Details

analyze1.9s (15.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1005	14
1	1005	14
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
0%	100%	0%	4
0%	100%	0%	5
0%	100%	0%	6
0%	100%	0%	7
0%	100%	0%	8
0%	100%	0%	9
0%	100%	0%	10
0%	100%	0%	11
0%	100%	0%	12
0%	100%	0%	13
0.1%	99.9%	0%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample206.0ms (1.7%)

Algorithm

1×

intervals

Results

132.0ms	61×	body	2048	valid
36.0ms	98×	body	1024	valid
10.0ms	44×	body	512	valid
7.0ms	5×	body	4096	valid
4.0ms	32×	body	256	valid
1.0ms	16×	body	128	valid

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify110.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	1005	14
1	1005	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

33.8b

Counts

2 → 1

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
1.9b	(-.f64 x (tan.f64 x))
1.9b	(-.f64 x (sin.f64 x))

rewrite113.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

32.9b

Rules

45×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
25×	`times-frac_binary64`
17×	`add-cube-cbrt_binary64`
14×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
7×	`add-log-exp_binary64`
6×	`cancel-sign-sub-inv_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l_binary64` `associate-/r_binary64`
4×	`flip3--_binary64` `flip--_binary64`
3×	`pow1_binary64`
2×	`diff-log_binary64` `sub-neg_binary64` `associate-/l/_binary64` `associate-/r/_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64`

Counts

3 → 84

Calls

3 calls:

8.0ms	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
6.0ms	(-.f64 x (sin.f64 x))
5.0ms	(-.f64 x (tan.f64 x))

Compiler

Compiled 1513 to 300 computations (80.2% saved)

series260.0ms (2.1%)

Error

0.0b

Counts

3 → 26

Calls

3 calls:

111.0ms	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
76.0ms	(-.f64 x (tan.f64 x))
46.0ms	(-.f64 x (sin.f64 x))

Compiler

Compiled 920 to 589 computations (36% saved)

simplify92.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4924	2050
1	4924	2050

prune93.0ms (0.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	106	4	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	107	4	111

Error

0.0b

Counts

111 → 4

Compiler

Compiled 1812 to 444 computations (75.5% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(*.f64 27/2800 (pow.f64 x 4))
0.3b	(.f64 9/40 (.f64 x x))
15.3b	(-.f64 (.f64 9/40 (.f64 x x)) (+.f64 1/2 (*.f64 27/2800 (pow.f64 x 4))))

rewrite126.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-sqr-sqrt_binary64`
13×	`add-exp-log_binary64`
10×	`add-cbrt-cube_binary64`
8×	`add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `-un-lft-identity_binary64` `associate-r*_binary64`
6×	`prod-exp_binary64` `associate-l_binary64`
4×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `unpow-prod-down_binary64`
3×	`cancel-sign-sub-inv_binary64` `pow-prod-down_binary64`
2×	`diff-log_binary64` `*-commutative_binary64` `sqr-pow_binary64`
1×	`sum-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `associate--r+_binary64` `pow-to-exp_binary64` `pow-exp_binary64`

Counts

3 → 60

Calls

3 calls:

14.0ms	(-.f64 (.f64 9/40 (.f64 x x)) (+.f64 1/2 (*.f64 27/2800 (pow.f64 x 4))))
11.0ms	(*.f64 27/2800 (pow.f64 x 4))
10.0ms	(.f64 9/40 (.f64 x x))

Compiler

Compiled 1235 to 905 computations (26.7% saved)

series151.0ms (1.2%)

Error

0.0b

Counts

3 → 11

Calls

3 calls:

66.0ms	(-.f64 (.f64 9/40 (.f64 x x)) (+.f64 1/2 (*.f64 27/2800 (pow.f64 x 4))))
46.0ms	(*.f64 27/2800 (pow.f64 x 4))
32.0ms	(.f64 9/40 (.f64 x x))

Compiler

Compiled 331 to 289 computations (12.7% saved)

simplify114.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4889	858
1	4889	858

prune84.0ms (0.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	71	4	75

Error

0.0b

Counts

75 → 4

Compiler

Compiled 1226 to 892 computations (27.2% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(*.f64 27/2800 (pow.f64 x 4))
0.3b	(.f64 9/40 (.f64 x x))
15.3b	(-.f64 (+.f64 -1/2 (.f64 9/40 (.f64 x x))) (*.f64 27/2800 (pow.f64 x 4)))

rewrite118.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`add-exp-log_binary64` `add-sqr-sqrt_binary64`
10×	`add-cbrt-cube_binary64`
8×	`add-log-exp_binary64` `pow1_binary64` `associate-r_binary64`
7×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
6×	`prod-exp_binary64` `associate-l_binary64`
4×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `unpow-prod-down_binary64`
3×	`pow-prod-down_binary64`
2×	`diff-log_binary64` `*-commutative_binary64` `sqr-pow_binary64`
1×	`sum-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `cancel-sign-sub-inv_binary64` `associate--l+_binary64` `pow-to-exp_binary64` `pow-exp_binary64`

