Details

analyze286.0ms (6.1%)

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
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)

sample42.0ms (0.9%)

Algorithm

1×

intervals

Results

15.0ms	42×	body	1024	valid
12.0ms	185×	body	128	valid
5.0ms	22×	body	512	valid
1.0ms	7×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify191.0ms (4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	208	14
1	208	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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite20.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-log-exp_binary64_5622`
7×	`*-un-lft-identity_binary64_5583` `add-sqr-sqrt_binary64_5605`
5×	`pow1_binary64_5644` `add-cube-cbrt_binary64_5618` `add-exp-log_binary64_5621` `add-cbrt-cube_binary64_5619`
3×	`associate-r_binary64_5523` `associate-l_binary64_5524`
2×	`sum-log_binary64_5674` `diff-log_binary64_5675`
1×	`flip-+_binary64_5557` `flip--_binary64_5558` `cancel-sign-sub-inv_binary64_5549` `flip3--_binary64_5587` `+-commutative_binary64_5513` `unswap-sqr_binary64_5551` `associate--l+_binary64_5520` `prod-exp_binary64_5632` `distribute-lft-out_binary64_5534` `cbrt-unprod_binary64_5616` `pow-prod-down_binary64_5654` `*-commutative_binary64_5514` `flip3-+_binary64_5586` `sub-neg_binary64_5576`

Counts

3 → 44

Calls

3 calls:

7.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
5.0ms	(*.f64 z (sin.f64 y))
4.0ms	(+.f64 x (cos.f64 y))

series189.0ms (4%)

Counts

3 → 9

Calls

3 calls:

89.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
63.0ms	(*.f64 z (sin.f64 y))
36.0ms	(+.f64 x (cos.f64 y))

simplify58.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4924	660
1	4924	660

prune76.0ms (1.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	48	5	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	6	54

Merged error: 0.0b

Counts

54 → 6

Compiler

Compiled 1280 to 548 computations (57.2% saved)

localize13.0ms (0.3%)

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))))
9.9b	(cbrt.f64 (*.f64 z (sin.f64 y)))
9.9b	(cbrt.f64 (*.f64 z (sin.f64 y)))
9.9b	(cbrt.f64 (*.f64 z (sin.f64 y)))

rewrite21.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_5644`
10×	`add-sqr-sqrt_binary64_5605`
9×	`pow1/3_binary64_5665`
8×	`*-un-lft-identity_binary64_5583` `add-cube-cbrt_binary64_5618`
7×	`cbrt-prod_binary64_5614`
6×	`add-exp-log_binary64_5621`
4×	`associate-r_binary64_5523` `swap-sqr_binary64_5550` `add-cbrt-cube_binary64_5619` `add-log-exp_binary64_5622` `associate-l_binary64_5524`
2×	`pow-prod-down_binary64_5654` `pow-prod-up_binary64_5653` `pow-sqr_binary64_5556`
1×	`pow-plus_binary64_5646` `unswap-sqr_binary64_5551` `pow2_binary64_5664` `prod-exp_binary64_5632` `cbrt-unprod_binary64_5616` `*-commutative_binary64_5514`

Counts

4 → 58

Calls

4 calls:

6.0ms	(.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)))

series830.0ms (17.6%)

Counts

4 → 12

Calls

4 calls:

258.0ms	(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
200.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
189.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
183.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))

simplify68.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4868	687
1	4868	687

prune73.0ms (1.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	70	6	76

Merged error: 0.0b

Counts

76 → 6

Compiler

Compiled 1800 to 443 computations (75.4% saved)

localize15.0ms (0.3%)

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)

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_5614`
23×	`add-sqr-sqrt_binary64_5605`
15×	`*-un-lft-identity_binary64_5583` `add-cube-cbrt_binary64_5618`
11×	`pow1_binary64_5644`
9×	`pow1/3_binary64_5665`
6×	`associate-r_binary64_5523` `add-exp-log_binary64_5621` `swap-sqr_binary64_5550` `associate-l_binary64_5524`
4×	`unswap-sqr_binary64_5551` `add-cbrt-cube_binary64_5619` `add-log-exp_binary64_5622`
2×	`pow-prod-down_binary64_5654` `pow-prod-up_binary64_5653` `pow-sqr_binary64_5556`
1×	`pow-plus_binary64_5646` `pow2_binary64_5664` `prod-exp_binary64_5632` `cbrt-unprod_binary64_5616` `*-commutative_binary64_5514`

