Details

analyze255.0ms (4.4%)

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)

sample52.0ms (0.9%)

Algorithm

1×

intervals

Results

25.0ms	70×	body	1024	valid
10.0ms	148×	body	128	valid
5.0ms	23×	body	512	valid
2.0ms	15×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify99.0ms (1.7%)

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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize8.0ms (0.1%)

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

rewrite22.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_5897`
7×	`add-cube-cbrt_binary64_5910` `add-exp-log_binary64_5913` `*-un-lft-identity_binary64_5875` `add-cbrt-cube_binary64_5911` `pow1_binary64_5936`
6×	`associate-r_binary64_5815` `associate-l_binary64_5816`
5×	`add-log-exp_binary64_5914`
2×	`pow-prod-down_binary64_5946` `cbrt-unprod_binary64_5908` `unswap-sqr_binary64_5843` `prod-exp_binary64_5924` `*-commutative_binary64_5806`
1×	`flip-+_binary64_5849` `flip3-+_binary64_5878` `sum-log_binary64_5966` `+-commutative_binary64_5805`

Counts

3 → 47

Calls

3 calls:

9.0ms	(*.f64 z (sin.f64 y))
5.0ms	(*.f64 x (cos.f64 y))
4.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

series510.0ms (8.8%)

Counts

3 → 34

Calls

3 calls:

321.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
101.0ms	(*.f64 z (sin.f64 y))
88.0ms	(*.f64 x (cos.f64 y))

Compiler

Compiled 554 to 498 computations (10.1% saved)

simplify96.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4898	937
1	4898	937

prune75.0ms (1.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	70	11	81
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	11	82

Merged error: 0.0b

Counts

82 → 11

Compiler

Compiled 1181 to 379 computations (67.9% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.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))

rewrite18.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_5906`
23×	`add-sqr-sqrt_binary64_5897`
15×	`add-cube-cbrt_binary64_5910` `*-un-lft-identity_binary64_5875`
11×	`pow1_binary64_5936`
9×	`pow1/3_binary64_5957`
6×	`add-exp-log_binary64_5913` `associate-r_binary64_5815` `associate-l_binary64_5816` `swap-sqr_binary64_5842`
4×	`unswap-sqr_binary64_5843` `add-cbrt-cube_binary64_5911` `add-log-exp_binary64_5914`
2×	`pow-prod-down_binary64_5946` `pow-sqr_binary64_5848` `pow-prod-up_binary64_5945`
1×	`pow-plus_binary64_5938` `cbrt-unprod_binary64_5908` `pow2_binary64_5956` `prod-exp_binary64_5924` `*-commutative_binary64_5806`

Counts

4 → 73

Calls

4 calls:

8.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
2.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))

series332.0ms (5.7%)

Counts

4 → 15

Calls

4 calls:

87.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
83.0ms	(cbrt.f64 (cos.f64 y))
81.0ms	(cbrt.f64 (cos.f64 y))
81.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 556 to 440 computations (20.9% saved)

simplify60.0ms (1%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5113	798

prune92.0ms (1.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	84	4	88
Fresh	1	9	10
Picked	1	0	1
Done	0	0	0
Total	86	13	99

Merged error: 0.0b

Counts

99 → 13

Compiler

Compiled 2062 to 620 computations (69.9% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite28.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-exp-log_binary64_5913`
19×	`add-sqr-sqrt_binary64_5897`
16×	`prod-exp_binary64_5924`
14×	`associate-r_binary64_5815`
13×	`add-cube-cbrt_binary64_5910` `*-un-lft-identity_binary64_5875` `add-cbrt-cube_binary64_5911` `pow1_binary64_5936`
8×	`cbrt-unprod_binary64_5908`
7×	`associate-l_binary64_5816`
6×	`cbrt-prod_binary64_5906`
4×	`unswap-sqr_binary64_5843` `pow-exp_binary64_5943` `add-log-exp_binary64_5914`
3×	`*-commutative_binary64_5806` `swap-sqr_binary64_5842`
2×	`pow-prod-down_binary64_5946` `unpow1/3_binary64_5942` `unpow-prod-down_binary64_5954` `sqr-pow_binary64_5847` `pow-to-exp_binary64_5944`
1×	`sqr-cos-a_binary64_6024` `pow-plus_binary64_5938` `pow-sqr_binary64_5848` `pow2_binary64_5956` `pow-prod-up_binary64_5945` `cos-mult_binary64_6029` `pow1/3_binary64_5957`

Counts

4 → 87

Calls

4 calls:

9.0ms	(.f64 (.f64 x (pow.f64 (*.f64 (cos.f64 y) (cos.f64 y)) 1/3)) (cbrt.f64 (cos.f64 y)))
6.0ms	(.f64 x (pow.f64 (.f64 (cos.f64 y) (cos.f64 y)) 1/3))
5.0ms	(*.f64 (cos.f64 y) (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))

series481.0ms (8.3%)

