Details

analyze404.0ms (7.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	765	56
1	765	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
31.2%	68.6%	0.1%	6
43.7%	56.2%	0.1%	7
59.3%	40.6%	0.1%	8
59.3%	40.6%	0.1%	9
68.6%	31.2%	0.1%	10
78%	21.8%	0.1%	11
78%	21.8%	0.1%	12
83.5%	16.4%	0.1%	13
88.5%	11.3%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample39.0ms (0.7%)

Algorithm

1×

intervals

Results

12.0ms	190×	body	128	valid
11.0ms	40×	body	1024	valid
3.0ms	18×	body	512	valid
1.0ms	7×	body	256	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify17.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	227	14
1	227	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)))
0.0b	(+.f64 x (cos.f64 y))
0.1b	(*.f64 z (sin.f64 y))

rewrite52.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

10×	`add-log-exp_binary64_2504`
7×	`add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465`
5×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `add-cube-cbrt_binary64_2500`
3×	`associate-l_binary64_2406` `associate-r_binary64_2405`
2×	`sum-log_binary64_2556` `diff-log_binary64_2557`
1×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `unswap-sqr_binary64_2433` `*-commutative_binary64_2396` `flip3-+_binary64_2468` `flip-+_binary64_2439` `distribute-lft-out_binary64_2416` `+-commutative_binary64_2395` `flip3--_binary64_2469` `sub-neg_binary64_2458` `flip--_binary64_2440` `cancel-sign-sub-inv_binary64_2431` `associate--l+_binary64_2402`

Counts

3 → 44

Calls

3 calls:

6.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
5.0ms	(*.f64 z (sin.f64 y))
3.0ms	(+.f64 x (cos.f64 y))

Compiler

Compiled 689 to 164 computations (76.2% saved)

series349.0ms (6.6%)

Error

0.1b

Counts

3 → 36

Calls

3 calls:

198.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
73.0ms	(*.f64 z (sin.f64 y))
58.0ms	(+.f64 x (cos.f64 y))

Compiler

Compiled 854 to 560 computations (34.4% saved)

simplify78.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5260	904

prune62.0ms (1.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	74	6	80
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	74	7	81

Error

0.0b

Counts

81 → 7

Compiler

Compiled 1047 to 261 computations (75.1% 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))

rewrite81.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_2496`
23×	`add-sqr-sqrt_binary64_2487`
15×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
11×	`pow1_binary64_2526`
9×	`pow1/3_binary64_2547`
6×	`add-exp-log_binary64_2503` `swap-sqr_binary64_2432` `associate-l_binary64_2406` `associate-r_binary64_2405`
4×	`add-log-exp_binary64_2504` `add-cbrt-cube_binary64_2501` `unswap-sqr_binary64_2433`
2×	`pow-prod-down_binary64_2536` `pow-prod-up_binary64_2535` `pow-sqr_binary64_2438`
1×	`pow2_binary64_2546` `pow-plus_binary64_2528` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `*-commutative_binary64_2396`

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)

series348.0ms (6.6%)

Error

0.0b

Counts

4 → 16

Calls

4 calls:

91.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
88.0ms	(cbrt.f64 (sin.f64 y))
81.0ms	(cbrt.f64 (sin.f64 y))
72.0ms	(cbrt.f64 (sin.f64 y))

Compiler

Compiled 922 to 584 computations (36.7% saved)

simplify61.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4890	770
1	4890	770

prune81.0ms (1.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	88	8	96

Error

0.0b

Counts

96 → 8

Compiler

Compiled 1929 to 514 computations (73.4% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite73.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_2496`
23×	`add-sqr-sqrt_binary64_2487`
15×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
11×	`pow1_binary64_2526`
9×	`pow1/3_binary64_2547`
6×	`add-exp-log_binary64_2503` `swap-sqr_binary64_2432` `associate-l_binary64_2406` `associate-r_binary64_2405`
4×	`add-log-exp_binary64_2504` `add-cbrt-cube_binary64_2501` `unswap-sqr_binary64_2433`
2×	`pow-prod-down_binary64_2536` `pow-prod-up_binary64_2535` `pow-sqr_binary64_2438`
1×	`pow2_binary64_2546` `pow-plus_binary64_2528` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `*-commutative_binary64_2396`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