Counts

3 → 58

Calls

3 calls:

6.0ms	(-.f64 (+.f64 -1/2 (.f64 9/40 (.f64 x x))) (*.f64 27/2800 (pow.f64 x 4)))
5.0ms	(.f64 9/40 (.f64 x x))
5.0ms	(*.f64 27/2800 (pow.f64 x 4))

Compiler

Compiled 1176 to 857 computations (27.1% saved)

series124.0ms (1%)

Error

0.0b

Counts

3 → 11

Calls

3 calls:

44.0ms	(-.f64 (+.f64 -1/2 (.f64 9/40 (.f64 x x))) (*.f64 27/2800 (pow.f64 x 4)))
38.0ms	(.f64 9/40 (.f64 x x))
34.0ms	(*.f64 27/2800 (pow.f64 x 4))

Compiler

Compiled 331 to 289 computations (12.7% saved)

simplify75.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4973	845
1	4973	845

prune78.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	69	4	73

Error

0.0b

Counts

73 → 4

Compiler

Compiled 1192 to 859 computations (27.9% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (sin.f64 x) x))
0.1b	(/.f64 (sin.f64 x) x)
0.1b	(*.f64 x (cos.f64 x))
0.2b	(/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))

rewrite135.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

30×	`add-sqr-sqrt_binary64`
28×	`*-un-lft-identity_binary64`
23×	`add-cube-cbrt_binary64`
22×	`times-frac_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `cancel-sign-sub-inv_binary64`
9×	`add-log-exp_binary64`
6×	`pow1_binary64` `associate-/l*_binary64`
4×	`associate-/r*_binary64`
3×	`div-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `associate-l_binary64` `associate-r_binary64`
2×	`prod-exp_binary64` `cbrt-unprod_binary64` `frac-2neg_binary64` `clear-num_binary64` `diff-log_binary64` `frac-sub_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
1×	`pow-prod-down_binary64` `unswap-sqr_binary64` `*-commutative_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `distribute-lft-out_binary64` `associate--l+_binary64`

Counts

4 → 98

Calls

4 calls:

17.0ms	(-.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (sin.f64 x) x))
5.0ms	(/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))
4.0ms	(*.f64 x (cos.f64 x))
4.0ms	(/.f64 (sin.f64 x) x)

Compiler

Compiled 2215 to 642 computations (71% saved)

series183.0ms (1.5%)

Error

0.0b

Counts

4 → 15

Calls

4 calls:

64.0ms	(-.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (sin.f64 x) x))
45.0ms	(/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))
36.0ms	(*.f64 x (cos.f64 x))
30.0ms	(/.f64 (sin.f64 x) x)

Compiler

Compiled 497 to 289 computations (41.9% saved)

simplify67.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5181	1675

prune109.0ms (0.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	113	4	117

Error

0.0b

Counts

117 → 4

Compiler

Compiled 2093 to 684 computations (67.3% saved)

regimes250.0ms (2%)

Accuracy

Total 0.2b remaining (93.4%)

Threshold costs 0.2b (93.4%)

Compiler

Compiled 1172 to 816 computations (30.4% saved)

bsearch59.0ms (0.5%)

Steps

Iters	Range		Point
7	0.0008729951881598737	0.14829432703029602	0.02883492941991452
10	-20396235690.07604	-4.2447522135263546e-07	-4.728769858289019

Compiler

Compiled 1 to 1 computations (0% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	95	75
1	95	75

end0.0ms (0%)

sample7.8s (63.2%)

Algorithm

1×

intervals

Results

4.6s	1933×	body	2048	valid
1.3s	3029×	body	1024	valid
342.0ms	1526×	body	512	valid
140.0ms	115×	body	4096	valid
132.0ms	776×	body	256	valid
55.0ms	621×	body	128	valid

Compiler

Compiled 615 to 424 computations (31.1% saved)

Details

analyze1.9s (15.8%)

sample206.0ms (1.7%)

simplify110.0ms (0.9%)

prune4.0ms (0%)

localize14.0ms (0.1%)

rewrite113.0ms (0.9%)

series260.0ms (2.1%)

simplify92.0ms (0.7%)

prune93.0ms (0.8%)

localize8.0ms (0.1%)

rewrite126.0ms (1%)

series151.0ms (1.2%)

simplify114.0ms (0.9%)

prune84.0ms (0.7%)

localize11.0ms (0.1%)

rewrite118.0ms (1%)

series124.0ms (1%)

simplify75.0ms (0.6%)

prune78.0ms (0.6%)

localize9.0ms (0.1%)

rewrite135.0ms (1.1%)

series183.0ms (1.5%)

simplify67.0ms (0.5%)

prune109.0ms (0.9%)

regimes250.0ms (2%)

bsearch59.0ms (0.5%)

simplify4.0ms (0%)

end0.0ms (0%)

sample7.8s (63.2%)

Profiling