Details

analyze2.0ms (0%)

Algorithm

1×

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)

sample84.0ms (1%)

Algorithm

1×

intervals

Results

34.0ms	113×	body	1024	valid
28.0ms	44×	body	2048	valid
9.0ms	45×	body	512	valid
3.0ms	20×	body	256	valid
2.0ms	34×	body	128	valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify99.0ms (1.1%)

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

37.4b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.8b	(sin.f64 (+.f64 x eps))
1.2b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
1.2b	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
4.8b	(sin.f64 (+.f64 x eps))

rewrite14.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 26

Calls

4 calls:

7.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
5.0ms	(sin.f64 (+.f64 x eps))
0.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
0.0ms	(sin.f64 (+.f64 x eps))

series121.0ms (1.4%)

Counts

2 → 23

Calls

2 calls:

77.0ms	(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
44.0ms	(sin.f64 (+.f64 x eps))

Compiler

Compiled 368 to 288 computations (21.7% saved)

simplify76.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4922	713
1	4922	713

prune61.0ms (0.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	44	5	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	5	50

Error

0.2b

Counts

50 → 5

Compiler

Compiled 667 to 233 computations (65.1% saved)

localize12.0ms (0.1%)

Local error

Found 8 expressions with local error:

2.5b	(-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
0.1b	(*.f64 (cos.f64 x) (sin.f64 eps))
0.1b	(*.f64 (sin.f64 x) (cos.f64 eps))
0.1b	(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps)))
0.1b	(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps)))
0.1b	(*.f64 (sin.f64 x) (cos.f64 eps))
0.1b	(*.f64 (cos.f64 x) (sin.f64 eps))
2.5b	(-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))

rewrite30.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

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×	`pow-prod-down_binary64_2195` `unswap-sqr_binary64_2092` `sum-log_binary64_2215` `*-commutative_binary64_2055` `diff-log_binary64_2216` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
1×	`flip--_binary64_2099` `difference-of-squares_binary64_2093` `sin-cos-mult_binary64_2280` `flip3--_binary64_2128` `distribute-lft-out--_binary64_2076` `+-commutative_binary64_2054` `associate--l+_binary64_2061` `sub-neg_binary64_2117` `flip3-+_binary64_2127` `flip-+_binary64_2098`

Counts

4 → 66

Calls

8 calls:

9.0ms	(-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
7.0ms	(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps)))
5.0ms	(*.f64 (sin.f64 x) (cos.f64 eps))
5.0ms	(*.f64 (cos.f64 x) (sin.f64 eps))
0.0ms	(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps)))

series561.0ms (6.5%)

Counts

4 → 47

Calls

4 calls:

195.0ms	(-.f64 (+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
152.0ms	(+.f64 (.f64 (sin.f64 x) (cos.f64 eps)) (.f64 (cos.f64 x) (sin.f64 eps)))
107.0ms	(*.f64 (cos.f64 x) (sin.f64 eps))
106.0ms	(*.f64 (sin.f64 x) (cos.f64 eps))

Compiler

Compiled 1112 to 796 computations (28.4% saved)

simplify86.0ms (1%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5193	2022

prune134.0ms (1.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	104	9	113
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	106	12	118

Error

0.1b

Counts

118 → 12

Compiler

Compiled 2437 to 763 computations (68.7% saved)

localize19.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.1b	(*.f64 (cos.f64 x) (sin.f64 eps))
0.1b	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
0.1b	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
0.1b	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
0.6b	(cbrt.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
2.2b	(+.f64 (cos.f64 eps) -1)
2.2b	(+.f64 (cos.f64 eps) -1)
2.2b	(+.f64 (cos.f64 eps) -1)

rewrite23.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

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` `flip3-+_binary64_2127` `flip-+_binary64_2098` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
3×	`sum-log_binary64_2215` `distribute-lft-out_binary64_2075` `+-commutative_binary64_2054` `cbrt-prod_binary64_2155` `difference-of-sqr--1_binary64_2095`
2×	`cbrt-div_binary64_2156`
1×	`pow1/3_binary64_2206`

Counts

4 → 52

Calls

8 calls:

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))))
4.0ms	(+.f64 (cos.f64 eps) -1)
4.0ms	(+.f64 (cos.f64 eps) -1)
0.0ms	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))

series711.0ms (8.2%)

Counts

4 → 26

Calls

4 calls:

