Details

analyze359.0ms (8.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	56
1	34	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
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)

sample53.0ms (1.3%)

Algorithm

1×

intervals

Results

24.0ms	74×	body	1024	valid
10.0ms	137×	body	128	valid
8.0ms	37×	body	512	valid
1.0ms	8×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

prune3.0ms (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

0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize8.0ms (0.2%)

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))

rewrite16.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_3169`
7×	`*-un-lft-identity_binary64_3147` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `pow1_binary64_3208` `add-cube-cbrt_binary64_3182`
6×	`associate-r_binary64_3087` `associate-l_binary64_3088`
5×	`add-log-exp_binary64_3186`
2×	`*-commutative_binary64_3078` `unswap-sqr_binary64_3115` `pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180`
1×	`flip-+_binary64_3121` `flip3-+_binary64_3150` `+-commutative_binary64_3077` `sum-log_binary64_3238`

Counts

3 → 47

Calls

3 calls:

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

series136.0ms (3.3%)

Counts

3 → 9

Calls

3 calls:

75.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
31.0ms	(*.f64 x (cos.f64 y))
30.0ms	(*.f64 z (sin.f64 y))

simplify88.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5082	619

prune59.0ms (1.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	44	12	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	12	57

Error

0.0b

Counts

57 → 12

Compiler

Compiled 934 to 282 computations (69.8% saved)

localize12.0ms (0.3%)

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))

rewrite17.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_3178`
23×	`add-sqr-sqrt_binary64_3169`
15×	`*-un-lft-identity_binary64_3147` `add-cube-cbrt_binary64_3182`
11×	`pow1_binary64_3208`
9×	`pow1/3_binary64_3229`
6×	`add-exp-log_binary64_3185` `swap-sqr_binary64_3114` `associate-r_binary64_3087` `associate-l_binary64_3088`
4×	`unswap-sqr_binary64_3115` `add-cbrt-cube_binary64_3183` `add-log-exp_binary64_3186`
2×	`pow-prod-down_binary64_3218` `pow-prod-up_binary64_3217` `pow-sqr_binary64_3120`
1×	`*-commutative_binary64_3078` `prod-exp_binary64_3196` `pow-plus_binary64_3210` `pow2_binary64_3228` `cbrt-unprod_binary64_3180`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
1.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))

series311.0ms (7.5%)

Counts

4 → 12

Calls

4 calls:

106.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
73.0ms	(cbrt.f64 (cos.f64 y))
68.0ms	(cbrt.f64 (cos.f64 y))
64.0ms	(cbrt.f64 (cos.f64 y))

simplify83.0ms (2%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4921	772
1	4921	772

prune90.0ms (2.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	1	10	11
Picked	0	1	1
Done	0	0	0
Total	84	13	97

Error

0.0b

Counts

97 → 13

Compiler

Compiled 1971 to 580 computations (70.6% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite25.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-exp-log_binary64_3185`
13×	`add-sqr-sqrt_binary64_3169`
12×	`prod-exp_binary64_3196`
11×	`*-un-lft-identity_binary64_3147` `add-cube-cbrt_binary64_3182`
10×	`add-cbrt-cube_binary64_3183`
9×	`associate-r_binary64_3087` `pow1_binary64_3208`
6×	`cbrt-unprod_binary64_3180` `cbrt-prod_binary64_3178`
5×	`pow-exp_binary64_3215`
4×	`add-log-exp_binary64_3186` `associate-l_binary64_3088`
3×	`unpow-prod-down_binary64_3226` `pow-to-exp_binary64_3216` `pow-unpow_binary64_3224`
2×	`*-commutative_binary64_3078` `pow-prod-down_binary64_3218`
1×	`unswap-sqr_binary64_3115` `pow1/3_binary64_3229` `unpow2_binary64_3212` `sqr-pow_binary64_3119` `unpow1/3_binary64_3214` `pow-pow_binary64_3219`

Counts

4 → 72

Calls

4 calls:

11.0ms	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
5.0ms	(*.f64 z (sin.f64 y))
3.0ms	(pow.f64 (cos.f64 y) 2)
1.0ms	(cbrt.f64 (cos.f64 y))

series149.0ms (3.6%)

Counts

4 → 12

Calls

4 calls:

69.0ms	(cbrt.f64 (cos.f64 y))
35.0ms	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
31.0ms	(*.f64 z (sin.f64 y))
14.0ms	(pow.f64 (cos.f64 y) 2)

simplify77.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4951	705
1	4951	705

prune80.0ms (1.9%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	84	13	97

Error

0.0b

Counts

97 → 13

Compiler

Compiled 1707 to 727 computations (57.4% saved)

localize14.0ms (0.3%)

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)))
0.5b	(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 5)

rewrite16.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`cbrt-prod_binary64_3178`
13×	`*-un-lft-identity_binary64_3147` `add-sqr-sqrt_binary64_3169` `add-cube-cbrt_binary64_3182`
9×	`unpow-prod-down_binary64_3226`
5×	`add-exp-log_binary64_3185` `pow1_binary64_3208`
4×	`pow1/3_binary64_3229` `add-cbrt-cube_binary64_3183` `add-log-exp_binary64_3186`
3×	`pow-unpow_binary64_3224`
2×	`pow-pow_binary64_3219`
1×	`pow-exp_binary64_3215` `pow-to-exp_binary64_3216` `sqr-pow_binary64_3119`

Counts

4 → 63

Calls

4 calls:

6.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 5)
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))

series316.0ms (7.6%)

Counts

4 → 12

Calls

4 calls:

109.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 5)
70.0ms	(cbrt.f64 (cbrt.f64 (cos.f64 y)))
69.0ms	(cbrt.f64 (cbrt.f64 (cos.f64 y)))
68.0ms	(cbrt.f64 (cos.f64 y))

simplify68.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5032	920

prune80.0ms (1.9%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	10	10
Picked	0	1	1
Done	0	2	2
Total	75	13	88

Error

0.0b

Counts

88 → 13

Compiler

Compiled 1985 to 668 computations (66.3% saved)

regimes186.0ms (4.5%)

Accuracy

Total 0.1b remaining (78.9%)

Threshold costs 0.1b (78.9%)

Compiler

Compiled 1576 to 1130 computations (28.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

end0.0ms (0%)

sample1.9s (45.2%)

Algorithm

1×

intervals

Results

586.0ms	2027×	body	1024	valid
329.0ms	4486×	body	128	valid
209.0ms	996×	body	512	valid
76.0ms	482×	body	256	valid
5.0ms	9×	body	2048	valid

Compiler

Compiled 407 to 294 computations (27.8% saved)

Details

analyze359.0ms (8.7%)

sample53.0ms (1.3%)

simplify7.0ms (0.2%)

prune3.0ms (0.1%)

localize8.0ms (0.2%)

rewrite16.0ms (0.4%)

series136.0ms (3.3%)

simplify88.0ms (2.1%)

prune59.0ms (1.4%)

localize12.0ms (0.3%)

rewrite17.0ms (0.4%)

series311.0ms (7.5%)

simplify83.0ms (2%)

prune90.0ms (2.2%)

localize14.0ms (0.3%)

rewrite25.0ms (0.6%)

series149.0ms (3.6%)

simplify77.0ms (1.9%)

prune80.0ms (1.9%)

localize14.0ms (0.3%)

rewrite16.0ms (0.4%)

series316.0ms (7.6%)

simplify68.0ms (1.6%)

prune80.0ms (1.9%)

regimes186.0ms (4.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.9s (45.2%)

Profiling