Details

analyze494.0ms (8.6%)

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
37.4%	62.4%	0.1%	6
49.9%	49.9%	0.1%	7
62.4%	37.4%	0.1%	8
62.4%	37.4%	0.1%	9
71.8%	28.1%	0.1%	10
79.6%	20.3%	0.1%	11
79.6%	20.3%	0.1%	12
85%	14.8%	0.1%	13
89.3%	10.5%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample79.0ms (1.4%)

Algorithm

1×

intervals

Results

30.0ms	59×	body	1024	valid
18.0ms	150×	body	128	valid
12.0ms	33×	body	512	valid
4.0ms	14×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify165.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	159	14
1	159	14

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

Merged error: 0.2b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize16.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite32.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_7602`
7×	`add-cbrt-cube_binary64_7616` `*-un-lft-identity_binary64_7580` `pow1_binary64_7641` `add-cube-cbrt_binary64_7615` `add-exp-log_binary64_7618`
6×	`associate-r_binary64_7520` `associate-l_binary64_7521`
5×	`add-log-exp_binary64_7619`
2×	`pow-prod-down_binary64_7651` `unswap-sqr_binary64_7548` `cbrt-unprod_binary64_7613` `prod-exp_binary64_7629` `*-commutative_binary64_7511`
1×	`diff-log_binary64_7672` `flip--_binary64_7555` `sub-neg_binary64_7573` `flip3--_binary64_7584` `cancel-sign-sub-inv_binary64_7546`

Counts

3 → 48

Calls

3 calls:

9.0ms	(*.f64 z (sin.f64 y))
9.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
8.0ms	(*.f64 x (cos.f64 y))

series243.0ms (4.2%)

Counts

3 → 9

Calls

3 calls:

135.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
54.0ms	(*.f64 x (cos.f64 y))
53.0ms	(*.f64 z (sin.f64 y))

simplify109.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4964	635
1	4964	635

prune105.0ms (1.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	47	10	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	10	58

Merged error: 0.1b

Counts

58 → 10

Compiler

Compiled 922 to 261 computations (71.7% saved)

localize24.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
0.3b	(cbrt.f64 (cos.f64 y))
0.3b	(cbrt.f64 (cos.f64 y))
0.3b	(cbrt.f64 (cos.f64 y))

rewrite33.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_7611`
23×	`add-sqr-sqrt_binary64_7602`
15×	`*-un-lft-identity_binary64_7580` `add-cube-cbrt_binary64_7615`
11×	`pow1_binary64_7641`
9×	`pow1/3_binary64_7662`
6×	`associate-r_binary64_7520` `swap-sqr_binary64_7547` `associate-l_binary64_7521` `add-exp-log_binary64_7618`
4×	`add-log-exp_binary64_7619` `add-cbrt-cube_binary64_7616` `unswap-sqr_binary64_7548`
2×	`pow-prod-down_binary64_7651` `pow-prod-up_binary64_7650` `pow-sqr_binary64_7553`
1×	`pow-plus_binary64_7643` `pow2_binary64_7661` `cbrt-unprod_binary64_7613` `prod-exp_binary64_7629` `*-commutative_binary64_7511`

Counts

4 → 73

Calls

4 calls:

13.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
2.0ms	(cbrt.f64 (cos.f64 y))
2.0ms	(cbrt.f64 (cos.f64 y))
2.0ms	(cbrt.f64 (cos.f64 y))

series455.0ms (7.9%)

Counts

4 → 12

Calls

4 calls:

156.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
110.0ms	(cbrt.f64 (cos.f64 y))
109.0ms	(cbrt.f64 (cos.f64 y))
79.0ms	(cbrt.f64 (cos.f64 y))

simplify148.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (125.0ms)

Iter	Nodes	Cost
0	4921	772
1	4921	772

prune169.0ms (2.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	81	4	85
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	84	11	95

Merged error: 0.0b

Counts

95 → 11

Compiler

Compiled 1975 to 584 computations (70.4% saved)

localize28.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 z (sin.f64 y))
0.1b	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
0.2b	(pow.f64 (cos.f64 y) 2)
0.3b	(cbrt.f64 (cos.f64 y))

rewrite46.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-exp-log_binary64_7618`
13×	`add-sqr-sqrt_binary64_7602`
12×	`prod-exp_binary64_7629`
11×	`*-un-lft-identity_binary64_7580` `add-cube-cbrt_binary64_7615`
10×	`add-cbrt-cube_binary64_7616`
9×	`associate-r_binary64_7520` `pow1_binary64_7641`
6×	`cbrt-prod_binary64_7611` `cbrt-unprod_binary64_7613`
5×	`pow-exp_binary64_7648`
4×	`add-log-exp_binary64_7619` `associate-l_binary64_7521`
3×	`pow-to-exp_binary64_7649` `unpow-prod-down_binary64_7659` `pow-unpow_binary64_7657`
2×	`pow-prod-down_binary64_7651` `*-commutative_binary64_7511`
1×	`unswap-sqr_binary64_7548` `unpow1/3_binary64_7647` `pow-pow_binary64_7652` `pow1/3_binary64_7662` `unpow2_binary64_7645` `sqr-pow_binary64_7552`