623.0ms	(cbrt.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
31.0ms	(+.f64 (cos.f64 eps) -1)
29.0ms	(+.f64 (cos.f64 eps) -1)
28.0ms	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 2349 to 1414 computations (39.8% saved)

simplify62.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4987	1583
1	4987	1583

prune183.0ms (2.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	74	4	78
Fresh	2	9	11
Picked	1	0	1
Done	0	0	0
Total	77	13	90

Error

0.1b

Counts

90 → 13

Compiler

Compiled 4515 to 1972 computations (56.3% saved)

localize35.0ms (0.4%)

Local error

Found 8 expressions with local error:

0.1b	(+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))
0.1b	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
0.1b	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
0.1b	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))))
0.6b	(cbrt.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))))
2.0b	(+.f64 -1 (pow.f64 (cos.f64 eps) 3))
2.2b	(+.f64 (cos.f64 eps) -1)
2.2b	(+.f64 (cos.f64 eps) -1)

rewrite27.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 51

Calls

8 calls:

6.0ms	(+.f64 -1 (pow.f64 (cos.f64 eps) 3))
4.0ms	(cbrt.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))))
4.0ms	(+.f64 (cos.f64 eps) -1)
4.0ms	(+.f64 (cos.f64 eps) -1)
0.0ms	(+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))))

series1.8s (20.2%)

Counts

4 → 27

Calls

4 calls:

1.6s	(cbrt.f64 (+.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (.f64 (sin.f64 x) (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))))
58.0ms	(+.f64 -1 (pow.f64 (cos.f64 eps) 3))
36.0ms	(+.f64 (cos.f64 eps) -1)
32.0ms	(+.f64 (cos.f64 eps) -1)

Compiler

Compiled 3019 to 1852 computations (38.7% saved)

simplify70.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5301	2244

prune184.0ms (2.1%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	76	15	91

Error

0.1b

Counts

91 → 15

Compiler

Compiled 5085 to 2393 computations (52.9% saved)

simplify39.0ms (0.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	630	2243
1	630	2243

regimes229.0ms (2.6%)

Compiler: Compiled 2714 to 1668 computations (38.5% saved)

bsearch0.0ms (0%)

regimes184.0ms (2.1%)

Compiler: Compiled 2432 to 1420 computations (41.6% saved)

bsearch0.0ms (0%)

regimes67.0ms (0.8%)

Compiler: Compiled 950 to 538 computations (43.4% saved)

bsearch0.0ms (0%)

regimes44.0ms (0.5%)

Accuracy

Total 0.3b remaining (78.2%)

Threshold costs 0.3b (78.2%)

Compiler

Compiled 582 to 318 computations (45.4% saved)

bsearch12.0ms (0.1%)

Compiler: Compiled 285 to 160 computations (43.9% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	99	471
1	99	471

end0.0ms (0%)

sample3.7s (43.1%)

Algorithm

1×

intervals

Results

1.1s	3561×	body	1024	valid
646.0ms	1190×	body	2048	valid
273.0ms	1377×	body	512	valid
95.0ms	1294×	body	128	valid
76.0ms	576×	body	256	valid
2.0ms	2×	body	4096	valid

Compiler

Compiled 1661 to 1011 computations (39.1% saved)

Pareto

0.916411521135131

Details

analyze2.0ms (0%)

sample84.0ms (1%)

simplify99.0ms (1.1%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite14.0ms (0.2%)

series121.0ms (1.4%)

simplify76.0ms (0.9%)

prune61.0ms (0.7%)

localize12.0ms (0.1%)

rewrite30.0ms (0.4%)

series561.0ms (6.5%)

simplify86.0ms (1%)

prune134.0ms (1.5%)

localize19.0ms (0.2%)

rewrite23.0ms (0.3%)

series711.0ms (8.2%)

simplify62.0ms (0.7%)

prune183.0ms (2.1%)

localize35.0ms (0.4%)

rewrite27.0ms (0.3%)

series1.8s (20.2%)

simplify70.0ms (0.8%)

prune184.0ms (2.1%)

simplify39.0ms (0.5%)

regimes229.0ms (2.6%)

bsearch0.0ms (0%)

regimes184.0ms (2.1%)

bsearch0.0ms (0%)

regimes67.0ms (0.8%)

bsearch0.0ms (0%)

regimes44.0ms (0.5%)

bsearch12.0ms (0.1%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample3.7s (43.1%)

Profiling