Counts

4 → 20

Calls

4 calls:

289.0ms	(.f64 x (pow.f64 (.f64 (cos.f64 y) (cos.f64 y)) 1/3))
90.0ms	(.f64 (.f64 x (pow.f64 (*.f64 (cos.f64 y) (cos.f64 y)) 1/3)) (cbrt.f64 (cos.f64 y)))
82.0ms	(cbrt.f64 (cos.f64 y))
19.0ms	(*.f64 (cos.f64 y) (cos.f64 y))

Compiler

Compiled 620 to 535 computations (13.7% saved)

simplify78.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4894	961
1	4894	961

prune105.0ms (1.8%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	1	11	12
Picked	0	1	1
Done	0	0	0
Total	107	13	120

Merged error: 0.0b

Counts

120 → 13

Compiler

Compiled 2158 to 860 computations (60.1% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 x (pow.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 2) 1/3))
0.2b	(.f64 (.f64 x (pow.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
0.3b	(cbrt.f64 (cos.f64 y))
0.4b	(+.f64 1 (cos.f64 (+.f64 y y)))

rewrite44.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-exp-log_binary64_5913` `associate-r_binary64_5815`
25×	`add-sqr-sqrt_binary64_5897` `*-un-lft-identity_binary64_5875`
18×	`unpow-prod-down_binary64_5954`
17×	`add-cube-cbrt_binary64_5910`
13×	`times-frac_binary64_5881` `prod-exp_binary64_5924`
11×	`add-cbrt-cube_binary64_5911`
7×	`cbrt-unprod_binary64_5908`
6×	`cbrt-prod_binary64_5906` `pow1_binary64_5936` `add-log-exp_binary64_5914`
4×	`distribute-lft-out_binary64_5826` `associate-l_binary64_5816` `unswap-sqr_binary64_5843` `pow-exp_binary64_5943`
2×	`unpow1/3_binary64_5942` `div-exp_binary64_5926` `sqr-pow_binary64_5847` `*-commutative_binary64_5806` `associate-+r-_binary64_5809` `pow-to-exp_binary64_5944`
1×	`flip-+_binary64_5849` `flip3-+_binary64_5878` `pow-prod-down_binary64_5946` `div-inv_binary64_5872` `count-2_binary64_5823` `cos-sum_binary64_6009` `cos-2_binary64_6017` `sum-log_binary64_5966` `+-commutative_binary64_5805` `pow1/3_binary64_5957`

Counts

4 → 90

Calls

4 calls:

15.0ms	(.f64 (.f64 x (pow.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
13.0ms	(*.f64 x (pow.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 2) 1/3))
6.0ms	(+.f64 1 (cos.f64 (+.f64 y y)))
1.0ms	(cbrt.f64 (cos.f64 y))

series954.0ms (16.5%)

Counts

4 → 20

Calls

4 calls:

490.0ms	(.f64 (.f64 x (pow.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
354.0ms	(*.f64 x (pow.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 2) 1/3))
92.0ms	(cbrt.f64 (cos.f64 y))
17.0ms	(+.f64 1 (cos.f64 (+.f64 y y)))

Compiler

Compiled 823 to 741 computations (10% saved)

simplify86.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4898	1910
1	4898	1910

prune122.0ms (2.1%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	109	14	123

Merged error: 0.0b

Counts

123 → 14

Compiler

Compiled 2777 to 1339 computations (51.8% saved)

regimes239.0ms (4.1%)

Compiler: Compiled 2076 to 1478 computations (28.8% 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%)

sample2.0s (34.2%)

Algorithm

1×

intervals

Results

597.0ms	2057×	body	1024	valid
338.0ms	4487×	body	128	valid
189.0ms	936×	body	512	valid
72.0ms	514×	body	256	valid
3.0ms	6×	body	2048	valid

Compiler

Compiled 532 to 381 computations (28.4% saved)

Details

analyze255.0ms (4.4%)

sample52.0ms (0.9%)

simplify99.0ms (1.7%)

prune3.0ms (0.1%)

localize8.0ms (0.1%)

rewrite22.0ms (0.4%)

series510.0ms (8.8%)

simplify96.0ms (1.7%)

prune75.0ms (1.3%)

localize12.0ms (0.2%)

rewrite18.0ms (0.3%)

series332.0ms (5.7%)

simplify60.0ms (1%)

prune92.0ms (1.6%)

localize13.0ms (0.2%)

rewrite28.0ms (0.5%)

series481.0ms (8.3%)

simplify78.0ms (1.4%)

prune105.0ms (1.8%)

localize17.0ms (0.3%)

rewrite44.0ms (0.8%)

series954.0ms (16.5%)

simplify86.0ms (1.5%)

prune122.0ms (2.1%)

regimes239.0ms (4.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.0s (34.2%)

Profiling