Details

analyze441.0ms (9.4%)

Algorithm

1×	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%	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
12.5%	87.4%	0.1%	6
34.3%	65.5%	0.1%	7
46.8%	53%	0.1%	8
48%	51.9%	0.1%	9
63%	36.9%	0.1%	10
71.7%	28.2%	0.1%	11
72%	27.8%	0.1%	12
80.5%	19.4%	0.1%	13
85.4%	14.5%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample35.0ms (0.7%)

Algorithm

1×

intervals

Results

12.0ms	201×	body	128	valid
8.0ms	30×	body	1024	valid
3.0ms	18×	body	512	valid
1.0ms	7×	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	20	14
1	20	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)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite54.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

10×	`add-log-exp_binary64_2845`
7×	`add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806`
5×	`pow1_binary64_2867` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `add-cube-cbrt_binary64_2841`
4×	`sum-log_binary64_2897`
3×	`associate-l_binary64_2747` `associate-r_binary64_2746`
2×	`flip3-+_binary64_2809` `flip-+_binary64_2780` `+-commutative_binary64_2736`
1×	`pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `unswap-sqr_binary64_2774` `*-commutative_binary64_2737` `distribute-lft-out_binary64_2757` `associate-+l+_binary64_2739`

Counts

3 → 43

Calls

3 calls:

7.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
4.0ms	(*.f64 z (cos.f64 y))
3.0ms	(+.f64 x (sin.f64 y))

Compiler

Compiled 678 to 160 computations (76.4% saved)

series336.0ms (7.2%)

Error

0.0b

Counts

3 → 39

Calls

3 calls:

185.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
74.0ms	(*.f64 z (cos.f64 y))
52.0ms	(+.f64 x (sin.f64 y))

Compiler

Compiled 886 to 566 computations (36.1% saved)

simplify96.0ms (2%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4932	932
1	4932	932

prune59.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	79	3	82
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	79	4	83

Error

0.0b

Counts

83 → 4

Compiler

Compiled 1016 to 242 computations (76.2% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite72.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_2837`
23×	`add-sqr-sqrt_binary64_2828`
15×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
11×	`pow1_binary64_2867`
9×	`pow1/3_binary64_2888`
6×	`add-exp-log_binary64_2844` `swap-sqr_binary64_2773` `associate-l_binary64_2747` `associate-r_binary64_2746`
4×	`add-log-exp_binary64_2845` `add-cbrt-cube_binary64_2842` `unswap-sqr_binary64_2774`
2×	`pow-prod-down_binary64_2877` `pow-prod-up_binary64_2876` `pow-sqr_binary64_2779`
1×	`pow2_binary64_2887` `pow-plus_binary64_2869` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `*-commutative_binary64_2737`

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)

series314.0ms (6.7%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

85.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
77.0ms	(cbrt.f64 z)
73.0ms	(cbrt.f64 z)
68.0ms	(cbrt.f64 z)

Compiler

Compiled 663 to 450 computations (32.1% saved)

simplify74.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune66.0ms (1.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	84	5	89

Error

0.0b

Counts

89 → 5

Compiler

Compiled 1613 to 404 computations (75% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (cos.f64 y) (cbrt.f64 z))
0.3b	(.f64 (cbrt.f64 (.f64 z z)) (*.f64 (cos.f64 y) (cbrt.f64 z)))
0.5b	(cbrt.f64 z)
29.5b	(cbrt.f64 (*.f64 z z))

rewrite62.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`add-sqr-sqrt_binary64_2828`
11×	`pow1_binary64_2867` `add-exp-log_binary64_2844`
9×	`add-cube-cbrt_binary64_2841` `cbrt-prod_binary64_2837` `*-un-lft-identity_binary64_2806`
7×	`add-cbrt-cube_binary64_2842` `associate-l_binary64_2747` `associate-r_binary64_2746`
4×	`add-log-exp_binary64_2845` `pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839`
2×	`pow1/3_binary64_2888` `*-commutative_binary64_2737` `unswap-sqr_binary64_2774`

Counts

4 → 61

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 z z)) (*.f64 (cos.f64 y) (cbrt.f64 z)))
5.0ms	(*.f64 (cos.f64 y) (cbrt.f64 z))
2.0ms	(cbrt.f64 (*.f64 z z))
1.0ms	(cbrt.f64 z)

Compiler

Compiled 1245 to 262 computations (79% saved)

series410.0ms (8.8%)

Error

0.0b

Counts

4 → 22

Calls

4 calls:

170.0ms	(*.f64 (cos.f64 y) (cbrt.f64 z))
77.0ms	(cbrt.f64 z)
74.0ms	(cbrt.f64 (*.f64 z z))
72.0ms	(.f64 (cbrt.f64 (.f64 z z)) (*.f64 (cos.f64 y) (cbrt.f64 z)))

Compiler

Compiled 957 to 662 computations (30.8% saved)

simplify113.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	4976	725
1	4976	725

prune58.0ms (1.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	83	5	88

Error

0.0b

Counts

88 → 5

Compiler

Compiled 1408 to 363 computations (74.2% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (sin.f64 y) x)
0.1b	(*.f64 z (cos.f64 y))
0.2b	(pow.f64 (+.f64 (sin.f64 y) x) 3)
28.1b	(cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3))

rewrite91.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

22×	`*-un-lft-identity_binary64_2806`
14×	`cbrt-prod_binary64_2837` `add-sqr-sqrt_binary64_2828`
12×	`add-cube-cbrt_binary64_2841`
8×	`unpow-prod-down_binary64_2885` `cube-prod_binary64_2834`
7×	`pow1_binary64_2867` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
6×	`add-log-exp_binary64_2845`
5×	`distribute-lft-out_binary64_2757`
4×	`cube-div_binary64_2835`
3×	`flip3-+_binary64_2809` `flip-+_binary64_2780` `pow-unpow_binary64_2883` `associate-l_binary64_2747` `associate-r_binary64_2746`
2×	`cbrt-div_binary64_2838` `unpow3_binary64_2872` `cube-mult_binary64_2836` `sqr-pow_binary64_2778`
1×	`pow1/3_binary64_2888` `rem-cbrt-cube_binary64_2830` `pow-pow_binary64_2878` `pow-to-exp_binary64_2875` `pow-exp_binary64_2874` `rem-cube-cbrt_binary64_2829` `pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `unswap-sqr_binary64_2774` `*-commutative_binary64_2737` `sum-log_binary64_2897` `+-commutative_binary64_2736`

Counts

4 → 82

Calls

4 calls:

5.0ms	(pow.f64 (+.f64 (sin.f64 y) x) 3)
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3))
4.0ms	(*.f64 z (cos.f64 y))
4.0ms	(+.f64 (sin.f64 y) x)

Compiler

Compiled 1570 to 611 computations (61.1% saved)

series330.0ms (7%)

Error

0.0b

Counts

4 → 51

Calls

4 calls:

99.0ms	(pow.f64 (+.f64 (sin.f64 y) x) 3)
75.0ms	(*.f64 z (cos.f64 y))
59.0ms	(cbrt.f64 (pow.f64 (+.f64 (sin.f64 y) x) 3))
59.0ms	(+.f64 (sin.f64 y) x)

Compiler

Compiled 1747 to 1231 computations (29.5% saved)

simplify98.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4940	1498
1	4940	1498

prune97.0ms (2.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	133	5	138

Error

0.0b

Counts

138 → 5

Compiler

Compiled 2042 to 752 computations (63.2% saved)

regimes196.0ms (4.2%)

Accuracy

Total 0.0b remaining (66.6%)

Threshold costs 0.0b (66.6%)

Compiler

Compiled 1536 to 1130 computations (26.4% 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%)

sample1.6s (34.8%)

Algorithm

1×

intervals

Results

368.0ms	5746×	body	128	valid
350.0ms	1272×	body	1024	valid
131.0ms	653×	body	512	valid
41.0ms	322×	body	256	valid
4.0ms	7×	body	2048	valid

Compiler

Compiled 397 to 294 computations (25.9% saved)

Details

analyze441.0ms (9.4%)

sample35.0ms (0.7%)

simplify7.0ms (0.2%)

prune2.0ms (0%)

localize8.0ms (0.2%)

rewrite54.0ms (1.2%)

series336.0ms (7.2%)

simplify96.0ms (2%)

prune59.0ms (1.3%)

localize13.0ms (0.3%)

rewrite72.0ms (1.5%)

series314.0ms (6.7%)

simplify74.0ms (1.6%)

prune66.0ms (1.4%)

localize13.0ms (0.3%)

rewrite62.0ms (1.3%)

series410.0ms (8.8%)

simplify113.0ms (2.4%)

prune58.0ms (1.2%)

localize10.0ms (0.2%)

rewrite91.0ms (1.9%)

series330.0ms (7%)

simplify98.0ms (2.1%)

prune97.0ms (2.1%)

regimes196.0ms (4.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.6s (34.8%)

Profiling