Details

analyze2.0s (7.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	74.8%	25.2%	8
0%	74.8%	25.2%	9
0%	74.8%	25.2%	10
0%	74.8%	25.2%	11
0%	74.8%	25.2%	12
24.9%	49.9%	25.2%	13
24.9%	37.4%	37.7%	14

Compiler

Compiled 20 to 20 computations (0% saved)

sample134.0ms (0.5%)

Algorithm

1×

intervals

Results

37.0ms	58×	body	1024	valid
22.0ms	153×	body	128	valid
21.0ms	23×	body	2048	valid
11.0ms	72×	body	128	nan
6.0ms	14×	body	512	valid
4.0ms	31×	body	128	invalid
3.0ms	8×	body	256	valid

Compiler

Compiled 39 to 45 computations (-15.4% saved)

simplify250.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	757	29
1	757	29

prune6.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 20.7b

Counts

2 → 1

Compiler

Compiled 38 to 38 computations (0% saved)

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (*.f64 z t) 3)
0.2b	(/.f64 a (*.f64 b 3))
0.2b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
24.1b	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))

rewrite61.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528`
11×	`add-sqr-sqrt_binary64_18514` `add-cube-cbrt_binary64_18527` `*-un-lft-identity_binary64_18492`
9×	`pow1_binary64_18553` `times-frac_binary64_18498`
8×	`cos-sum_binary64_18626`
7×	`cancel-sign-sub-inv_binary64_18458`
5×	`prod-exp_binary64_18541` `cbrt-unprod_binary64_18525`
4×	`div-exp_binary64_18543` `associate-/l_binary64_18437` `add-log-exp_binary64_18531` `cbrt-undiv_binary64_18526` `associate-/r_binary64_18436`
3×	`cos-diff_binary64_18629` `div-inv_binary64_18489` `associate-r_binary64_18432` `pow-prod-down_binary64_18563`
2×	`frac-2neg_binary64_18503` `clear-num_binary64_18491`
1×	`distribute-rgt-in_binary64_18442` `associate-l_binary64_18433` `sub-neg_binary64_18485` `*-commutative_binary64_18423` `distribute-lft-in_binary64_18441`

Counts

4 → 78

Calls

4 calls:

18.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
14.0ms	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))
9.0ms	(/.f64 (*.f64 z t) 3)
8.0ms	(/.f64 a (*.f64 b 3))

series341.0ms (1.3%)

Counts

4 → 12

Calls

4 calls:

227.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
66.0ms	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))
25.0ms	(/.f64 (*.f64 z t) 3)
23.0ms	(/.f64 a (*.f64 b 3))

simplify127.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4928	1387
1	4928	1387

prune321.0ms (1.2%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	70	20	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	20	91

Merged error: 16.7b

Counts

91 → 20

Compiler

Compiled 2649 to 1767 computations (33.3% saved)

localize38.0ms (0.1%)

Local error

Found 4 expressions with local error:

15.5b	(cbrt.f64 (/.f64 (*.f64 z t) 3))
15.5b	(cbrt.f64 (/.f64 (*.f64 z t) 3))
15.5b	(cbrt.f64 (/.f64 (*.f64 z t) 3))
24.1b	(cos.f64 (-.f64 y (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))) (cbrt.f64 (/.f64 (*.f64 z t) 3)))))

rewrite37.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`cbrt-prod_binary64_18523`
10×	`add-sqr-sqrt_binary64_18514` `add-cube-cbrt_binary64_18527` `*-un-lft-identity_binary64_18492`
9×	`times-frac_binary64_18498`
4×	`add-exp-log_binary64_18530` `pow1_binary64_18553` `add-cbrt-cube_binary64_18528` `add-log-exp_binary64_18531`
3×	`pow1/3_binary64_18574` `cbrt-div_binary64_18524` `div-inv_binary64_18489`
2×	`cos-sum_binary64_18626`
1×	`cos-diff_binary64_18629` `sub-neg_binary64_18485` `cancel-sign-sub-inv_binary64_18458`

Counts

4 → 58

Calls

4 calls:

8.0ms	(cos.f64 (-.f64 y (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))) (cbrt.f64 (/.f64 (*.f64 z t) 3)))))
6.0ms	(cbrt.f64 (/.f64 (*.f64 z t) 3))
6.0ms	(cbrt.f64 (/.f64 (*.f64 z t) 3))
5.0ms	(cbrt.f64 (/.f64 (*.f64 z t) 3))

series566.0ms (2.2%)

