Details

analyze409.0ms (10.3%)

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)

sample40.0ms (1%)

Algorithm

1×

intervals

Results

12.0ms	195×	body	128	valid
11.0ms	26×	body	1024	valid
5.0ms	27×	body	512	valid
1.0ms	8×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify17.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	227	14
1	227	14

prune2.0ms (0.1%)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
0.0b	(+.f64 x (cos.f64 y))
0.1b	(*.f64 z (sin.f64 y))

rewrite19.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 44

Calls

3 calls:

7.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
5.0ms	(*.f64 z (sin.f64 y))
4.0ms	(+.f64 x (cos.f64 y))

series108.0ms (2.7%)

Counts

3 → 9

Calls

3 calls:

54.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
32.0ms	(*.f64 z (sin.f64 y))
21.0ms	(+.f64 x (cos.f64 y))

simplify67.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5354	660

prune41.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	49	4	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	5	54

Error

0.0b

Counts

54 → 5

Compiler

Compiled 782 to 196 computations (74.9% saved)

localize15.0ms (0.4%)

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))))
9.0b	(cbrt.f64 (*.f64 z (sin.f64 y)))
9.0b	(cbrt.f64 (*.f64 z (sin.f64 y)))
9.0b	(cbrt.f64 (*.f64 z (sin.f64 y)))

rewrite19.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

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)))

series469.0ms (11.8%)

Counts

4 → 12

Calls

4 calls:

150.0ms	(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
107.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
106.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
105.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))

simplify130.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (117.0ms)

Iter	Nodes	Cost
0	5256	678

prune63.0ms (1.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	70	5	75

Error

0.0b

Counts

75 → 5

Compiler

Compiled 1697 to 363 computations (78.6% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 z)
0.6b	(cbrt.f64 (sin.f64 y))
9.0b	(cbrt.f64 (*.f64 z (sin.f64 y)))
9.0b	(cbrt.f64 (*.f64 z (sin.f64 y)))

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`cbrt-prod_binary64_2496`
6×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487`
4×	`add-log-exp_binary64_2504` `add-exp-log_binary64_2503` `pow1/3_binary64_2547` `add-cbrt-cube_binary64_2501` `pow1_binary64_2526`

Counts

4 → 40

Calls

4 calls:

3.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
3.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
2.0ms	(cbrt.f64 (sin.f64 y))
1.0ms	(cbrt.f64 z)

series367.0ms (9.3%)

Counts

4 → 12

Calls

4 calls:

110.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
108.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
78.0ms	(cbrt.f64 z)
70.0ms	(cbrt.f64 (sin.f64 y))

simplify57.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4933	467
1	4933	467

prune48.0ms (1.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	52	5	57

Error

0.0b

Counts

57 → 5

Compiler

Compiled 1428 to 293 computations (79.5% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x (cos.f64 y)))
0.0b	(sqrt.f64 (+.f64 x (cos.f64 y)))
0.1b	(*.f64 z (sin.f64 y))
0.2b	(*.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (+.f64 x (cos.f64 y))))

rewrite35.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64_2465` `sqrt-prod_binary64_2481` `add-sqr-sqrt_binary64_2487`
23×	`pow1_binary64_2526`
16×	`add-cube-cbrt_binary64_2500` `sqrt-div_binary64_2482`
11×	`swap-sqr_binary64_2432`
10×	`pow1/2_binary64_2545` `associate-r_binary64_2405` `sqrt-pow1_binary64_2483` `associate-l_binary64_2406`
8×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `distribute-lft-out_binary64_2416`
5×	`unswap-sqr_binary64_2433` `pow-prod-up_binary64_2535`
4×	`add-log-exp_binary64_2504` `frac-times_binary64_2475` `rem-sqrt-square_binary64_2478` `pow-prod-down_binary64_2536`
3×	`pow-sqr_binary64_2438`
2×	`associate-l/_binary64_2408` `-commutative_binary64_2396` `associate-*r/_binary64_2407` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
1×	`sqr-abs_binary64_2480` `pow-plus_binary64_2528` `sqrt-unprod_binary64_2485` `rem-square-sqrt_binary64_2477` `pow2_binary64_2546`

Counts

4 → 113

Calls

4 calls:

13.0ms	(*.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (+.f64 x (cos.f64 y))))
5.0ms	(sqrt.f64 (+.f64 x (cos.f64 y)))
4.0ms	(*.f64 z (sin.f64 y))
3.0ms	(sqrt.f64 (+.f64 x (cos.f64 y)))

series134.0ms (3.4%)

Counts

4 → 12

Calls

4 calls:

39.0ms	(sqrt.f64 (+.f64 x (cos.f64 y)))
39.0ms	(sqrt.f64 (+.f64 x (cos.f64 y)))
32.0ms	(*.f64 z (sin.f64 y))
24.0ms	(*.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (+.f64 x (cos.f64 y))))

simplify113.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4937	1568
1	4937	1568

prune240.0ms (6.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	125	5	130

Error

0.0b

Counts

130 → 5

Compiler

Compiled 2401 to 499 computations (79.2% saved)

regimes97.0ms (2.4%)

Accuracy

Total 0.0b remaining (59.3%)

Threshold costs 0.0b (59.3%)

Compiler

Compiled 740 to 534 computations (27.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	14
1	37	14

end0.0ms (0%)

sample1.4s (36%)

Algorithm

1×

intervals

Results

391.0ms	5695×	body	128	valid
386.0ms	1326×	body	1024	valid
130.0ms	640×	body	512	valid
55.0ms	334×	body	256	valid
3.0ms	5×	body	2048	valid

Compiler

Compiled 198 to 145 computations (26.8% saved)

Details

analyze409.0ms (10.3%)

sample40.0ms (1%)

simplify17.0ms (0.4%)

prune2.0ms (0.1%)

localize8.0ms (0.2%)

rewrite19.0ms (0.5%)

series108.0ms (2.7%)

simplify67.0ms (1.7%)

prune41.0ms (1%)

localize15.0ms (0.4%)

rewrite19.0ms (0.5%)

series469.0ms (11.8%)

simplify130.0ms (3.3%)

prune63.0ms (1.6%)

localize16.0ms (0.4%)

rewrite12.0ms (0.3%)

series367.0ms (9.3%)

simplify57.0ms (1.4%)

prune48.0ms (1.2%)

localize10.0ms (0.2%)

rewrite35.0ms (0.9%)

series134.0ms (3.4%)

simplify113.0ms (2.8%)

prune240.0ms (6.1%)

regimes97.0ms (2.4%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.4s (36%)

Profiling