Details

analyze1.8s (11.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4958	136
1	4958	136
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
25%	74.9%	0.1%	6
25%	74.9%	0.1%	7
31.2%	68.6%	0.1%	8
31.2%	56.2%	12.6%	9
34.3%	53%	12.6%	10
37.4%	49.9%	12.6%	11
46.8%	40.6%	12.6%	12
47.8%	39.6%	12.6%	13
49.7%	37.1%	13.2%	14

Compiler

Compiled 22 to 20 computations (9.1% saved)

sample160.0ms (1.1%)

Algorithm

1×

intervals

Results

46.0ms	49×	body	1024	valid
37.0ms	42×	body	1024	invalid
20.0ms	164×	body	128	valid
12.0ms	9×	body	2048	valid
12.0ms	20×	body	512	valid
7.0ms	12×	body	512	invalid
5.0ms	14×	body	256	valid
4.0ms	10×	body	256	invalid
2.0ms	14×	body	128	invalid

Compiler

Compiled 43 to 42 computations (2.3% saved)

simplify153.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (147.0ms)

Iter	Nodes	Cost
0	5252	34

prune3.0ms (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

19.0b

Counts

2 → 1

Compiler

Compiled 42 to 38 computations (9.5% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (/.f64 angle 180) PI.f64)
0.4b	(*.f64 (/.f64 angle 180) PI.f64)
22.1b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
22.2b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite184.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

18.0b

Rules

30×	`add-sqr-sqrt_binary64_441`
26×	`associate-l_binary64_360`
20×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419` `times-frac_binary64_425`
14×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
8×	`pow1_binary64_480`
6×	`associate-r_binary64_359`
4×	`add-log-exp_binary64_458` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387`
2×	`pow-prod-down_binary64_490` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `associate-l/_binary64_362` `div-inv_binary64_416` `-commutative_binary64_350`

Counts

4 → 78

Calls

4 calls:

7.0ms	(*.f64 (/.f64 angle 180) PI.f64)
7.0ms	(*.f64 (/.f64 angle 180) PI.f64)
2.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

Compiler

Compiled 2162 to 1537 computations (28.9% saved)

series155.0ms (1%)

Error

18.6b

Counts

4 → 17

Calls

4 calls:

35.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
35.0ms	(*.f64 (/.f64 angle 180) PI.f64)
30.0ms	(*.f64 (/.f64 angle 180) PI.f64)
29.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

Compiler

Compiled 1112 to 917 computations (17.5% saved)

simplify64.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4938	1151
1	4938	1151

prune211.0ms (1.4%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	71	24	95
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	24	96

Error

18.0b

Counts

96 → 24

Compiler

Compiled 3178 to 2308 computations (27.4% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b	(cbrt.f64 PI.f64)
1.0b	(cbrt.f64 PI.f64)
22.1b	(cos.f64 (.f64 (.f64 (.f64 1/180 angle) (.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64))) (cbrt.f64 PI.f64)))
22.2b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite77.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

18.0b

Rules

6×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419` `cbrt-prod_binary64_450`
4×	`pow1_binary64_480` `add-log-exp_binary64_458` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
2×	`pow1/3_binary64_501`

Counts

4 → 36

Calls

4 calls:

3.0ms	(cos.f64 (.f64 (.f64 (.f64 1/180 angle) (.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64))) (cbrt.f64 PI.f64)))
2.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
1.0ms	(cbrt.f64 PI.f64)
1.0ms	(cbrt.f64 PI.f64)

Compiler

Compiled 1233 to 710 computations (42.4% saved)

series88.0ms (0.6%)

Error

18.0b

Counts

4 → 11

Calls

4 calls:

38.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
33.0ms	(cos.f64 (.f64 (.f64 (.f64 1/180 angle) (.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64))) (cbrt.f64 PI.f64)))
0.0ms	(cbrt.f64 PI.f64)
0.0ms	(cbrt.f64 PI.f64)

Compiler

Compiled 832 to 637 computations (23.4% saved)

simplify57.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5015	568

prune114.0ms (0.8%)

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	44	3	47
Fresh	2	21	23
Picked	0	1	1
Done	0	0	0
Total	46	25	71

Error

18.0b

Counts

71 → 25

Compiler

Compiled 2161 to 1471 computations (31.9% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b	(cbrt.f64 PI.f64)
1.0b	(cbrt.f64 PI.f64)
22.2b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
22.2b	(cos.f64 (.f64 (.f64 (.f64 1/180 angle) (.f64 (cbrt.f64 PI.f64) (*.f64 (sqrt.f64 (cbrt.f64 PI.f64)) (sqrt.f64 (cbrt.f64 PI.f64))))) (cbrt.f64 PI.f64)))

rewrite78.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

18.0b

Rules

6×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419` `cbrt-prod_binary64_450`
4×	`pow1_binary64_480` `add-log-exp_binary64_458` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
2×	`pow1/3_binary64_501`

Counts

4 → 36

Calls

4 calls:

5.0ms	(cos.f64 (.f64 (.f64 (.f64 1/180 angle) (.f64 (cbrt.f64 PI.f64) (*.f64 (sqrt.f64 (cbrt.f64 PI.f64)) (sqrt.f64 (cbrt.f64 PI.f64))))) (cbrt.f64 PI.f64)))
2.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
1.0ms	(cbrt.f64 PI.f64)
1.0ms	(cbrt.f64 PI.f64)

