Details

analyze262.0ms (4.8%)

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)

sample50.0ms (0.9%)

Algorithm

1×

intervals

Results

19.0ms	55×	body	1024	valid
10.0ms	149×	body	128	valid
7.0ms	35×	body	512	valid
2.0ms	17×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify168.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	139	14
1	139	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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize9.0ms (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 z (sin.f64 y))
0.1b	(*.f64 x (cos.f64 y))

rewrite16.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_5827`
7×	`pow1_binary64_5864` `add-exp-log_binary64_5841` `add-cbrt-cube_binary64_5839` `add-cube-cbrt_binary64_5838` `*-un-lft-identity_binary64_5806`
6×	`associate-l_binary64_5749` `associate-r_binary64_5748`
5×	`add-log-exp_binary64_5842`
2×	`prod-exp_binary64_5852` `cbrt-unprod_binary64_5836` `unswap-sqr_binary64_5774` `*-commutative_binary64_5739` `pow-prod-down_binary64_5874`
1×	`sub-neg_binary64_5799` `diff-log_binary64_5895` `flip3--_binary64_5810` `flip--_binary64_5781`

Counts

3 → 47

Calls

3 calls:

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

series241.0ms (4.4%)

Counts

3 → 9

Calls

3 calls:

133.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
55.0ms	(*.f64 x (cos.f64 y))
52.0ms	(*.f64 z (sin.f64 y))

simplify69.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4911	627
1	4911	627

prune56.0ms (1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	46	10	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	10	57

Merged error: 0.0b

Counts

57 → 10

Compiler

Compiled 931 to 269 computations (71.1% 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))

rewrite17.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_5834`
23×	`add-sqr-sqrt_binary64_5827`
15×	`add-cube-cbrt_binary64_5838` `*-un-lft-identity_binary64_5806`
11×	`pow1_binary64_5864`
9×	`pow1/3_binary64_5885`
6×	`swap-sqr_binary64_5773` `associate-l_binary64_5749` `associate-r_binary64_5748` `add-exp-log_binary64_5841`
4×	`unswap-sqr_binary64_5774` `add-log-exp_binary64_5842` `add-cbrt-cube_binary64_5839`
2×	`pow-prod-up_binary64_5873` `pow-sqr_binary64_5779` `pow-prod-down_binary64_5874`
1×	`prod-exp_binary64_5852` `cbrt-unprod_binary64_5836` `pow-plus_binary64_5866` `pow2_binary64_5884` `*-commutative_binary64_5739`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
1.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))

series527.0ms (9.7%)

Counts

4 → 12

Calls

4 calls:

185.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
118.0ms	(cbrt.f64 (cos.f64 y))
114.0ms	(cbrt.f64 (cos.f64 y))
110.0ms	(cbrt.f64 (cos.f64 y))

simplify78.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4906	772
1	4906	772

prune89.0ms (1.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	86	9	95

Merged error: 0.0b

Counts

95 → 9

Compiler

Compiled 1931 to 548 computations (71.6% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite26.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-exp-log_binary64_5841`
14×	`unpow-prod-down_binary64_5882`
12×	`add-sqr-sqrt_binary64_5827` `add-cube-cbrt_binary64_5838` `*-un-lft-identity_binary64_5806`
11×	`prod-exp_binary64_5852`
9×	`pow-exp_binary64_5871`
8×	`add-cbrt-cube_binary64_5839`
7×	`pow1_binary64_5864`
6×	`pow-unpow_binary64_5880` `associate-r_binary64_5748` `cbrt-prod_binary64_5834`
5×	`cbrt-unprod_binary64_5836` `pow-to-exp_binary64_5872`
4×	`add-log-exp_binary64_5842`
3×	`sqr-pow_binary64_5778`
2×	`unpow1/3_binary64_5870` `pow-pow_binary64_5875` `unpow2_binary64_5868`
1×	`associate-l_binary64_5749` `*-commutative_binary64_5739` `pow-prod-down_binary64_5874` `pow1/3_binary64_5885`

Counts

4 → 79

Calls

4 calls:

11.0ms	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
4.0ms	(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
3.0ms	(pow.f64 (cos.f64 y) 2)
1.0ms	(cbrt.f64 (cos.f64 y))

series376.0ms (6.9%)

Counts

4 → 12

Calls

4 calls:

180.0ms	(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
118.0ms	(cbrt.f64 (cos.f64 y))
56.0ms	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
21.0ms	(pow.f64 (cos.f64 y) 2)

simplify87.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4816	784
1	4816	784

prune88.0ms (1.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	90	10	100

Merged error: 0.0b

Counts

100 → 10

Compiler

Compiled 1773 to 715 computations (59.7% saved)

localize13.0ms (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))))
8.8b	(cbrt.f64 (*.f64 z (sin.f64 y)))
8.8b	(cbrt.f64 (*.f64 z (sin.f64 y)))
8.8b	(cbrt.f64 (*.f64 z (sin.f64 y)))

rewrite21.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_5864`
10×	`add-sqr-sqrt_binary64_5827`
9×	`pow1/3_binary64_5885`
8×	`add-cube-cbrt_binary64_5838` `*-un-lft-identity_binary64_5806`
7×	`cbrt-prod_binary64_5834`
6×	`add-exp-log_binary64_5841`
4×	`swap-sqr_binary64_5773` `associate-l_binary64_5749` `associate-r_binary64_5748` `add-log-exp_binary64_5842` `add-cbrt-cube_binary64_5839`
2×	`pow-prod-up_binary64_5873` `pow-sqr_binary64_5779` `pow-prod-down_binary64_5874`
1×	`prod-exp_binary64_5852` `cbrt-unprod_binary64_5836` `unswap-sqr_binary64_5774` `pow-plus_binary64_5866` `pow2_binary64_5884` `*-commutative_binary64_5739`

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)))

series777.0ms (14.3%)

Counts

4 → 12

Calls

4 calls:

234.0ms	(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
185.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
184.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
173.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))

simplify100.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4833	697
1	4833	697

prune61.0ms (1.1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	70	10	80

Merged error: 0.0b

Counts

80 → 10

Compiler

Compiled 1642 to 320 computations (80.5% saved)

regimes188.0ms (3.5%)

Compiler: Compiled 1652 to 1142 computations (30.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	14
1	37	14

end0.0ms (0%)

sample2.1s (38.2%)

Algorithm

1×

intervals

Results

740.0ms	2019×	body	1024	valid
321.0ms	4476×	body	128	valid
229.0ms	991×	body	512	valid
79.0ms	510×	body	256	valid
3.0ms	4×	body	2048	valid

Compiler

Compiled 426 to 297 computations (30.3% saved)

Details

analyze262.0ms (4.8%)

sample50.0ms (0.9%)

simplify168.0ms (3.1%)

prune2.0ms (0%)

localize9.0ms (0.2%)

rewrite16.0ms (0.3%)

series241.0ms (4.4%)

simplify69.0ms (1.3%)

prune56.0ms (1%)

localize12.0ms (0.2%)

rewrite17.0ms (0.3%)

series527.0ms (9.7%)

simplify78.0ms (1.4%)

prune89.0ms (1.6%)

localize17.0ms (0.3%)

rewrite26.0ms (0.5%)

series376.0ms (6.9%)

simplify87.0ms (1.6%)

prune88.0ms (1.6%)

localize13.0ms (0.2%)

rewrite21.0ms (0.4%)

series777.0ms (14.3%)

simplify100.0ms (1.8%)

prune61.0ms (1.1%)

regimes188.0ms (3.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.1s (38.2%)

Profiling