Counts

4 → 12

Calls

4 calls:

158.0ms	(cos.f64 (-.f64 y (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))) (cbrt.f64 (/.f64 (*.f64 z t) 3)))))
146.0ms	(cbrt.f64 (/.f64 (*.f64 z t) 3))
136.0ms	(cbrt.f64 (/.f64 (*.f64 z t) 3))
125.0ms	(cbrt.f64 (/.f64 (*.f64 z t) 3))

simplify177.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (146.0ms)

Iter	Nodes	Cost
0	4768	983
1	4768	983

prune297.0ms (1.2%)

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	62	8	70
Fresh	3	16	19
Picked	0	1	1
Done	0	0	0
Total	65	25	90

Merged error: 16.5b

Counts

90 → 25

Compiler

Compiled 3267 to 2184 computations (33.1% saved)

localize54.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (/.f64 t (cbrt.f64 3)))
15.5b	(cbrt.f64 (/.f64 (*.f64 z t) 3))
15.5b	(cbrt.f64 (/.f64 (*.f64 z t) 3))
24.1b	(cos.f64 (-.f64 y (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))) (.f64 (cbrt.f64 (/.f64 z (.f64 (cbrt.f64 3) (cbrt.f64 3)))) (cbrt.f64 (/.f64 t (cbrt.f64 3)))))))

rewrite48.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`cbrt-prod_binary64_18523`
24×	`times-frac_binary64_18498`
21×	`add-sqr-sqrt_binary64_18514` `add-cube-cbrt_binary64_18527` `*-un-lft-identity_binary64_18492`
4×	`add-exp-log_binary64_18530` `pow1_binary64_18553` `add-cbrt-cube_binary64_18528` `add-log-exp_binary64_18531`
3×	`pow1/3_binary64_18574` `cbrt-div_binary64_18524` `div-inv_binary64_18489`
2×	`cos-sum_binary64_18626`
1×	`cos-diff_binary64_18629` `sub-neg_binary64_18485` `cancel-sign-sub-inv_binary64_18458`

Counts

4 → 73

Calls

4 calls:

8.0ms	(cos.f64 (-.f64 y (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))) (.f64 (cbrt.f64 (/.f64 z (.f64 (cbrt.f64 3) (cbrt.f64 3)))) (cbrt.f64 (/.f64 t (cbrt.f64 3)))))))
6.0ms	(cbrt.f64 (/.f64 t (cbrt.f64 3)))
5.0ms	(cbrt.f64 (/.f64 (*.f64 z t) 3))
5.0ms	(cbrt.f64 (/.f64 (*.f64 z t) 3))

series862.0ms (3.3%)

Counts

4 → 12

Calls

4 calls:

298.0ms	(cbrt.f64 (/.f64 t (cbrt.f64 3)))
264.0ms	(cos.f64 (-.f64 y (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))) (.f64 (cbrt.f64 (/.f64 z (.f64 (cbrt.f64 3) (cbrt.f64 3)))) (cbrt.f64 (/.f64 t (cbrt.f64 3)))))))
155.0ms	(cbrt.f64 (/.f64 (*.f64 z t) 3))
145.0ms	(cbrt.f64 (/.f64 (*.f64 z t) 3))

simplify129.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	5004	1921

prune533.0ms (2.1%)

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	74	11	85
Fresh	6	17	23
Picked	1	0	1
Done	1	0	1
Total	82	28	110

Merged error: 16.4b

Counts

110 → 28

Compiler

Compiled 5261 to 3889 computations (26.1% saved)

localize78.0ms (0.3%)

Local error

Found 4 expressions with local error:

