Details

analyze597.0ms (7%)

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)

sample71.0ms (0.8%)

Algorithm

1×

intervals

Results

27.0ms	62×	body	1024	valid
15.0ms	141×	body	128	valid
12.0ms	38×	body	512	valid
4.0ms	15×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify21.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	159	14
1	159	14

prune4.0ms (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)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite24.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_5556`
7×	`*-un-lft-identity_binary64_5534` `add-cbrt-cube_binary64_5570` `add-exp-log_binary64_5572` `add-cube-cbrt_binary64_5569` `pow1_binary64_5595`
6×	`associate-l_binary64_5475` `associate-r_binary64_5474`
5×	`add-log-exp_binary64_5573`
2×	`cbrt-unprod_binary64_5567` `*-commutative_binary64_5465` `unswap-sqr_binary64_5502` `prod-exp_binary64_5583` `pow-prod-down_binary64_5605`
1×	`diff-log_binary64_5626` `cancel-sign-sub-inv_binary64_5500` `flip--_binary64_5509` `flip3--_binary64_5538` `sub-neg_binary64_5527`

Counts

3 → 48

Calls

3 calls:

7.0ms	(*.f64 x (cos.f64 y))
7.0ms	(*.f64 z (sin.f64 y))
6.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

series562.0ms (6.6%)

Counts

3 → 36

Calls

3 calls:

332.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
117.0ms	(*.f64 z (sin.f64 y))
113.0ms	(*.f64 x (cos.f64 y))

Compiler

Compiled 546 to 484 computations (11.4% saved)

simplify121.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	5153	980

prune128.0ms (1.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	73	11	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	11	85

Error

0.0b

Counts

85 → 11

Compiler

Compiled 1239 to 361 computations (70.9% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(*.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))

rewrite28.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_5565`
23×	`add-sqr-sqrt_binary64_5556`
15×	`*-un-lft-identity_binary64_5534` `add-cube-cbrt_binary64_5569`
11×	`pow1_binary64_5595`
9×	`pow1/3_binary64_5616`
6×	`associate-l_binary64_5475` `swap-sqr_binary64_5501` `add-exp-log_binary64_5572` `associate-r_binary64_5474`
4×	`add-cbrt-cube_binary64_5570` `add-log-exp_binary64_5573` `unswap-sqr_binary64_5502`
2×	`pow-sqr_binary64_5507` `pow-prod-up_binary64_5604` `pow-prod-down_binary64_5605`
1×	`cbrt-unprod_binary64_5567` `pow-plus_binary64_5597` `*-commutative_binary64_5465` `pow2_binary64_5615` `prod-exp_binary64_5583`

Counts

4 → 73

Calls

4 calls:

11.0ms	(*.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))
2.0ms	(cbrt.f64 (cos.f64 y))

series589.0ms (6.9%)

Counts

4 → 24

Calls

4 calls:

200.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
132.0ms	(cbrt.f64 (cos.f64 y))
131.0ms	(cbrt.f64 (cos.f64 y))
126.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 680 to 520 computations (23.5% saved)

simplify147.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (120.0ms)

Iter	Nodes	Cost
0	4915	928
1	4915	928

prune175.0ms (2.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	92	5	97
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	96	12	108

Error

0.0b

Counts

108 → 12

Compiler

Compiled 2283 to 706 computations (69.1% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite43.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-exp-log_binary64_5572`
13×	`add-sqr-sqrt_binary64_5556`
12×	`prod-exp_binary64_5583`
11×	`*-un-lft-identity_binary64_5534` `add-cube-cbrt_binary64_5569`
10×	`add-cbrt-cube_binary64_5570`
9×	`associate-r_binary64_5474` `pow1_binary64_5595`
6×	`cbrt-prod_binary64_5565` `cbrt-unprod_binary64_5567`
5×	`pow-exp_binary64_5602`
4×	`associate-l_binary64_5475` `add-log-exp_binary64_5573`
3×	`pow-to-exp_binary64_5603` `pow-unpow_binary64_5611` `unpow-prod-down_binary64_5613`
2×	`*-commutative_binary64_5465` `pow-prod-down_binary64_5605`
1×	`unpow2_binary64_5599` `pow-pow_binary64_5606` `unpow1/3_binary64_5601` `sqr-pow_binary64_5506` `unswap-sqr_binary64_5502` `pow1/3_binary64_5616`

