Details

analyze1.4s

Algorithm

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

sample323.0ms

Algorithm

intervals

Results

224.0ms	67×	body	2560	valid
64.0ms	81×	body	1280	valid
15.0ms	53×	body	640	valid
6.0ms	28×	body	320	valid
2.0ms	17×	body	160	valid
1.0ms	10×	body	80	valid

simplify496.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	1004	9
1	1004	9

prune4.0ms

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

Merged error: 36.3b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- x (sin x)) (- x (tan x)))
1.3b	(- x (tan x))
1.3b	(- x (sin x))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
15×	`add-cube-cbrt`
14×	`distribute-lft-out--` `difference-of-squares`
7×	`add-log-exp`
5×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
4×	`flip3--` `flip--`
3×	`pow1`
2×	`sub-neg` `diff-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

3 → 78

Calls

3 calls:

8.0ms	(/ (- x (sin x)) (- x (tan x)))
3.0ms	(- x (tan x))
6.0ms	(- x (sin x))

series39.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(/ (- x (sin x)) (- x (tan x)))
12.0ms	(- x (tan x))
13.0ms	(- x (sin x))

simplify75.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4864	1139
1	4864	1139

prune84.0ms

Filtered

63 candidates to 87 candidates (-38.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	85	2	87
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	2	88

Merged error: 0b

Counts

88 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (* x 9/40))
0.1b	(* x 9/40)
0.3b	(* (pow x 4) -27/2800)
12.1b	(+ (* x (* x 9/40)) (+ -1/2 (* (pow x 4) -27/2800)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`add-exp-log`
13×	`associate-l` `add-cbrt-cube`
11×	`pow1`
10×	`add-cube-cbrt` `*-un-lft-identity`
9×	`add-log-exp`
7×	`associate-r` `prod-exp`
5×	`cbrt-unprod`
4×	`unpow-prod-down` `pow-prod-down` `unswap-sqr`
3×	`sum-log` `*-commutative`
2×	`sqr-pow`
1×	`+-commutative` `pow-to-exp` `associate-+r+` `flip3-+` `pow-exp` `flip-+`

Counts

4 → 74

Calls

4 calls:

5.0ms	(* x (* x 9/40))
4.0ms	(* x 9/40)
5.0ms	(* (pow x 4) -27/2800)
8.0ms	(+ (* x (* x 9/40)) (+ -1/2 (* (pow x 4) -27/2800)))

series18.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* x (* x 9/40))
2.0ms	(* x 9/40)
4.0ms	(* (pow x 4) -27/2800)
6.0ms	(+ (* x (* x 9/40)) (+ -1/2 (* (pow x 4) -27/2800)))

simplify57.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4903	646
1	4903	646

prune98.0ms

Filtered

53 candidates to 86 candidates (-62.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	86	2	88

Merged error: 0b

Counts

88 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (sin x) (- x (tan x)))
1.1b	(- (/ x (- x (tan x))) (/ (sin x) (- x (tan x))))
1.3b	(- x (tan x))
1.3b	(- x (tan x))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

54×	`*-un-lft-identity`
44×	`add-sqr-sqrt`
33×	`times-frac`
18×	`distribute-lft-out--`
16×	`add-cube-cbrt`
12×	`difference-of-squares`
10×	`add-log-exp`
6×	`add-exp-log` `flip3--` `associate-/r/` `add-cbrt-cube` `flip--`
5×	`associate-/r*`
4×	`pow1`
3×	`sub-neg` `distribute-rgt-out--` `diff-log` `div-inv` `associate-/l*`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `frac-sub` `sub-div`

Counts

4 → 91

Calls

4 calls:

7.0ms	(/ (sin x) (- x (tan x)))
30.0ms	(- (/ x (- x (tan x))) (/ (sin x) (- x (tan x))))
3.0ms	(- x (tan x))
4.0ms	(- x (tan x))

series67.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(/ (sin x) (- x (tan x)))
34.0ms	(- (/ x (- x (tan x))) (/ (sin x) (- x (tan x))))
10.0ms	(- x (tan x))
11.0ms	(- x (tan x))

simplify50.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5028	1430

prune84.0ms

Filtered

80 candidates to 103 candidates (-28.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	103	2	105

Merged error: 0b

Counts

105 → 2

regimes36.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 31.8b

bsearch40.0ms

Steps

Iters	Range		Point
10	4.8551216808130986e-08	14582604.515398767	0.027721191804569126
9	-121.98582949803782	-5.199923109530986e-06	-0.03256340944027832

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	56	36
1	56	36

end0.0ms

sample6.8s

Algorithm

intervals

Results

4.2s	1626×	body	2560	valid
1.7s	2745×	body	1280	valid
514.0ms	1878×	body	640	valid
180.0ms	949×	body	320	valid
55.0ms	433×	body	160	valid
33.0ms	369×	body	80	valid

Details

analyze1.4s

sample323.0ms

simplify496.0ms

prune4.0ms

localize10.0ms

rewrite21.0ms

series39.0ms

simplify75.0ms

prune84.0ms

localize9.0ms

rewrite24.0ms

series18.0ms

simplify57.0ms

prune98.0ms

localize9.0ms

rewrite47.0ms

series67.0ms

simplify50.0ms

prune84.0ms

regimes36.0ms

bsearch40.0ms

simplify2.0ms

end0.0ms

sample6.8s

Profiling