Details

analyze280.0ms (7.2%)

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)

sample56.0ms (1.4%)

Algorithm

1×

intervals

Results

23.0ms	51×	body	1280	valid
11.0ms	42×	body	640	valid
9.0ms	140×	body	80	valid
2.0ms	13×	body	320	valid
1.0ms	10×	body	160	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify13.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

prune5.0ms (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)

localize9.0ms (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))

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-r_binary64` `associate-l_binary64`
5×	`add-log-exp_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 47

Calls

3 calls:

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

series36.0ms (0.9%)

Counts

3 → 9

Calls

3 calls:

18.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
10.0ms	(*.f64 z (cos.f64 y))
7.0ms	(*.f64 x (sin.f64 y))

simplify103.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	5169	625

prune55.0ms (1.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	47	9	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	9	57

Merged error: 0.1b

Counts

57 → 9

Compiler

Compiled 887 to 251 computations (71.7% saved)

localize13.0ms (0.3%)

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))

rewrite13.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
2.0ms	(cbrt.f64 (cos.f64 y))
2.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))

series66.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

21.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
16.0ms	(cbrt.f64 (cos.f64 y))
14.0ms	(cbrt.f64 (cos.f64 y))
14.0ms	(cbrt.f64 (cos.f64 y))

simplify79.0ms (2%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5056	772

prune73.0ms (1.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	0	8	8
Picked	1	0	1
Done	0	0	0
Total	84	10	94

Merged error: 0.0b

Counts

94 → 10

Compiler

Compiled 1930 to 557 computations (71.1% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite20.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-exp-log_binary64`
13×	`add-sqr-sqrt_binary64`
12×	`prod-exp_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`add-cbrt-cube_binary64`
9×	`pow1_binary64` `associate-r_binary64`
6×	`cbrt-unprod_binary64` `cbrt-prod_binary64`
5×	`pow-exp_binary64`
4×	`add-log-exp_binary64` `associate-l_binary64`
3×	`pow-to-exp_binary64` `pow-unpow_binary64` `unpow-prod-down_binary64`
2×	`pow-prod-down_binary64` `*-commutative_binary64`
1×	`unpow2_binary64` `pow1/3_binary64` `pow-pow_binary64` `sqr-pow_binary64` `unswap-sqr_binary64` `unpow1/3_binary64`

Counts

4 → 72

Calls

4 calls:

10.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
4.0ms	(*.f64 x (sin.f64 y))
3.0ms	(pow.f64 (cos.f64 y) 2)
2.0ms	(cbrt.f64 (cos.f64 y))

series32.0ms (0.8%)

Counts

4 → 12

Calls

4 calls:

14.0ms	(cbrt.f64 (cos.f64 y))
7.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
7.0ms	(*.f64 x (sin.f64 y))
3.0ms	(pow.f64 (cos.f64 y) 2)

simplify88.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4830	705
1	4830	705

prune74.0ms (1.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	84	10	94

Merged error: 0.0b

Counts

94 → 10

Compiler

Compiled 1687 to 724 computations (57.1% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
0.2b	(pow.f64 (cos.f64 y) 2)
0.3b	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
0.3b	(cbrt.f64 (cos.f64 y))

rewrite17.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`cbrt-prod_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
10×	`pow1_binary64` `add-exp-log_binary64`
6×	`associate-r_binary64` `add-cbrt-cube_binary64` `unpow-prod-down_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `pow-unpow_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`unpow2_binary64` `pow1/3_binary64` `sqr-pow_binary64`
1×	`pow-to-exp_binary64` `pow-pow_binary64` `associate-l_binary64` `pow-exp_binary64` `*-commutative_binary64`

Counts

4 → 66

Calls

4 calls:

8.0ms	(.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
3.0ms	(pow.f64 (cos.f64 y) 2)
2.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
2.0ms	(cbrt.f64 (cos.f64 y))

series49.0ms (1.3%)

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
17.0ms	(cbrt.f64 (cos.f64 y))
7.0ms	(.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
3.0ms	(pow.f64 (cos.f64 y) 2)

simplify93.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4925	852
1	4925	852

prune64.0ms (1.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	77	11	88

Merged error: 0.0b

Counts

88 → 11

Compiler

Compiled 1464 to 583 computations (60.2% saved)

regimes200.0ms (5.1%)

Compiler: Compiled 555 to 414 computations (25.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	26
1	18	26

end0.0ms (0%)

sample2.4s (62.1%)

Algorithm

1×

intervals

Results

674.0ms	1503×	body	1280	valid
370.0ms	1294×	body	640	valid
274.0ms	4281×	body	80	valid
123.0ms	636×	body	320	valid
42.0ms	286×	body	160	valid

Compiler

Compiled 209 to 157 computations (24.9% saved)

Details

analyze280.0ms (7.2%)

sample56.0ms (1.4%)

simplify13.0ms (0.3%)

prune5.0ms (0.1%)

localize9.0ms (0.2%)

rewrite15.0ms (0.4%)

series36.0ms (0.9%)

simplify103.0ms (2.6%)

prune55.0ms (1.4%)

localize13.0ms (0.3%)

rewrite13.0ms (0.3%)

series66.0ms (1.7%)

simplify79.0ms (2%)

prune73.0ms (1.9%)

localize15.0ms (0.4%)

rewrite20.0ms (0.5%)

series32.0ms (0.8%)

simplify88.0ms (2.3%)

prune74.0ms (1.9%)

localize14.0ms (0.4%)

rewrite17.0ms (0.4%)

series49.0ms (1.3%)

simplify93.0ms (2.4%)

prune64.0ms (1.6%)

regimes200.0ms (5.1%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.4s (62.1%)

Profiling