Details

analyze354.0ms (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)

sample48.0ms (0.9%)

Algorithm

1×

intervals

Results

19.0ms	71×	body	1024	valid
9.0ms	136×	body	128	valid
6.0ms	32×	body	512	valid
2.0ms	17×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify13.0ms (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)

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

rewrite60.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

11×	`add-sqr-sqrt_binary64_7943`
7×	`pow1_binary64_7982` `add-exp-log_binary64_7959` `add-cbrt-cube_binary64_7957` `add-cube-cbrt_binary64_7956` `*-un-lft-identity_binary64_7921`
6×	`associate-l_binary64_7862` `associate-r_binary64_7861`
5×	`add-log-exp_binary64_7960`
2×	`pow-prod-down_binary64_7992` `prod-exp_binary64_7970` `cbrt-unprod_binary64_7954` `unswap-sqr_binary64_7889` `*-commutative_binary64_7852`
1×	`diff-log_binary64_8013` `flip3--_binary64_7925` `sub-neg_binary64_7914` `flip--_binary64_7896` `cancel-sign-sub-inv_binary64_7887`

Counts

3 → 48

Calls

3 calls:

5.0ms	(*.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)

series395.0ms (7.2%)

Error

0.1b

Counts

3 → 36

Calls

3 calls:

225.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
75.0ms	(*.f64 z (sin.f64 y))
73.0ms	(*.f64 x (cos.f64 y))

Compiler

Compiled 930 to 602 computations (35.3% saved)

simplify77.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5153	980

prune74.0ms (1.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	72	12	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	12	85

Error

0.0b

Counts

85 → 12

Compiler

Compiled 1231 to 380 computations (69.1% 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))

rewrite84.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_7952`
23×	`add-sqr-sqrt_binary64_7943`
15×	`add-cube-cbrt_binary64_7956` `*-un-lft-identity_binary64_7921`
11×	`pow1_binary64_7982`
9×	`pow1/3_binary64_8003`
6×	`add-exp-log_binary64_7959` `swap-sqr_binary64_7888` `associate-l_binary64_7862` `associate-r_binary64_7861`
4×	`add-log-exp_binary64_7960` `add-cbrt-cube_binary64_7957` `unswap-sqr_binary64_7889`
2×	`pow-prod-down_binary64_7992` `pow-prod-up_binary64_7991` `pow-sqr_binary64_7894`
1×	`pow2_binary64_8002` `pow-plus_binary64_7984` `prod-exp_binary64_7970` `cbrt-unprod_binary64_7954` `*-commutative_binary64_7852`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.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))

Compiler

Compiled 1730 to 366 computations (78.8% saved)

series366.0ms (6.7%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

106.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
84.0ms	(cbrt.f64 (cos.f64 y))
80.0ms	(cbrt.f64 (cos.f64 y))
71.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 1212 to 763 computations (37% saved)

simplify94.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4915	928
1	4915	928

prune95.0ms (1.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	98	11	109

Error

0.0b

Counts

109 → 11

Compiler

Compiled 2222 to 691 computations (68.9% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x (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 (cos.f64 y))
0.4b	(cbrt.f64 (pow.f64 (cos.f64 y) 2))

rewrite86.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`cbrt-prod_binary64_7952`
11×	`add-cube-cbrt_binary64_7956` `add-sqr-sqrt_binary64_7943` `*-un-lft-identity_binary64_7921`
10×	`pow1_binary64_7982` `add-exp-log_binary64_7959`
6×	`add-cbrt-cube_binary64_7957` `unpow-prod-down_binary64_8000` `associate-r_binary64_7861`
4×	`add-log-exp_binary64_7960`
3×	`pow-unpow_binary64_7998` `pow-prod-down_binary64_7992` `prod-exp_binary64_7970` `cbrt-unprod_binary64_7954`
2×	`pow1/3_binary64_8003` `unpow2_binary64_7986` `sqr-pow_binary64_7893`
1×	`pow-pow_binary64_7993` `pow-to-exp_binary64_7990` `pow-exp_binary64_7989` `associate-l_binary64_7862` `*-commutative_binary64_7852`