Compiler

Compiled 1524 to 318 computations (79.1% saved)

series328.0ms (6.2%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

92.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
82.0ms	(cbrt.f64 z)
74.0ms	(cbrt.f64 z)
69.0ms	(cbrt.f64 z)

Compiler

Compiled 663 to 450 computations (32.1% saved)

simplify77.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune68.0ms (1.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	85	8	93

Error

0.0b

Counts

93 → 8

Compiler

Compiled 1665 to 425 computations (74.5% saved)

localize14.0ms (0.3%)

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))))
6.8b	(cbrt.f64 (*.f64 z (sin.f64 y)))
6.8b	(cbrt.f64 (*.f64 z (sin.f64 y)))
6.8b	(cbrt.f64 (*.f64 z (sin.f64 y)))

rewrite74.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

11×	`pow1_binary64_2526`
10×	`add-sqr-sqrt_binary64_2487`
9×	`pow1/3_binary64_2547`
8×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
7×	`cbrt-prod_binary64_2496`
6×	`add-exp-log_binary64_2503`
4×	`add-log-exp_binary64_2504` `add-cbrt-cube_binary64_2501` `swap-sqr_binary64_2432` `associate-l_binary64_2406` `associate-r_binary64_2405`
2×	`pow-prod-down_binary64_2536` `pow-prod-up_binary64_2535` `pow-sqr_binary64_2438`
1×	`pow2_binary64_2546` `pow-plus_binary64_2528` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `unswap-sqr_binary64_2433` `*-commutative_binary64_2396`

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)

series952.0ms (17.9%)

Error

0.0b

Counts

4 → 28

Calls

4 calls:

287.0ms	(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
219.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
215.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
201.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))

Compiler

Compiled 2294 to 1335 computations (41.8% saved)

simplify86.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4930	875
1	4930	875

prune71.0ms (1.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	4	4
Picked	0	1	1
Done	1	2	3
Total	86	8	94

Error

0.0b

Counts

94 → 8

Compiler

Compiled 2001 to 368 computations (81.6% saved)

regimes215.0ms (4.1%)

Accuracy

Total 0.0b remaining (80.3%)

Threshold costs 0.0b (80.3%)

Compiler

Compiled 1980 to 1402 computations (29.2% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	14
1	37	14

end0.0ms (0%)

sample1.7s (32.7%)

Algorithm

1×

intervals

Results

378.0ms	5707×	body	128	valid
364.0ms	1351×	body	1024	valid
129.0ms	609×	body	512	valid
49.0ms	330×	body	256	valid
1.0ms	3×	body	2048	valid

Compiler

Compiled 508 to 362 computations (28.7% saved)

Details

analyze404.0ms (7.6%)

sample39.0ms (0.7%)

simplify17.0ms (0.3%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite52.0ms (1%)

series349.0ms (6.6%)

simplify78.0ms (1.5%)

prune62.0ms (1.2%)

localize11.0ms (0.2%)

rewrite81.0ms (1.5%)

series348.0ms (6.6%)

simplify61.0ms (1.1%)

prune81.0ms (1.5%)

localize11.0ms (0.2%)

rewrite73.0ms (1.4%)

series328.0ms (6.2%)

simplify77.0ms (1.4%)

prune68.0ms (1.3%)

localize14.0ms (0.3%)

rewrite74.0ms (1.4%)

series952.0ms (17.9%)

simplify86.0ms (1.6%)

prune71.0ms (1.3%)

regimes215.0ms (4.1%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.7s (32.7%)

Profiling