Counts

4 → 73

Calls

4 calls:

8.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series640.0ms (13.5%)

Counts

4 → 12

Calls

4 calls:

180.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
156.0ms	(cbrt.f64 z)
153.0ms	(cbrt.f64 z)
150.0ms	(cbrt.f64 z)

simplify53.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5245	563

prune87.0ms (1.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	84	7	91

Merged error: 0.0b

Counts

91 → 7

Compiler

Compiled 1879 to 601 computations (68% saved)

localize12.0ms (0.3%)

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))
0.3b	(pow.f64 (*.f64 z (sin.f64 y)) 3)
29.2b	(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))

rewrite30.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-prod_binary64_5614`
17×	`add-sqr-sqrt_binary64_5605`
15×	`*-un-lft-identity_binary64_5583`
11×	`cancel-sign-sub-inv_binary64_5549`
10×	`add-cube-cbrt_binary64_5618`
9×	`pow1_binary64_5644` `add-exp-log_binary64_5621` `add-cbrt-cube_binary64_5619` `add-log-exp_binary64_5622`
4×	`sqr-pow_binary64_5555`
3×	`cube-mult_binary64_5613` `associate-r_binary64_5523` `cube-prod_binary64_5611` `pow-unpow_binary64_5660` `unpow-prod-down_binary64_5662` `unpow3_binary64_5649` `difference-of-squares_binary64_5552` `associate-l_binary64_5524`
2×	`distribute-lft-out--_binary64_5535` `diff-log_binary64_5675` `prod-exp_binary64_5632` `cbrt-unprod_binary64_5616` `pow-prod-down_binary64_5654` `rem-cube-cbrt_binary64_5606` `pow-exp_binary64_5651` `pow-pow_binary64_5655`
1×	`sum-log_binary64_5674` `flip--_binary64_5558` `pow1/3_binary64_5665` `flip3--_binary64_5587` `unswap-sqr_binary64_5551` `associate--l+_binary64_5520` `pow-to-exp_binary64_5652` `distribute-lft-out_binary64_5534` `*-commutative_binary64_5514` `rem-cbrt-cube_binary64_5607` `sub-neg_binary64_5576`

Counts

4 → 86

Calls

4 calls:

12.0ms	(-.f64 (+.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))
5.0ms	(*.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))

series337.0ms (7.1%)

Counts

4 → 12

Calls

4 calls:

109.0ms	(-.f64 (+.f64 x (cos.f64 y)) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3)))
106.0ms	(pow.f64 (*.f64 z (sin.f64 y)) 3)
69.0ms	(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
52.0ms	(*.f64 z (sin.f64 y))

simplify79.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4921	1233
1	4921	1233

prune78.0ms (1.6%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	98	7	105

Merged error: 0.0b

Counts

105 → 7

Compiler

Compiled 1603 to 539 computations (66.4% saved)

regimes68.0ms (1.4%)

Compiler: Compiled 460 to 334 computations (27.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	14
1	37	14

end0.0ms (0%)

sample1.4s (30.3%)

Algorithm

1×

intervals

Results

469.0ms	1250×	body	1024	valid
389.0ms	5775×	body	128	valid
145.0ms	636×	body	512	valid
49.0ms	331×	body	256	valid
7.0ms	8×	body	2048	valid

Compiler

Compiled 128 to 95 computations (25.8% saved)

Details

analyze286.0ms (6.1%)

sample42.0ms (0.9%)

simplify191.0ms (4%)

prune2.0ms (0%)

localize9.0ms (0.2%)

rewrite20.0ms (0.4%)

series189.0ms (4%)

simplify58.0ms (1.2%)

prune76.0ms (1.6%)

localize13.0ms (0.3%)

rewrite21.0ms (0.5%)

series830.0ms (17.6%)

simplify68.0ms (1.4%)

prune73.0ms (1.5%)

localize15.0ms (0.3%)

rewrite18.0ms (0.4%)

series640.0ms (13.5%)

simplify53.0ms (1.1%)

prune87.0ms (1.8%)

localize12.0ms (0.3%)

rewrite30.0ms (0.6%)

series337.0ms (7.1%)

simplify79.0ms (1.7%)

prune78.0ms (1.6%)

regimes68.0ms (1.4%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.4s (30.3%)

Profiling