Counts

4 → 72

Calls

4 calls:

19.0ms	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
8.0ms	(*.f64 z (sin.f64 y))
5.0ms	(pow.f64 (cos.f64 y) 2)
2.0ms	(cbrt.f64 (cos.f64 y))

series229.0ms (4%)

Counts

4 → 12

Calls

4 calls:

96.0ms	(cbrt.f64 (cos.f64 y))
61.0ms	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
46.0ms	(*.f64 z (sin.f64 y))
25.0ms	(pow.f64 (cos.f64 y) 2)

simplify123.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (105.0ms)

Iter	Nodes	Cost
0	4951	705
1	4951	705

prune134.0ms (2.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	81	3	84
Fresh	4	6	10
Picked	0	1	1
Done	0	0	0
Total	85	10	95

Merged error: 0.0b

Counts

95 → 10

Compiler

Compiled 1696 to 721 computations (57.5% saved)

localize24.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (cos.f64 y))
0.3b	(cbrt.f64 (cbrt.f64 (cos.f64 y)))
0.3b	(cbrt.f64 (cbrt.f64 (cos.f64 y)))
0.3b	(cbrt.f64 (cbrt.f64 (cos.f64 y)))

rewrite12.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`cbrt-prod_binary64_7611`
11×	`add-sqr-sqrt_binary64_7602` `*-un-lft-identity_binary64_7580` `add-cube-cbrt_binary64_7615`
4×	`add-log-exp_binary64_7619` `add-cbrt-cube_binary64_7616` `pow1_binary64_7641` `pow1/3_binary64_7662` `add-exp-log_binary64_7618`

Counts

4 → 53

Calls

4 calls:

2.0ms	(cbrt.f64 (cbrt.f64 (cos.f64 y)))
2.0ms	(cbrt.f64 (cbrt.f64 (cos.f64 y)))
2.0ms	(cbrt.f64 (cbrt.f64 (cos.f64 y)))
1.0ms	(cbrt.f64 (cos.f64 y))

series371.0ms (6.4%)

Counts

4 → 12

Calls

4 calls:

108.0ms	(cbrt.f64 (cos.f64 y))
96.0ms	(cbrt.f64 (cbrt.f64 (cos.f64 y)))
88.0ms	(cbrt.f64 (cbrt.f64 (cos.f64 y)))
78.0ms	(cbrt.f64 (cbrt.f64 (cos.f64 y)))

simplify70.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5488	703

prune108.0ms (1.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	65	10	75

Merged error: 0.0b

Counts

75 → 10

Compiler

Compiled 2093 to 724 computations (65.4% saved)

regimes294.0ms (5.1%)

Compiler: Compiled 2104 to 1498 computations (28.8% 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%)

sample2.2s (39%)

Algorithm

1×

intervals

Results

653.0ms	1931×	body	1024	valid
395.0ms	4538×	body	128	valid
239.0ms	1038×	body	512	valid
79.0ms	487×	body	256	valid
5.0ms	6×	body	2048	valid

Compiler

Compiled 539 to 386 computations (28.4% saved)

Details

analyze494.0ms (8.6%)

sample79.0ms (1.4%)

simplify165.0ms (2.9%)

prune4.0ms (0.1%)

localize16.0ms (0.3%)

rewrite32.0ms (0.6%)

series243.0ms (4.2%)

simplify109.0ms (1.9%)

prune105.0ms (1.8%)

localize24.0ms (0.4%)

rewrite33.0ms (0.6%)

series455.0ms (7.9%)

simplify148.0ms (2.6%)

prune169.0ms (2.9%)

localize28.0ms (0.5%)

rewrite46.0ms (0.8%)

series229.0ms (4%)

simplify123.0ms (2.1%)

prune134.0ms (2.3%)

localize24.0ms (0.4%)

rewrite12.0ms (0.2%)

series371.0ms (6.4%)

simplify70.0ms (1.2%)

prune108.0ms (1.9%)

regimes294.0ms (5.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.2s (39%)

Profiling