Counts

4 → 66

Calls

4 calls:

9.0ms	(.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
2.0ms	(pow.f64 (cos.f64 y) 2)
2.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
1.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 1449 to 639 computations (55.9% saved)

series321.0ms (5.8%)

Error

0.0b

Counts

4 → 27

Calls

4 calls:

110.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
80.0ms	(cbrt.f64 (cos.f64 y))
79.0ms	(.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
29.0ms	(pow.f64 (cos.f64 y) 2)

Compiler

Compiled 1095 to 771 computations (29.6% saved)

simplify80.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4907	880
1	4907	880

prune82.0ms (1.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	93	11	104

Error

0.0b

Counts

104 → 11

Compiler

Compiled 1801 to 740 computations (58.9% saved)

localize13.0ms (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 (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_7952`
23×	`add-sqr-sqrt_binary64_7943`
15×	`add-cube-cbrt_binary64_7956` `*-un-lft-identity_binary64_7921`
11×	`pow1_binary64_7982`
9×	`pow1/3_binary64_8003`
6×	`add-exp-log_binary64_7959` `swap-sqr_binary64_7888` `associate-l_binary64_7862` `associate-r_binary64_7861`
4×	`add-log-exp_binary64_7960` `add-cbrt-cube_binary64_7957` `unswap-sqr_binary64_7889`
2×	`pow-prod-down_binary64_7992` `pow-prod-up_binary64_7991` `pow-sqr_binary64_7894`
1×	`pow2_binary64_8002` `pow-plus_binary64_7984` `prod-exp_binary64_7970` `cbrt-unprod_binary64_7954` `*-commutative_binary64_7852`

Counts

4 → 73

Calls

4 calls:

8.0ms	(*.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)

series377.0ms (6.9%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

107.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
87.0ms	(cbrt.f64 (sin.f64 y))
79.0ms	(cbrt.f64 (sin.f64 y))
76.0ms	(cbrt.f64 (sin.f64 y))

Compiler

Compiled 1388 to 907 computations (34.7% saved)

simplify91.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4867	1020
1	4867	1020

prune77.0ms (1.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	95	2	97
Fresh	1	8	9
Picked	1	0	1
Done	0	1	1
Total	97	11	108

Error

0.0b

Counts

108 → 11

Compiler

Compiled 2093 to 595 computations (71.6% saved)

regimes350.0ms (6.4%)

Accuracy

Total 0.1b remaining (81.5%)

Threshold costs 0.1b (81.5%)

Compiler

Compiled 3448 to 2402 computations (30.3% 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%)

sample2.2s (40.8%)

Algorithm

1×

intervals

Results

557.0ms	2009×	body	1024	valid
315.0ms	4509×	body	128	valid
182.0ms	951×	body	512	valid
68.0ms	525×	body	256	valid
3.0ms	6×	body	2048	valid

Compiler

Compiled 875 to 612 computations (30.1% saved)

Details

analyze354.0ms (6.4%)

sample48.0ms (0.9%)

simplify13.0ms (0.2%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite60.0ms (1.1%)

series395.0ms (7.2%)

simplify77.0ms (1.4%)

prune74.0ms (1.3%)

localize12.0ms (0.2%)

rewrite84.0ms (1.5%)

series366.0ms (6.7%)

simplify94.0ms (1.7%)

prune95.0ms (1.7%)

localize13.0ms (0.2%)

rewrite86.0ms (1.6%)

series321.0ms (5.8%)

simplify80.0ms (1.5%)

prune82.0ms (1.5%)

localize13.0ms (0.2%)

rewrite83.0ms (1.5%)

series377.0ms (6.9%)

simplify91.0ms (1.7%)

prune77.0ms (1.4%)

regimes350.0ms (6.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.2s (40.8%)

Profiling