Details

analyze286.0ms (5.8%)

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
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)

sample44.0ms (0.9%)

Algorithm

1×

intervals

Results

16.0ms	192×	body	128	valid
14.0ms	39×	body	1024	valid
3.0ms	15×	body	512	valid
1.0ms	10×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify21.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	208	14
1	208	14

prune3.0ms (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: 0.0b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite20.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-log-exp_binary64`
7×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
5×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-r_binary64` `associate-l_binary64`
2×	`diff-log_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `cancel-sign-sub-inv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `associate--l+_binary64` `*-commutative_binary64`

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))

series198.0ms (4%)

Counts

3 → 9

Calls

3 calls:

98.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
61.0ms	(*.f64 z (sin.f64 y))
38.0ms	(+.f64 x (cos.f64 y))

simplify61.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5025	660

prune79.0ms (1.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	48	5	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	6	54

Merged error: 0.0b

Counts

54 → 6

Compiler

Compiled 1322 to 556 computations (57.9% saved)

localize16.0ms (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))))
8.7b	(cbrt.f64 (*.f64 z (sin.f64 y)))
8.7b	(cbrt.f64 (*.f64 z (sin.f64 y)))
8.7b	(cbrt.f64 (*.f64 z (sin.f64 y)))

rewrite21.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

7.0ms	(.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)))

series822.0ms (16.7%)

Counts

4 → 12

Calls

4 calls:

245.0ms	(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
199.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
193.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
185.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))

simplify55.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4851	687
1	4851	687

prune87.0ms (1.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	69	7	76

Merged error: 0.0b

Counts

76 → 7

Compiler

Compiled 1946 to 527 computations (72.9% saved)

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 (sin.f64 y))
8.7b	(cbrt.f64 (*.f64 z (sin.f64 y)))
8.7b	(cbrt.f64 (*.f64 z (sin.f64 y)))

rewrite13.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`cbrt-prod_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`

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)

series686.0ms (13.9%)

Counts

4 → 12

Calls

4 calls:

199.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
194.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
165.0ms	(cbrt.f64 z)
127.0ms	(cbrt.f64 (sin.f64 y))

simplify86.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	5382	461

prune67.0ms (1.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	51	8	59

Merged error: 0.0b

Counts

59 → 8

Compiler

Compiled 1624 to 409 computations (74.8% saved)

localize23.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (sin.f64 y))
0.6b	(cbrt.f64 (sin.f64 y))
8.7b	(cbrt.f64 (*.f64 z (sin.f64 y)))
8.7b	(cbrt.f64 (*.f64 z (sin.f64 y)))

rewrite14.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`cbrt-prod_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`

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))
2.0ms	(cbrt.f64 (sin.f64 y))

series625.0ms (12.7%)

Counts

4 → 12

Calls

4 calls:

190.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
187.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
124.0ms	(cbrt.f64 (sin.f64 y))
123.0ms	(cbrt.f64 (sin.f64 y))

simplify94.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4860	508
1	4860	508

prune62.0ms (1.3%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	52	8	60

Merged error: 0.0b

Counts

60 → 8

Compiler

Compiled 1968 to 300 computations (84.8% saved)

regimes87.0ms (1.8%)

Compiler: Compiled 620 to 394 computations (36.5% 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 (28.9%)

Algorithm

1×

intervals

Results

447.0ms	1243×	body	1024	valid
390.0ms	5787×	body	128	valid
143.0ms	630×	body	512	valid
48.0ms	333×	body	256	valid
6.0ms	7×	body	2048	valid

Compiler

Compiled 168 to 110 computations (34.5% saved)

Details

analyze286.0ms (5.8%)

sample44.0ms (0.9%)

simplify21.0ms (0.4%)

prune3.0ms (0.1%)

localize10.0ms (0.2%)

rewrite20.0ms (0.4%)

series198.0ms (4%)

simplify61.0ms (1.2%)

prune79.0ms (1.6%)

localize16.0ms (0.3%)

rewrite21.0ms (0.4%)

series822.0ms (16.7%)

simplify55.0ms (1.1%)

prune87.0ms (1.8%)

localize19.0ms (0.4%)

rewrite13.0ms (0.3%)

series686.0ms (13.9%)

simplify86.0ms (1.7%)

prune67.0ms (1.4%)

localize23.0ms (0.5%)

rewrite14.0ms (0.3%)

series625.0ms (12.7%)

simplify94.0ms (1.9%)

prune62.0ms (1.3%)

regimes87.0ms (1.8%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.4s (28.9%)

Profiling