Details

analyze375.0ms (6.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	493	56
1	493	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)

sample46.0ms (0.8%)

Algorithm

1×

intervals

Results

16.0ms	61×	body	1024	valid
10.0ms	145×	body	128	valid
6.0ms	32×	body	512	valid
2.0ms	18×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	159	14
1	159	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

0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize11.0ms (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 x (cos.f64 y))
0.1b	(*.f64 z (sin.f64 y))

rewrite60.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

11×	`add-sqr-sqrt_binary64_7602`
7×	`pow1_binary64_7641` `add-exp-log_binary64_7618` `add-cbrt-cube_binary64_7616` `add-cube-cbrt_binary64_7615` `*-un-lft-identity_binary64_7580`
6×	`associate-l_binary64_7521` `associate-r_binary64_7520`
5×	`add-log-exp_binary64_7619`
2×	`pow-prod-down_binary64_7651` `prod-exp_binary64_7629` `cbrt-unprod_binary64_7613` `unswap-sqr_binary64_7548` `*-commutative_binary64_7511`
1×	`diff-log_binary64_7672` `flip3--_binary64_7584` `sub-neg_binary64_7573` `flip--_binary64_7555` `cancel-sign-sub-inv_binary64_7546`

Counts

3 → 48

Calls

3 calls:

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

Compiler

Compiled 741 to 179 computations (75.8% saved)

series370.0ms (6.3%)

Error

0.1b

Counts

3 → 34

Calls

3 calls:

216.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
68.0ms	(*.f64 z (sin.f64 y))
66.0ms	(*.f64 x (cos.f64 y))

Compiler

Compiled 848 to 546 computations (35.6% saved)

simplify73.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4984	927
1	4984	927

prune67.0ms (1.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	73	9	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	9	83

Error

0.0b

Counts

83 → 9

Compiler

Compiled 1140 to 309 computations (72.9% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
6.9b	(cbrt.f64 (*.f64 z (sin.f64 y)))
6.9b	(cbrt.f64 (*.f64 z (sin.f64 y)))
6.9b	(cbrt.f64 (*.f64 z (sin.f64 y)))

rewrite66.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

11×	`pow1_binary64_7641`
10×	`add-sqr-sqrt_binary64_7602`
9×	`pow1/3_binary64_7662`
8×	`add-cube-cbrt_binary64_7615` `*-un-lft-identity_binary64_7580`
7×	`cbrt-prod_binary64_7611`
6×	`add-exp-log_binary64_7618`
4×	`add-log-exp_binary64_7619` `add-cbrt-cube_binary64_7616` `swap-sqr_binary64_7547` `associate-l_binary64_7521` `associate-r_binary64_7520`
2×	`pow-prod-down_binary64_7651` `pow-prod-up_binary64_7650` `pow-sqr_binary64_7553`
1×	`pow2_binary64_7661` `pow-plus_binary64_7643` `prod-exp_binary64_7629` `cbrt-unprod_binary64_7613` `unswap-sqr_binary64_7548` `*-commutative_binary64_7511`

Counts

4 → 58

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
3.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
3.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
3.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))

Compiler

Compiled 1596 to 245 computations (84.6% saved)

series917.0ms (15.5%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

278.0ms	(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
214.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
207.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
194.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))

Compiler

Compiled 1906 to 1110 computations (41.8% saved)

simplify104.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	5268	750

prune75.0ms (1.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	81	10	91

Error

0.0b

Counts

91 → 10

Compiler

Compiled 2014 to 428 computations (78.7% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
0.6b	(cbrt.f64 (sin.f64 y))
0.6b	(cbrt.f64 (sin.f64 y))
0.6b	(cbrt.f64 (sin.f64 y))

rewrite83.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_7611`
23×	`add-sqr-sqrt_binary64_7602`
15×	`add-cube-cbrt_binary64_7615` `*-un-lft-identity_binary64_7580`
11×	`pow1_binary64_7641`
9×	`pow1/3_binary64_7662`
6×	`add-exp-log_binary64_7618` `swap-sqr_binary64_7547` `associate-l_binary64_7521` `associate-r_binary64_7520`
4×	`add-log-exp_binary64_7619` `add-cbrt-cube_binary64_7616` `unswap-sqr_binary64_7548`
2×	`pow-prod-down_binary64_7651` `pow-prod-up_binary64_7650` `pow-sqr_binary64_7553`
1×	`pow2_binary64_7661` `pow-plus_binary64_7643` `prod-exp_binary64_7629` `cbrt-unprod_binary64_7613` `*-commutative_binary64_7511`