Counts

4 → 72

Calls

4 calls:

18.0ms	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
8.0ms	(*.f64 z (sin.f64 y))
4.0ms	(pow.f64 (cos.f64 y) 2)
2.0ms	(cbrt.f64 (cos.f64 y))

series464.0ms (5.5%)

Counts

4 → 30

Calls

4 calls:

144.0ms	(cbrt.f64 (cos.f64 y))
138.0ms	(*.f64 z (sin.f64 y))
129.0ms	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
53.0ms	(pow.f64 (cos.f64 y) 2)

Compiler

Compiled 766 to 646 computations (15.7% saved)

simplify122.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4888	945
1	4888	945

prune187.0ms (2.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	102	12	114

Error

0.0b

Counts

114 → 12

Compiler

Compiled 2096 to 914 computations (56.4% saved)

localize29.0ms (0.3%)

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)))
0.3b	(pow.f64 (cos.f64 y) 2)
0.3b	(cbrt.f64 (cos.f64 y))
0.4b	(cbrt.f64 (pow.f64 (cos.f64 y) 2))

rewrite36.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`cbrt-prod_binary64_5565`
11×	`*-un-lft-identity_binary64_5534` `add-sqr-sqrt_binary64_5556` `add-cube-cbrt_binary64_5569`
10×	`add-exp-log_binary64_5572` `pow1_binary64_5595`
6×	`add-cbrt-cube_binary64_5570` `associate-r_binary64_5474` `unpow-prod-down_binary64_5613`
4×	`add-log-exp_binary64_5573`
3×	`cbrt-unprod_binary64_5567` `pow-unpow_binary64_5611` `prod-exp_binary64_5583` `pow-prod-down_binary64_5605`
2×	`unpow2_binary64_5599` `sqr-pow_binary64_5506` `pow1/3_binary64_5616`
1×	`associate-l_binary64_5475` `pow-pow_binary64_5606` `*-commutative_binary64_5465` `pow-to-exp_binary64_5603` `pow-exp_binary64_5602`

Counts

4 → 66

Calls

4 calls:

16.0ms	(.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
4.0ms	(pow.f64 (cos.f64 y) 2)
4.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
2.0ms	(cbrt.f64 (cos.f64 y))

series838.0ms (9.9%)

Counts

4 → 27

Calls

4 calls:

441.0ms	(.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
198.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
152.0ms	(cbrt.f64 (cos.f64 y))
46.0ms	(pow.f64 (cos.f64 y) 2)

Compiler

Compiled 620 to 532 computations (14.2% saved)

simplify146.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (118.0ms)

Iter	Nodes	Cost
0	4907	880
1	4907	880

prune137.0ms (1.6%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	93	12	105

Error

0.0b

Counts

105 → 12

Compiler

Compiled 1640 to 623 computations (62% saved)

regimes416.0ms (4.9%)

Accuracy

Total 0.1b remaining (78.9%)

Threshold costs 0.1b (78.9%)

Compiler

Compiled 2032 to 1394 computations (31.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	14
1	37	14

end0.0ms (0%)

sample3.5s (41.6%)

Algorithm

1×

intervals

Results

1.1s	2002×	body	1024	valid
573.0ms	4489×	body	128	valid
378.0ms	1021×	body	512	valid
126.0ms	483×	body	256	valid
5.0ms	5×	body	2048	valid

Compiler

Compiled 521 to 360 computations (30.9% saved)

Details

analyze597.0ms (7%)

sample71.0ms (0.8%)

simplify21.0ms (0.2%)

prune4.0ms (0%)

localize13.0ms (0.2%)

rewrite24.0ms (0.3%)

series562.0ms (6.6%)

simplify121.0ms (1.4%)

prune128.0ms (1.5%)

localize22.0ms (0.3%)

rewrite28.0ms (0.3%)

series589.0ms (6.9%)

simplify147.0ms (1.7%)

prune175.0ms (2.1%)

localize26.0ms (0.3%)

rewrite43.0ms (0.5%)

series464.0ms (5.5%)

simplify122.0ms (1.4%)

prune187.0ms (2.2%)

localize29.0ms (0.3%)

rewrite36.0ms (0.4%)

series838.0ms (9.9%)

simplify146.0ms (1.7%)

prune137.0ms (1.6%)

regimes416.0ms (4.9%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample3.5s (41.6%)

Profiling