Details

analyze97.0ms (1.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	117	22
1	117	22
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample81.0ms (1%)

Algorithm

1×

intervals

Results

36.0ms	114×	body	1024	valid
21.0ms	40×	body	2048	valid
8.0ms	43×	body	512	valid
3.0ms	19×	body	256	valid
2.0ms	40×	body	128	valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	72	11
1	72	11

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

38.9b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

1.3b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
3.3b	(sin.f64 (+.f64 x eps))

rewrite39.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

25.1b

Rules

5×	`add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
4×	`add-log-exp_binary64_799`
3×	`add-cube-cbrt_binary64_795` `cancel-sign-sub-inv_binary64_726`
2×	`sin-sum_binary64_893` `pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
1×	`diff-sin_binary64_910` `diff-log_binary64_852` `flip3--_binary64_764` `sub-neg_binary64_753` `flip--_binary64_735` `difference-of-squares_binary64_729` `distribute-lft-out--_binary64_712` `associate--l+_binary64_697`

Counts

2 → 26

Calls

2 calls:

6.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
4.0ms	(sin.f64 (+.f64 x eps))

Compiler

Compiled 382 to 101 computations (73.6% saved)

series139.0ms (1.7%)

Error

12.2b

Counts

2 → 22

Calls

2 calls:

76.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
39.0ms	(sin.f64 (+.f64 x eps))

Compiler

Compiled 616 to 371 computations (39.8% saved)

simplify69.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4896	675
1	4896	675

prune47.0ms (0.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	3	49

Error

0.3b

Counts

49 → 3

Compiler

Compiled 608 to 194 computations (68.1% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (sin.f64 eps) (cos.f64 x))
0.2b	(*.f64 (cos.f64 eps) (sin.f64 x))
0.2b	(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))
3.8b	(-.f64 (+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))

rewrite91.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

15×	`add-sqr-sqrt_binary64_782`
11×	`add-log-exp_binary64_799` `*-un-lft-identity_binary64_760`
9×	`add-cube-cbrt_binary64_795`
8×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
6×	`associate-l_binary64_701` `associate-r_binary64_700`
3×	`cancel-sign-sub-inv_binary64_726`
2×	`sum-log_binary64_851` `diff-log_binary64_852` `pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `unswap-sqr_binary64_728` `*-commutative_binary64_691`
1×	`flip3--_binary64_764` `sub-neg_binary64_753` `flip--_binary64_735` `difference-of-squares_binary64_729` `distribute-lft-out--_binary64_712` `associate--l+_binary64_697` `flip3-+_binary64_763` `flip-+_binary64_734` `+-commutative_binary64_690` `sin-cos-mult_binary64_916`

Counts

4 → 66

Calls

4 calls:

8.0ms	(-.f64 (+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
5.0ms	(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))
4.0ms	(*.f64 (sin.f64 eps) (cos.f64 x))
4.0ms	(*.f64 (cos.f64 eps) (sin.f64 x))

Compiler

Compiled 1495 to 285 computations (80.9% saved)

series532.0ms (6.5%)

Error

0.3b

Counts

4 → 41

Calls

4 calls:

189.0ms	(-.f64 (+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
142.0ms	(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))
97.0ms	(*.f64 (sin.f64 eps) (cos.f64 x))
77.0ms	(*.f64 (cos.f64 eps) (sin.f64 x))

Compiler

Compiled 1682 to 919 computations (45.4% saved)

simplify78.0ms (1%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5052	1808

prune103.0ms (1.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	95	12	107
Fresh	2	0	2
Picked	1	0	1
Done	0	0	0
Total	98	12	110

Error

0.1b

Counts

110 → 12

Compiler

Compiled 2238 to 662 computations (70.4% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
0.1b	(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
0.2b	(*.f64 (cos.f64 x) (sin.f64 eps))
2.4b	(+.f64 (cos.f64 eps) -1)

rewrite100.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-sqr-sqrt_binary64_782`
12×	`*-un-lft-identity_binary64_760`
8×	`add-log-exp_binary64_799` `pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `add-cube-cbrt_binary64_795` `associate-r_binary64_700`
6×	`associate-l_binary64_701`
3×	`flip3-+_binary64_763` `flip-+_binary64_734`
2×	`sum-log_binary64_851` `difference-of-sqr--1_binary64_731` `distribute-lft-out_binary64_711` `+-commutative_binary64_690` `pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `unswap-sqr_binary64_728` `-commutative_binary64_691` `distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709` `associate-r/_binary64_702` `associate-+r+_binary64_692`

Counts

4 → 68

Calls

4 calls:

10.0ms	(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
7.0ms	(*.f64 (cos.f64 x) (sin.f64 eps))
5.0ms	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
4.0ms	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 1405 to 554 computations (60.6% saved)

series438.0ms (5.4%)

Error

0.1b

Counts

4 → 34

Calls

4 calls:

176.0ms	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
111.0ms	(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
108.0ms	(*.f64 (cos.f64 x) (sin.f64 eps))
17.0ms	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 1470 to 952 computations (35.2% saved)

simplify95.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4936	1571
1	4936	1571

prune106.0ms (1.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	94	8	102
Fresh	7	4	11
Picked	1	0	1
Done	0	0	0
Total	102	12	114

Error

0.0b

Counts

114 → 12

Compiler

Compiled 2104 to 896 computations (57.4% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) 1))
0.2b	(.f64 (sin.f64 x) (/.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) 1)))
0.2b	(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 eps)))
0.3b	(+.f64 (cos.f64 eps) 1)

rewrite132.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

21×	`*-un-lft-identity_binary64_760`
20×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `associate-r_binary64_700`
17×	`add-sqr-sqrt_binary64_782`
13×	`add-cube-cbrt_binary64_795`
8×	`pow1_binary64_821` `times-frac_binary64_766`
6×	`add-log-exp_binary64_799` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `associate-l_binary64_701`
4×	`distribute-lft-out_binary64_711` `distribute-rgt-neg-out_binary64_720` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `associate-/r/_binary64_706` `associate-/r*_binary64_704`
3×	`flip3-+_binary64_763` `flip-+_binary64_734` `distribute-rgt-neg-in_binary64_718` `distribute-lft-neg-in_binary64_717`
2×	`pow-prod-down_binary64_831` `unswap-sqr_binary64_728` `*-commutative_binary64_691` `distribute-frac-neg_binary64_723` `div-inv_binary64_757`
1×	`sum-log_binary64_851` `+-commutative_binary64_690` `neg-mul-1_binary64_756` `associate-r/_binary64_702` `frac-2neg_binary64_771` `clear-num_binary64_759` `associate-/l_binary64_705`

Counts

4 → 95

Calls

4 calls:

11.0ms	(.f64 (sin.f64 x) (/.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) 1)))
9.0ms	(/.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) 1))
6.0ms	(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 eps)))
4.0ms	(+.f64 (cos.f64 eps) 1)

Compiler

Compiled 2664 to 872 computations (67.3% saved)

series385.0ms (4.7%)

Error

0.0b

Counts

4 → 19

Calls

4 calls:

247.0ms	(.f64 (sin.f64 x) (/.f64 (.f64 (sin.f64 eps) (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) 1)))
71.0ms	(/.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 eps))) (+.f64 (cos.f64 eps) 1))
37.0ms	(*.f64 (sin.f64 eps) (neg.f64 (sin.f64 eps)))
14.0ms	(+.f64 (cos.f64 eps) 1)

Compiler

Compiled 1123 to 757 computations (32.6% saved)

simplify73.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4980	1531
1	4980	1531

prune103.0ms (1.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	114	12	126

Error

0.0b

Counts

126 → 12

Compiler

Compiled 2519 to 1048 computations (58.4% saved)

regimes620.0ms (7.6%)

Accuracy

Total 0.2b remaining (81.7%)

Threshold costs 0.2b (81.7%)

Compiler

Compiled 7092 to 4396 computations (38% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	28
1	32	28

end0.0ms (0%)

sample4.8s (58.5%)

Algorithm

1×

intervals

Results

1.3s	3508×	body	1024	valid
666.0ms	1218×	body	2048	valid
268.0ms	1360×	body	512	valid
90.0ms	1287×	body	128	valid
81.0ms	625×	body	256	valid
2.0ms	2×	body	4096	valid

Compiler

Compiled 2386 to 1484 computations (37.8% saved)

Details

analyze97.0ms (1.2%)

sample81.0ms (1%)

simplify10.0ms (0.1%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite39.0ms (0.5%)

series139.0ms (1.7%)

simplify69.0ms (0.8%)

prune47.0ms (0.6%)

localize11.0ms (0.1%)

rewrite91.0ms (1.1%)

series532.0ms (6.5%)

simplify78.0ms (1%)

prune103.0ms (1.3%)

localize15.0ms (0.2%)

rewrite100.0ms (1.2%)

series438.0ms (5.4%)

simplify95.0ms (1.2%)

prune106.0ms (1.3%)

localize14.0ms (0.2%)

rewrite132.0ms (1.6%)

series385.0ms (4.7%)

simplify73.0ms (0.9%)

prune103.0ms (1.3%)

regimes620.0ms (7.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample4.8s (58.5%)

Profiling