Counts

4 → 73

Calls

4 calls:

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

Compiler

Compiled 1730 to 366 computations (78.8% saved)

series313.0ms (5.3%)

Error

0.0b

Counts

4 → 15

Calls

4 calls:

107.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
67.0ms	(cbrt.f64 (sin.f64 y))
66.0ms	(cbrt.f64 (sin.f64 y))
58.0ms	(cbrt.f64 (sin.f64 y))

Compiler

Compiled 854 to 550 computations (35.6% saved)

simplify84.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4894	795
1	4894	795

prune89.0ms (1.5%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	86	2	88
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	86	12	98

Error

0.0b

Counts

98 → 12

Compiler

Compiled 1992 to 576 computations (71.1% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (sin.f64 y))
0.6b	(cbrt.f64 (sin.f64 y))
0.7b	(cbrt.f64 (cbrt.f64 (sin.f64 y)))
0.9b	(pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 4)

rewrite83.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

24×	`cbrt-prod_binary64_7611`
12×	`add-cube-cbrt_binary64_7615` `add-sqr-sqrt_binary64_7602` `*-un-lft-identity_binary64_7580`
9×	`unpow-prod-down_binary64_7659`
5×	`pow1_binary64_7641` `add-exp-log_binary64_7618`
4×	`pow1/3_binary64_7662` `add-log-exp_binary64_7619` `add-cbrt-cube_binary64_7616`
3×	`pow-unpow_binary64_7657`
2×	`pow-pow_binary64_7652`
1×	`pow-to-exp_binary64_7649` `pow-exp_binary64_7648` `sqr-pow_binary64_7552`

Counts

4 → 60

Calls

4 calls:

4.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 4)
2.0ms	(cbrt.f64 (cbrt.f64 (sin.f64 y)))
1.0ms	(cbrt.f64 (sin.f64 y))
1.0ms	(cbrt.f64 (sin.f64 y))

Compiler

Compiled 1916 to 531 computations (72.3% saved)

series346.0ms (5.9%)

Error

0.0b

Counts

4 → 15

Calls

4 calls:

135.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 4)
65.0ms	(cbrt.f64 (sin.f64 y))
63.0ms	(cbrt.f64 (cbrt.f64 (sin.f64 y)))
63.0ms	(cbrt.f64 (sin.f64 y))

Compiler

Compiled 1187 to 692 computations (41.7% saved)

simplify53.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5133	826

prune85.0ms (1.4%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	2	7	9
Picked	0	1	1
Done	0	2	2
Total	76	11	87

Error

0.0b

Counts

87 → 11

Compiler

Compiled 2240 to 693 computations (69.1% saved)

regimes320.0ms (5.4%)

Accuracy

Total 0.1b remaining (79.4%)

Threshold costs 0.1b (79.4%)

Compiler

Compiled 3020 to 2106 computations (30.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	14
1	37	14

end0.0ms (0%)

sample2.2s (37.7%)

Algorithm

1×

intervals

Results

540.0ms	1935×	body	1024	valid
314.0ms	4552×	body	128	valid
213.0ms	1025×	body	512	valid
69.0ms	480×	body	256	valid
4.0ms	8×	body	2048	valid

Compiler

Compiled 768 to 538 computations (29.9% saved)

Details

analyze375.0ms (6.4%)

sample46.0ms (0.8%)

simplify14.0ms (0.2%)

prune2.0ms (0%)

localize11.0ms (0.2%)

rewrite60.0ms (1%)

series370.0ms (6.3%)

simplify73.0ms (1.2%)

prune67.0ms (1.1%)

localize12.0ms (0.2%)

rewrite66.0ms (1.1%)

series917.0ms (15.5%)

simplify104.0ms (1.8%)

prune75.0ms (1.3%)

localize11.0ms (0.2%)

rewrite83.0ms (1.4%)

series313.0ms (5.3%)

simplify84.0ms (1.4%)

prune89.0ms (1.5%)

localize17.0ms (0.3%)

rewrite83.0ms (1.4%)

series346.0ms (5.9%)

simplify53.0ms (0.9%)

prune85.0ms (1.4%)

regimes320.0ms (5.4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.2s (37.7%)

Profiling