Details

analyze1.5s (16.1%)

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)

sample207.0ms (2.2%)

Algorithm

1×

intervals

Results

150.0ms	77×	body	2048	valid
27.0ms	86×	body	1024	valid
10.0ms	54×	body	512	valid
2.0ms	17×	body	256	valid
2.0ms	2×	body	4096	valid
1.0ms	20×	body	128	valid

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify77.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (71.0ms)

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

33.3b

Counts

2 → 1

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
0.6b	(-.f64 x (tan.f64 x))
0.7b	(-.f64 x (sin.f64 x))

rewrite90.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

32.4b

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:

9.0ms	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
6.0ms	(-.f64 x (sin.f64 x))
3.0ms	(-.f64 x (tan.f64 x))

Compiler

Compiled 1513 to 300 computations (80.2% saved)

series228.0ms (2.5%)

Error

Counts

3 → 23

Calls

3 calls:

112.0ms	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
49.0ms	(-.f64 x (tan.f64 x))
42.0ms	(-.f64 x (sin.f64 x))

Compiler

Compiled 878 to 528 computations (39.9% saved)

simplify71.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4957	2110
1	4957	2110

prune78.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	105	2	107
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	105	3	108

Error

Counts

108 → 3

Compiler

Compiled 1796 to 396 computations (78% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1/2 (*.f64 27/2800 (pow.f64 x 4)))
0.1b	(*.f64 27/2800 (pow.f64 x 4))
0.1b	(.f64 9/40 (.f64 x x))
14.6b	(-.f64 (.f64 9/40 (.f64 x x)) (+.f64 1/2 (*.f64 27/2800 (pow.f64 x 4))))

rewrite106.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`add-sqr-sqrt_binary64`
14×	`add-exp-log_binary64`
11×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
9×	`pow1_binary64` `add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
8×	`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×	`sum-log_binary64` `diff-log_binary64` `*-commutative_binary64` `sqr-pow_binary64`
1×	`flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `associate--r+_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

4 → 71

Calls

4 calls:

8.0ms	(-.f64 (.f64 9/40 (.f64 x x)) (+.f64 1/2 (*.f64 27/2800 (pow.f64 x 4))))
5.0ms	(*.f64 27/2800 (pow.f64 x 4))
5.0ms	(.f64 9/40 (.f64 x x))
3.0ms	(+.f64 1/2 (*.f64 27/2800 (pow.f64 x 4)))

Compiler

Compiled 1479 to 1095 computations (26% saved)

series189.0ms (2%)

Error

Counts

4 → 17

Calls

4 calls:

74.0ms	(+.f64 1/2 (*.f64 27/2800 (pow.f64 x 4)))
42.0ms	(-.f64 (.f64 9/40 (.f64 x x)) (+.f64 1/2 (*.f64 27/2800 (pow.f64 x 4))))
34.0ms	(*.f64 27/2800 (pow.f64 x 4))
27.0ms	(.f64 9/40 (.f64 x x))

Compiler

Compiled 506 to 424 computations (16.2% saved)

simplify43.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	4833	1063
1	4833	1063

prune84.0ms (0.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	88	3	91

Error

Counts

91 → 3

Compiler

Compiled 1461 to 1067 computations (27% 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 x (cos.f64 x))
0.1b	(/.f64 (sin.f64 x) x)
0.1b	(/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))

rewrite119.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

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:

16.0ms	(-.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))
3.0ms	(/.f64 (sin.f64 x) x)

Compiler

Compiled 2215 to 642 computations (71% saved)

series172.0ms (1.9%)

Error

Counts

4 → 15

Calls

4 calls:

65.0ms	(-.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (sin.f64 x) x))
46.0ms	(/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))
29.0ms	(/.f64 (sin.f64 x) x)
24.0ms	(*.f64 x (cos.f64 x))

Compiler

Compiled 497 to 289 computations (41.9% saved)

simplify63.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5181	1675

prune85.0ms (0.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	113	3	116

Error

Counts

116 → 3

Compiler

Compiled 2093 to 684 computations (67.3% saved)

regimes105.0ms (1.1%)

Accuracy

Total 0.0b remaining (37.9%)

Threshold costs 0.0b (37.9%)

Compiler

Compiled 599 to 408 computations (31.9% saved)

bsearch53.0ms (0.6%)

Steps

Iters	Range		Point
9	0.0006765776903062166	40910.18263319211	0.03654414618884699
10	-15662.117769301418	-4.445190464558156e-09	-0.033413605152308526

Compiler

Compiled 1 to 1 computations (0% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	111	63
1	111	63

end0.0ms (0%)

sample6.0s (64.4%)

Algorithm

1×

intervals

Results

3.8s	1969×	body	2048	valid
1.0s	2946×	body	1024	valid
280.0ms	1540×	body	512	valid
106.0ms	110×	body	4096	valid
92.0ms	757×	body	256	valid
53.0ms	678×	body	128	valid

Compiler

Compiled 325 to 221 computations (32% saved)

Details

analyze1.5s (16.1%)

sample207.0ms (2.2%)

simplify77.0ms (0.8%)

prune4.0ms (0%)

localize8.0ms (0.1%)

rewrite90.0ms (1%)

series228.0ms (2.5%)

simplify71.0ms (0.8%)

prune78.0ms (0.8%)

localize8.0ms (0.1%)

rewrite106.0ms (1.1%)

series189.0ms (2%)

simplify43.0ms (0.5%)

prune84.0ms (0.9%)

localize9.0ms (0.1%)

rewrite119.0ms (1.3%)

series172.0ms (1.9%)

simplify63.0ms (0.7%)

prune85.0ms (0.9%)

regimes105.0ms (1.1%)

bsearch53.0ms (0.6%)

simplify4.0ms (0%)

end0.0ms (0%)

sample6.0s (64.4%)

Profiling