Details

sample12.0ms

Algorithm

intervals

Results

6.0ms

257×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	4
1	17	4
2	19	4
3	21	4
4	22	4
5	22	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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

Merged error: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
0.1b	(* (/ 841.0 108.0) x)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `frac-add` `sum-log` `*-commutative` `flip-+` `div-inv`

Counts

2 → 44

Calls

2 calls:

7.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
6.0ms	(* (/ 841.0 108.0) x)

series52.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
14.0ms	(* (/ 841.0 108.0) x)

simplify76.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	241	217
1	828	198
2	3241	196
3	5001	196

prune79.0ms

Filtered

50 candidates to 38 candidates (76.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	47	3	50
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	4	51

Merged error: 0b

Counts

51 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
0.1b	(* (cbrt (/ 841.0 108.0)) x)
0.4b	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
1.0b	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

79×	`cbrt-prod`
76×	`add-sqr-sqrt`
52×	`times-frac`
45×	`add-cube-cbrt` `*-un-lft-identity`
33×	`associate-l`
29×	`cbrt-div`
25×	`pow1`
20×	`add-exp-log` `associate-r` `associate-*l/`
16×	`swap-sqr`
12×	`unswap-sqr`
11×	`frac-times` `pow-prod-down` `add-cbrt-cube`
10×	`prod-exp` `cbrt-unprod`
7×	`associate-*r/` `frac-add`
6×	`pow1/3` `add-log-exp`
5×	`div-inv`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`+-commutative` `pow2` `flip3-+` `pow-plus` `sum-log` `flip-+`

Counts

4 → 159

Calls

4 calls:

17.0ms	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
7.0ms	(* (cbrt (/ 841.0 108.0)) x)
17.0ms	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
12.0ms	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

series228.0ms

Counts

4 → 10

Calls

4 calls:

96.0ms	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
43.0ms	(* (cbrt (/ 841.0 108.0)) x)
89.0ms	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
0.0ms	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

simplify73.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	494	1461
1	1820	1299
2	5001	1232

prune393.0ms

Filtered

169 candidates to 115 candidates (68.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	169	0	169
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	169	4	173

Merged error: 0b

Counts

173 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (* 841.0 x) 108.0) (/ 4.0 29.0))
0.5b	(/ (* 841.0 x) 108.0)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log` `add-cbrt-cube`
6×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
3×	`times-frac` `associate-/r*`
2×	`pow1` `cbrt-undiv` `div-exp`
1×	`+-commutative` `frac-2neg` `flip3-+` `frac-add` `prod-exp` `clear-num` `sum-log` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

2 → 34

Calls

2 calls:

9.0ms	(+ (/ (* 841.0 x) 108.0) (/ 4.0 29.0))
4.0ms	(/ (* 841.0 x) 108.0)

series48.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (/ (* 841.0 x) 108.0) (/ 4.0 29.0))
13.0ms	(/ (* 841.0 x) 108.0)

simplify78.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	201	178
1	789	159
2	3556	158
3	5002	158

prune47.0ms

Filtered

40 candidates to 29 candidates (72.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	40	4	44

Merged error: 0b

Counts

44 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (cbrt (pow (* (/ 841.0 108.0) x) 3)) (/ 4.0 29.0))
0.1b	(* (/ 841.0 108.0) x)
0.2b	(pow (* (/ 841.0 108.0) x) 3)
42.2b	(cbrt (pow (* (/ 841.0 108.0) x) 3))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
15×	`add-exp-log` `add-cbrt-cube`
14×	`add-cube-cbrt`
13×	`associate-l`
10×	`times-frac`
9×	`pow1`
8×	`cbrt-prod`
6×	`add-log-exp`
4×	`associate-*l/` `prod-exp` `cbrt-unprod`
3×	`cube-div` `pow-unpow` `associate-r` `pow-exp` `rem-cube-cbrt`
2×	`cbrt-undiv` `cube-mult` `unpow-prod-down` `cbrt-div` `pow-pow` `unpow3` `cube-prod` `div-exp` `pow-prod-down` `unswap-sqr` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3-+` `pow1/3` `frac-add` `sum-log` `*-commutative` `rem-cbrt-cube` `flip-+` `div-inv` `distribute-lft-out`

Counts

4 → 88

Calls

4 calls:

11.0ms	(+ (cbrt (pow (* (/ 841.0 108.0) x) 3)) (/ 4.0 29.0))
9.0ms	(* (/ 841.0 108.0) x)
9.0ms	(pow (* (/ 841.0 108.0) x) 3)
4.0ms	(cbrt (pow (* (/ 841.0 108.0) x) 3))

series102.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (cbrt (pow (* (/ 841.0 108.0) x) 3)) (/ 4.0 29.0))
14.0ms	(* (/ 841.0 108.0) x)
41.0ms	(pow (* (/ 841.0 108.0) x) 3)
15.0ms	(cbrt (pow (* (/ 841.0 108.0) x) 3))

simplify43.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	311	417
1	1353	373
2	5001	371

prune148.0ms

Filtered

100 candidates to 69 candidates (69.0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	100	4	104

Merged error: 0b

Counts

104 → 4

regimes41.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample283.0ms

Algorithm

intervals

Results

197.0ms	8005×	body	80	valid
0.0ms	4×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid