Details

analyze277.0ms (5.3%)

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
25%	74.9%	0.1%	6
49.9%	49.9%	0.1%	7
56.2%	43.7%	0.1%	8
56.2%	43.7%	0.1%	9
71.8%	28.1%	0.1%	10
76.5%	23.4%	0.1%	11
76.5%	23.4%	0.1%	12
85%	14.8%	0.1%	13
87.8%	12.1%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample50.0ms (1%)

Algorithm

1×

intervals

Results

25.0ms	83×	body	1024	valid
9.0ms	135×	body	128	valid
4.0ms	21×	body	512	valid
2.0ms	16×	body	256	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify95.0ms (1.8%)

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

rewrite17.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_6579`
7×	`add-cbrt-cube_binary64_6593` `add-cube-cbrt_binary64_6592` `pow1_binary64_6618` `add-exp-log_binary64_6595` `*-un-lft-identity_binary64_6557`
6×	`associate-r_binary64_6497` `associate-l_binary64_6498`
5×	`add-log-exp_binary64_6596`
2×	`*-commutative_binary64_6488` `pow-prod-down_binary64_6628` `unswap-sqr_binary64_6525` `prod-exp_binary64_6606` `cbrt-unprod_binary64_6590`
1×	`flip-+_binary64_6531` `sum-log_binary64_6648` `flip3-+_binary64_6560` `+-commutative_binary64_6487`

Counts

3 → 47

Calls

3 calls:

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

series508.0ms (9.7%)

Counts

3 → 33

Calls

3 calls:

311.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
99.0ms	(*.f64 z (cos.f64 y))
97.0ms	(*.f64 x (sin.f64 y))

Compiler

Compiled 540 to 485 computations (10.2% saved)

simplify87.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5043	898

prune71.0ms (1.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	69	11	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	11	81

Error

0.0b

Counts

81 → 11

Compiler

Compiled 1171 to 358 computations (69.4% saved)

localize11.0ms (0.2%)

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))

rewrite20.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_6588`
23×	`add-sqr-sqrt_binary64_6579`
15×	`add-cube-cbrt_binary64_6592` `*-un-lft-identity_binary64_6557`
11×	`pow1_binary64_6618`
9×	`pow1/3_binary64_6639`
6×	`associate-r_binary64_6497` `add-exp-log_binary64_6595` `associate-l_binary64_6498` `swap-sqr_binary64_6524`
4×	`add-cbrt-cube_binary64_6593` `unswap-sqr_binary64_6525` `add-log-exp_binary64_6596`
2×	`pow-prod-down_binary64_6628` `pow-sqr_binary64_6530` `pow-prod-up_binary64_6627`
1×	`*-commutative_binary64_6488` `prod-exp_binary64_6606` `cbrt-unprod_binary64_6590` `pow-plus_binary64_6620` `pow2_binary64_6638`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
4.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))

series410.0ms (7.8%)

Counts

4 → 19

Calls

4 calls:

109.0ms	(cbrt.f64 (cos.f64 y))
104.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
99.0ms	(cbrt.f64 (cos.f64 y))
97.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 682 to 542 computations (20.5% saved)

simplify74.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4857	865
1	4857	865

prune93.0ms (1.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	90	2	92
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	93	10	103

Error

0.0b

Counts

103 → 10

Compiler

Compiled 2116 to 631 computations (70.2% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite21.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`pow1_binary64_6618`
13×	`add-sqr-sqrt_binary64_6579`
11×	`add-cube-cbrt_binary64_6592` `add-exp-log_binary64_6595` `*-un-lft-identity_binary64_6557`
9×	`associate-r_binary64_6497`
8×	`add-cbrt-cube_binary64_6593`
7×	`cbrt-prod_binary64_6588`
4×	`pow-prod-down_binary64_6628` `prod-exp_binary64_6606` `associate-l_binary64_6498` `add-log-exp_binary64_6596` `cbrt-unprod_binary64_6590`
3×	`cos-mult_binary64_6711` `swap-sqr_binary64_6524`
2×	`*-commutative_binary64_6488` `pow1/3_binary64_6639` `cbrt-div_binary64_6589`
1×	`associate-l/_binary64_6500` `associate-r/_binary64_6499` `pow-sqr_binary64_6530` `unswap-sqr_binary64_6525` `pow-prod-up_binary64_6627` `sqr-cos-a_binary64_6706` `pow-plus_binary64_6620` `pow2_binary64_6638`

