Details

analyze146.0ms (1.5%)

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)

sample78.0ms (0.8%)

Algorithm

1×

intervals

Results

33.0ms	122×	body	1024	valid
23.0ms	42×	body	2048	valid
8.0ms	42×	body	512	valid
2.0ms	36×	body	128	valid
2.0ms	14×	body	256	valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify9.0ms (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

38.1b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.7b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
2.5b	(sin.f64 (+.f64 x eps))

rewrite41.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

21.4b

Rules

5×	`add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
4×	`add-log-exp_binary64_2163`
3×	`add-cube-cbrt_binary64_2159` `cancel-sign-sub-inv_binary64_2090`
2×	`sin-sum_binary64_2257` `pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
1×	`diff-sin_binary64_2274` `diff-log_binary64_2216` `flip3--_binary64_2128` `sub-neg_binary64_2117` `flip--_binary64_2099` `difference-of-squares_binary64_2093` `distribute-lft-out--_binary64_2076` `associate--l+_binary64_2061`

Counts

2 → 26

Calls

2 calls:

7.0ms	(-.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)

series184.0ms (1.8%)

Error

14.6b

Counts

2 → 23

Calls

2 calls:

102.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
55.0ms	(sin.f64 (+.f64 x eps))

Compiler

Compiled 647 to 389 computations (39.9% saved)

simplify72.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4922	713
1	4922	713

prune54.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	46	3	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	4	50

Error

0.3b

Counts

50 → 4

Compiler

Compiled 626 to 205 computations (67.3% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))
0.1b	(*.f64 (cos.f64 eps) (sin.f64 x))
0.2b	(*.f64 (sin.f64 eps) (cos.f64 x))
3.0b	(-.f64 (+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))

rewrite94.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

15×	`add-sqr-sqrt_binary64_2146`
11×	`add-log-exp_binary64_2163` `*-un-lft-identity_binary64_2124`
9×	`add-cube-cbrt_binary64_2159`
8×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
6×	`associate-l_binary64_2065` `associate-r_binary64_2064`
3×	`cancel-sign-sub-inv_binary64_2090`
2×	`sum-log_binary64_2215` `diff-log_binary64_2216` `pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `unswap-sqr_binary64_2092` `*-commutative_binary64_2055`
1×	`flip3--_binary64_2128` `sub-neg_binary64_2117` `flip--_binary64_2099` `difference-of-squares_binary64_2093` `distribute-lft-out--_binary64_2076` `associate--l+_binary64_2061` `sin-cos-mult_binary64_2280` `flip3-+_binary64_2127` `flip-+_binary64_2098` `+-commutative_binary64_2054`

Counts

4 → 66

Calls

4 calls:

9.0ms	(-.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)))
5.0ms	(*.f64 (sin.f64 eps) (cos.f64 x))
5.0ms	(*.f64 (cos.f64 eps) (sin.f64 x))

Compiler

Compiled 1495 to 285 computations (80.9% saved)

series823.0ms (8.2%)

Error

0.3b

Counts

4 → 43

Calls

4 calls:

264.0ms	(-.f64 (+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
230.0ms	(+.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (.f64 (sin.f64 eps) (cos.f64 x)))
147.0ms	(*.f64 (sin.f64 eps) (cos.f64 x))
146.0ms	(*.f64 (cos.f64 eps) (sin.f64 x))

Compiler

Compiled 1780 to 977 computations (45.1% saved)

simplify73.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5016	1870

prune125.0ms (1.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	98	11	109
Fresh	0	2	2
Picked	1	0	1
Done	1	0	1
Total	100	13	113

Error

0.2b

Counts

113 → 13

Compiler

Compiled 2303 to 700 computations (69.6% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
1.5b	(+.f64 (cos.f64 eps) -1)
1.5b	(+.f64 (cos.f64 eps) -1)
1.5b	(+.f64 (cos.f64 eps) -1)

rewrite144.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

11×	`*-un-lft-identity_binary64_2124`
10×	`add-log-exp_binary64_2163`
8×	`add-sqr-sqrt_binary64_2146`
5×	`add-cube-cbrt_binary64_2159`
4×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `flip3-+_binary64_2127` `flip-+_binary64_2098`
3×	`sum-log_binary64_2215` `difference-of-sqr--1_binary64_2095` `distribute-lft-out_binary64_2075` `+-commutative_binary64_2054` `cbrt-prod_binary64_2155`
2×	`cbrt-div_binary64_2156`
1×	`pow1/3_binary64_2206`

Counts

4 → 52

Calls

4 calls:

4.0ms	(+.f64 (cos.f64 eps) -1)
4.0ms	(+.f64 (cos.f64 eps) -1)
4.0ms	(+.f64 (cos.f64 eps) -1)
4.0ms	(cbrt.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))

Compiler

Compiled 2746 to 1153 computations (58% saved)

series969.0ms (9.7%)

Error

0.2b

Counts

4 → 23

Calls

4 calls:

817.0ms	(cbrt.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
33.0ms	(+.f64 (cos.f64 eps) -1)
31.0ms	(+.f64 (cos.f64 eps) -1)
28.0ms	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 3468 to 1884 computations (45.7% saved)

simplify59.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4971	1508
1	4971	1508

prune193.0ms (1.9%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	67	8	75
Fresh	2	10	12
Picked	1	0	1
Done	0	0	0
Total	70	18	88

Error

0.1b

Counts

88 → 18

Compiler

Compiled 4538 to 2000 computations (55.9% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 3)))))
1.5b	(-.f64 (cos.f64 eps) 1)
1.5b	(+.f64 (cos.f64 eps) -1)
1.5b	(+.f64 (cos.f64 eps) -1)

rewrite170.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

13×	`*-un-lft-identity_binary64_2124`
12×	`add-sqr-sqrt_binary64_2146`
10×	`add-log-exp_binary64_2163`
6×	`add-cube-cbrt_binary64_2159`
4×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
3×	`flip3-+_binary64_2127` `flip-+_binary64_2098` `cancel-sign-sub-inv_binary64_2090` `cbrt-prod_binary64_2155`
2×	`sum-log_binary64_2215` `difference-of-sqr--1_binary64_2095` `distribute-lft-out_binary64_2075` `+-commutative_binary64_2054` `difference-of-squares_binary64_2093` `cbrt-div_binary64_2156`
1×	`diff-log_binary64_2216` `flip3--_binary64_2128` `sub-neg_binary64_2117` `flip--_binary64_2099` `difference-of-sqr-1_binary64_2094` `distribute-lft-out--_binary64_2076` `pow1/3_binary64_2206`

Counts

4 → 57

Calls

4 calls:

5.0ms	(-.f64 (cos.f64 eps) 1)
4.0ms	(+.f64 (cos.f64 eps) -1)
4.0ms	(cbrt.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 3)))))
4.0ms	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 3209 to 1473 computations (54.1% saved)

series972.0ms (9.7%)

Error

0.1b

Counts

4 → 23

Calls

4 calls:

816.0ms	(cbrt.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 3)))))
35.0ms	(-.f64 (cos.f64 eps) 1)
33.0ms	(+.f64 (cos.f64 eps) -1)
32.0ms	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 3567 to 1983 computations (44.4% saved)

simplify58.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5019	1544

prune173.0ms (1.7%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	78	2	80
Fresh	2	15	17
Picked	0	1	1
Done	0	0	0
Total	80	18	98

Error

0.1b

Counts

98 → 18

Compiler

Compiled 4252 to 1869 computations (56% saved)

regimes811.0ms (8.1%)

Accuracy

Total 0.4b remaining (82.6%)

Threshold costs 0.4b (82.6%)

Compiler

Compiled 10230 to 5932 computations (42% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	21
1	16	21

end0.0ms (0%)

sample4.7s (46.8%)

Algorithm

1×

intervals

Results

1.0s	3523×	body	1024	valid
594.0ms	1160×	body	2048	valid
256.0ms	1386×	body	512	valid
89.0ms	1296×	body	128	valid
76.0ms	632×	body	256	valid
3.0ms	3×	body	4096	valid

Compiler

Compiled 3428 to 1994 computations (41.8% saved)

Details

analyze146.0ms (1.5%)

sample78.0ms (0.8%)

simplify9.0ms (0.1%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite41.0ms (0.4%)

series184.0ms (1.8%)

simplify72.0ms (0.7%)

prune54.0ms (0.5%)

localize11.0ms (0.1%)

rewrite94.0ms (0.9%)

series823.0ms (8.2%)

simplify73.0ms (0.7%)

prune125.0ms (1.3%)

localize16.0ms (0.2%)

rewrite144.0ms (1.4%)

series969.0ms (9.7%)

simplify59.0ms (0.6%)

prune193.0ms (1.9%)

localize25.0ms (0.3%)

rewrite170.0ms (1.7%)

series972.0ms (9.7%)

simplify58.0ms (0.6%)

prune173.0ms (1.7%)

regimes811.0ms (8.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample4.7s (46.8%)

Profiling