Compiler

Compiled 1438 to 733 computations (49% saved)

series78.0ms (0.5%)

Error

18.0b

Counts

4 → 11

Calls

4 calls:

33.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
28.0ms	(cos.f64 (.f64 (.f64 (.f64 1/180 angle) (.f64 (cbrt.f64 PI.f64) (*.f64 (sqrt.f64 (cbrt.f64 PI.f64)) (sqrt.f64 (cbrt.f64 PI.f64))))) (cbrt.f64 PI.f64)))
0.0ms	(cbrt.f64 PI.f64)
0.0ms	(cbrt.f64 PI.f64)

Compiler

Compiled 902 to 655 computations (27.4% saved)

simplify60.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5140	568

prune113.0ms (0.8%)

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	0	23	23
Picked	0	1	1
Done	0	1	1
Total	46	26	72

Error

18.0b

Counts

72 → 26

Compiler

Compiled 2351 to 1491 computations (36.6% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b	(cbrt.f64 PI.f64)
1.0b	(*.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64))
22.2b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
22.4b	(cos.f64 (.f64 (.f64 (.f64 1/180 angle) (.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64))) (*.f64 (cbrt.f64 (sqrt.f64 PI.f64)) (cbrt.f64 (sqrt.f64 PI.f64)))))

rewrite130.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

17.9b

Rules

21×	`add-sqr-sqrt_binary64_441`
19×	`cbrt-prod_binary64_450`
13×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
11×	`pow1_binary64_480`
7×	`pow1/3_binary64_501`
6×	`add-exp-log_binary64_457` `swap-sqr_binary64_386` `associate-l_binary64_360` `associate-r_binary64_359`
4×	`add-log-exp_binary64_458` `add-cbrt-cube_binary64_455` `unswap-sqr_binary64_387`
2×	`pow-prod-down_binary64_490` `pow-prod-up_binary64_489` `pow-sqr_binary64_392`
1×	`pow2_binary64_500` `pow-plus_binary64_482` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `*-commutative_binary64_350`

Counts

4 → 65

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64))
5.0ms	(cos.f64 (.f64 (.f64 (.f64 1/180 angle) (.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64))) (*.f64 (cbrt.f64 (sqrt.f64 PI.f64)) (cbrt.f64 (sqrt.f64 PI.f64)))))
2.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
1.0ms	(cbrt.f64 PI.f64)

Compiler

Compiled 2567 to 1256 computations (51.1% saved)

series83.0ms (0.6%)

Error

18.0b

Counts

4 → 11

Calls

4 calls:

33.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
30.0ms	(cos.f64 (.f64 (.f64 (.f64 1/180 angle) (.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64))) (*.f64 (cbrt.f64 (sqrt.f64 PI.f64)) (cbrt.f64 (sqrt.f64 PI.f64)))))
0.0ms	(*.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64))
0.0ms	(cbrt.f64 PI.f64)

Compiler

Compiled 902 to 664 computations (26.4% saved)

simplify68.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4866	1036
1	4866	1036

prune128.0ms (0.9%)

Pruning

29 alts after pruning (27 fresh and 2 done)

	Pruned	Kept	Total
New	72	4	76
Fresh	0	23	23
Picked	1	0	1
Done	0	2	2
Total	73	29	102

Error

17.9b

Counts

102 → 29

Compiler

Compiled 2768 to 1487 computations (46.3% saved)

regimes2.0s (13.3%)

Accuracy

Total 1.4b remaining (6.6%)

Threshold costs 0b (0%)

Compiler

Compiled 27362 to 22008 computations (19.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	48
1	29	48

end0.0ms (0%)

sample9.1s (60.8%)

Algorithm

1×

intervals

Results

1.5s	1632×	body	1024	valid
1.3s	1410×	body	1024	invalid
637.0ms	4930×	body	128	valid
488.0ms	820×	body	512	valid
417.0ms	685×	body	512	invalid
255.0ms	191×	body	2048	valid
132.0ms	423×	body	256	valid
128.0ms	365×	body	256	invalid
74.0ms	575×	body	128	invalid
18.0ms	4×	body	4096	valid

Compiler

Compiled 4344 to 3478 computations (19.9% saved)

Details

analyze1.8s (11.9%)

sample160.0ms (1.1%)

simplify153.0ms (1%)

prune3.0ms (0%)

localize18.0ms (0.1%)

rewrite184.0ms (1.2%)

series155.0ms (1%)

simplify64.0ms (0.4%)

prune211.0ms (1.4%)

localize23.0ms (0.2%)

rewrite77.0ms (0.5%)

series88.0ms (0.6%)

simplify57.0ms (0.4%)

prune114.0ms (0.8%)

localize24.0ms (0.2%)

rewrite78.0ms (0.5%)

series78.0ms (0.5%)

simplify60.0ms (0.4%)

prune113.0ms (0.8%)

localize23.0ms (0.2%)

rewrite130.0ms (0.9%)

series83.0ms (0.6%)

simplify68.0ms (0.5%)

prune128.0ms (0.9%)

regimes2.0s (13.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample9.1s (60.8%)

Profiling