Counts

4 → 70

Calls

4 calls:

7.0ms	(.f64 (.f64 z (cbrt.f64 (*.f64 (cos.f64 y) (cos.f64 y)))) (cbrt.f64 (cos.f64 y)))
5.0ms	(*.f64 (cos.f64 y) (cos.f64 y))
3.0ms	(cbrt.f64 (*.f64 (cos.f64 y) (cos.f64 y)))
1.0ms	(cbrt.f64 (cos.f64 y))

series344.0ms (6.6%)

Counts

4 → 22

Calls

4 calls:

112.0ms	(cbrt.f64 (*.f64 (cos.f64 y) (cos.f64 y)))
104.0ms	(.f64 (.f64 z (cbrt.f64 (*.f64 (cos.f64 y) (cos.f64 y)))) (cbrt.f64 (cos.f64 y)))
96.0ms	(cbrt.f64 (cos.f64 y))
33.0ms	(*.f64 (cos.f64 y) (cos.f64 y))

Compiler

Compiled 630 to 542 computations (14% saved)

simplify79.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4779	803
1	4779	803

prune83.0ms (1.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	91	11	102

Error

0.0b

Counts

102 → 11

Compiler

Compiled 1833 to 632 computations (65.5% saved)

localize19.0ms (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_6588`
11×	`add-cube-cbrt_binary64_6592` `add-sqr-sqrt_binary64_6579` `*-un-lft-identity_binary64_6557`
4×	`add-cbrt-cube_binary64_6593` `pow1_binary64_6618` `pow1/3_binary64_6639` `add-exp-log_binary64_6595` `add-log-exp_binary64_6596`

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))

series410.0ms (7.9%)

Counts

4 → 20

Calls

4 calls:

107.0ms	(cbrt.f64 (cbrt.f64 (cos.f64 y)))
107.0ms	(cbrt.f64 (cbrt.f64 (cos.f64 y)))
102.0ms	(cbrt.f64 (cos.f64 y))
94.0ms	(cbrt.f64 (cbrt.f64 (cos.f64 y)))

Compiler

Compiled 1032 to 704 computations (31.8% saved)

simplify110.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4724	787
1	4724	787

prune78.0ms (1.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	73	11	84

Error

0.0b

Counts

84 → 11

Compiler

Compiled 2343 to 468 computations (80% saved)

regimes231.0ms (4.4%)

Accuracy

Total 0.1b remaining (78.6%)

Threshold costs 0.1b (78.6%)

Compiler

Compiled 2096 to 1450 computations (30.8% 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%)

sample2.1s (40.1%)

Algorithm

1×

intervals

Results

563.0ms	2011×	body	1024	valid
496.0ms	4454×	body	128	valid
204.0ms	1034×	body	512	valid
70.0ms	490×	body	256	valid
5.0ms	11×	body	2048	valid

Compiler

Compiled 537 to 374 computations (30.4% saved)

Details

analyze277.0ms (5.3%)

sample50.0ms (1%)

simplify95.0ms (1.8%)

prune3.0ms (0.1%)

localize8.0ms (0.2%)

rewrite17.0ms (0.3%)

series508.0ms (9.7%)

simplify87.0ms (1.7%)

prune71.0ms (1.4%)

localize11.0ms (0.2%)

rewrite20.0ms (0.4%)

series410.0ms (7.8%)

simplify74.0ms (1.4%)

prune93.0ms (1.8%)

localize13.0ms (0.2%)

rewrite21.0ms (0.4%)

series344.0ms (6.6%)

simplify79.0ms (1.5%)

prune83.0ms (1.6%)

localize19.0ms (0.4%)

rewrite12.0ms (0.2%)

series410.0ms (7.9%)

simplify110.0ms (2.1%)

prune78.0ms (1.5%)

regimes231.0ms (4.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.1s (40.1%)

Profiling