15.5b	(cbrt.f64 (/.f64 (*.f64 z t) 3))
15.5b	(cbrt.f64 (/.f64 (*.f64 z t) 3))
27.3b	(sin.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))) (.f64 (cbrt.f64 (/.f64 z (.f64 (cbrt.f64 3) (cbrt.f64 3)))) (cbrt.f64 (/.f64 t (cbrt.f64 3))))))
27.8b	(cos.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))) (.f64 (cbrt.f64 (/.f64 z (.f64 (cbrt.f64 3) (cbrt.f64 3)))) (cbrt.f64 (/.f64 t (cbrt.f64 3))))))

rewrite50.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`cbrt-prod_binary64_18523`
8×	`add-sqr-sqrt_binary64_18514` `add-cube-cbrt_binary64_18527` `*-un-lft-identity_binary64_18492`
6×	`times-frac_binary64_18498`
4×	`add-exp-log_binary64_18530` `pow1_binary64_18553` `add-cbrt-cube_binary64_18528` `add-log-exp_binary64_18531`
2×	`pow1/3_binary64_18574` `cbrt-div_binary64_18524` `div-inv_binary64_18489`

Counts

4 → 46

Calls

4 calls:

10.0ms	(sin.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))) (.f64 (cbrt.f64 (/.f64 z (.f64 (cbrt.f64 3) (cbrt.f64 3)))) (cbrt.f64 (/.f64 t (cbrt.f64 3))))))
10.0ms	(cos.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))) (.f64 (cbrt.f64 (/.f64 z (.f64 (cbrt.f64 3) (cbrt.f64 3)))) (cbrt.f64 (/.f64 t (cbrt.f64 3))))))
6.0ms	(cbrt.f64 (/.f64 (*.f64 z t) 3))
6.0ms	(cbrt.f64 (/.f64 (*.f64 z t) 3))

series512.0ms (2%)

Counts

4 → 12

Calls

4 calls:

153.0ms	(cbrt.f64 (/.f64 (*.f64 z t) 3))
146.0ms	(cbrt.f64 (/.f64 (*.f64 z t) 3))
119.0ms	(sin.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))) (.f64 (cbrt.f64 (/.f64 z (.f64 (cbrt.f64 3) (cbrt.f64 3)))) (cbrt.f64 (/.f64 t (cbrt.f64 3))))))
94.0ms	(cos.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 z t) 3)) (cbrt.f64 (/.f64 (.f64 z t) 3))) (.f64 (cbrt.f64 (/.f64 z (.f64 (cbrt.f64 3) (cbrt.f64 3)))) (cbrt.f64 (/.f64 t (cbrt.f64 3))))))

simplify138.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	4956	1414
1	4956	1414

prune456.0ms (1.8%)

Pruning

36 alts after pruning (36 fresh and 0 done)

	Pruned	Kept	Total
New	45	13	58
Fresh	4	23	27
Picked	1	0	1
Done	0	0	0
Total	50	36	86

Merged error: 16.2b

Counts

86 → 36

Compiler

Compiled 4690 to 3262 computations (30.4% saved)

regimes8.3s (32.2%)

Compiler: Compiled 59020 to 51154 computations (13.3% saved)

bsearch10.0ms (0%)

Compiler: Compiled 3 to 7 computations (-133.3% saved)

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	117	184
1	117	184

end0.0ms (0%)

sample10.2s (39.6%)

Algorithm

1×

intervals

Results

994.0ms	1597×	body	1024	valid
678.0ms	4576×	body	128	valid
665.0ms	748×	body	2048	valid
338.0ms	2312×	body	128	nan
330.0ms	712×	body	512	valid
157.0ms	1025×	body	128	invalid
118.0ms	367×	body	256	valid

Compiler

Compiled 3664 to 3147 computations (14.1% saved)

Details

analyze2.0s (7.8%)

sample134.0ms (0.5%)

simplify250.0ms (1%)

prune6.0ms (0%)

localize31.0ms (0.1%)

rewrite61.0ms (0.2%)

series341.0ms (1.3%)

simplify127.0ms (0.5%)

prune321.0ms (1.2%)

localize38.0ms (0.1%)

rewrite37.0ms (0.1%)

series566.0ms (2.2%)

simplify177.0ms (0.7%)

prune297.0ms (1.2%)

localize54.0ms (0.2%)

rewrite48.0ms (0.2%)

series862.0ms (3.3%)

simplify129.0ms (0.5%)

prune533.0ms (2.1%)

localize78.0ms (0.3%)

rewrite50.0ms (0.2%)

series512.0ms (2%)

simplify138.0ms (0.5%)

prune456.0ms (1.8%)

regimes8.3s (32.2%)

bsearch10.0ms (0%)

simplify9.0ms (0%)

end0.0ms (0%)

sample10.2s (39.6%)

Profiling