary64_3511` `cbrt-unprod_binary64_3521` `diff-log_binary64_3580` `distribute-lft-out--_binary64_3440`
1×	`pow1/3_binary64_3570` `rem-cbrt-cube_binary64_3512` `pow-to-exp_binary64_3557` `unswap-sqr_binary64_3456` `*-commutative_binary64_3419` `sum-log_binary64_3579` `flip3--_binary64_3492` `sub-neg_binary64_3481` `flip--_binary64_3463` `distribute-lft-out_binary64_3439` `associate--l+_binary64_3425`

Counts

4 → 86

Calls

4 calls:

13.0ms	(-.f64 (+.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))
4.0ms	(*.f64 z (sin.f64 y))
4.0ms	(pow.f64 (*.f64 z (sin.f64 y)) 3)
2.0ms	(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))

Compiler

Compiled 1686 to 682 computations (59.5% saved)

series612.0ms (9.1%)

Error

Counts

4 → 38

Calls

4 calls:

270.0ms	(-.f64 (+.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))
158.0ms	(pow.f64 (*.f64 z (sin.f64 y)) 3)
86.0ms	(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
77.0ms	(*.f64 z (sin.f64 y))

Compiler

Compiled 1123 to 810 computations (27.9% saved)

simplify104.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4964	1489
1	4964	1489

prune86.0ms (1.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	124	6	130

Error

Counts

130 → 6

Compiler

Compiled 1769 to 547 computations (69.1% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))
0.1b	(*.f64 z (sin.f64 y))
0.1b	(*.f64 z (sin.f64 y))
0.2b	(.f64 (sqrt.f64 (+.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) x)) (sqrt.f64 (+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))

rewrite167.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

36×	`add-sqr-sqrt_binary64_3510`
33×	`*-un-lft-identity_binary64_3488`
30×	`sqrt-prod_binary64_3504`
24×	`pow1_binary64_3549`
17×	`add-cube-cbrt_binary64_3523`
14×	`sqrt-div_binary64_3505`
13×	`associate-l_binary64_3429` `associate-r_binary64_3428`
11×	`swap-sqr_binary64_3455`
10×	`add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524`
9×	`pow1/2_binary64_3568` `sqrt-pow1_binary64_3506`
7×	`flip3-+_binary64_3491` `flip-+_binary64_3462` `distribute-lft-out_binary64_3439`
6×	`unswap-sqr_binary64_3456`
5×	`pow-prod-down_binary64_3559` `pow-prod-up_binary64_3558`
4×	`add-log-exp_binary64_3527` `frac-times_binary64_3498`
3×	`prod-exp_binary64_3537` `cbrt-unprod_binary64_3521` `rem-sqrt-square_binary64_3501` `pow-sqr_binary64_3461` `*-commutative_binary64_3419`
2×	`associate-l/_binary64_3431` `associate-r/_binary64_3430`
1×	`pow2_binary64_3569` `pow-plus_binary64_3551` `sqrt-unprod_binary64_3508` `sqr-abs_binary64_3503` `rem-square-sqrt_binary64_3500`

Counts

4 → 115

Calls

4 calls:

17.0ms	(.f64 (sqrt.f64 (+.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) x)) (sqrt.f64 (+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))
6.0ms	(*.f64 z (sin.f64 y))
5.0ms	(sqrt.f64 (+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))
4.0ms	(*.f64 z (sin.f64 y))

Compiler

Compiled 3705 to 441 computations (88.1% saved)

series648.0ms (9.7%)

Error

Counts

4 → 50

Calls

4 calls:

232.0ms	(sqrt.f64 (+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))
217.0ms	(.f64 (sqrt.f64 (+.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) x)) (sqrt.f64 (+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))
80.0ms	(*.f64 z (sin.f64 y))
75.0ms	(*.f64 z (sin.f64 y))

Compiler

Compiled 2756 to 1440 computations (47.8% saved)

simplify160.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (111.0ms)

Iter	Nodes	Cost
0	4934	3041
1	4934	3041

prune172.0ms (2.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	165	6	171

Error

Counts

171 → 6

Compiler

Compiled 3794 to 654 computations (82.8% saved)

regimes190.0ms (2.8%)

Accuracy

Total 0.0b remaining (65%)

Threshold costs 0.0b (65%)

Compiler

Compiled 1288 to 950 computations (26.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	14
1	37	14

end0.0ms (0%)

sample1.9s (28.5%)

Algorithm

1×

intervals

Results

451.0ms	1314×	body	1024	valid
438.0ms	5733×	body	128	valid
167.0ms	656×	body	512	valid
46.0ms	296×	body	256	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 335 to 249 computations (25.7% saved)

Details

analyze475.0ms (7.1%)

sample47.0ms (0.7%)

simplify17.0ms (0.3%)

prune2.0ms (0%)

localize12.0ms (0.2%)

rewrite49.0ms (0.7%)

series276.0ms (4.1%)

simplify116.0ms (1.7%)

prune54.0ms (0.8%)

localize13.0ms (0.2%)

rewrite91.0ms (1.4%)

series1.2s (17.4%)

simplify85.0ms (1.3%)

prune93.0ms (1.4%)

localize12.0ms (0.2%)

rewrite129.0ms (1.9%)

series612.0ms (9.1%)

simplify104.0ms (1.6%)

prune86.0ms (1.3%)

localize12.0ms (0.2%)

rewrite167.0ms (2.5%)

series648.0ms (9.7%)

simplify160.0ms (2.4%)

prune172.0ms (2.6%)

regimes190.0ms (2.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.9s (28.5%)

Profiling