Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

257×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	3
1	19	3
2	21	3
3	23	3
4	25	3
5	26	3
6	26	3

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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 → 2

localize10.0ms

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)

rewrite19.0ms

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×	`expm1-log1p-u` `associate-*l/` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `fma-def` `flip3-+` `div-exp` `pow-prod-down` `frac-add` `sum-log` `*-commutative` `flip-+` `div-inv`

Counts

2 → 49

Calls

2 calls:

7.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
10.0ms	(* (/ 841.0 108.0) x)

series53.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
20.0ms	(* (/ 841.0 108.0) x)

simplify82.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (77.0ms)

Iter	Nodes	Cost
0	252	227
1	873	207
2	3441	206
3	5001	205

prune105.0ms

Filtered

55 candidates to 42 candidates (76.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	52	3	55
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	53	4	57

Merged error: 0b

Counts

57 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
0.3b	(* 841.0 (/ x 108.0))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-l`
2×	`expm1-log1p-u` `associate-*r/` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `fma-def` `flip3-+` `div-exp` `pow-prod-down` `frac-add` `sum-log` `*-commutative` `flip-+` `div-inv`

Counts

2 → 49

Calls

2 calls:

10.0ms	(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
7.0ms	(* 841.0 (/ x 108.0))

series46.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
14.0ms	(* 841.0 (/ x 108.0))

simplify98.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (94.0ms)

Iter	Nodes	Cost
0	265	232
1	1060	212
2	4486	212
3	5001	211

prune98.0ms

Filtered

55 candidates to 42 candidates (76.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	56	3	59

Merged error: 0b

Counts

59 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ 841.0 (sqrt 108.0)) (/ x (sqrt 108.0))) (/ 4.0 29.0))
0.1b	(/ x (sqrt 108.0))
0.3b	(* (/ 841.0 (sqrt 108.0)) (/ x (sqrt 108.0)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

74×	`add-sqr-sqrt`
66×	`times-frac`
44×	`add-cube-cbrt` `*-un-lft-identity`
36×	`sqrt-prod`
22×	`associate-r` `associate-l`
17×	`add-exp-log` `add-cbrt-cube`
9×	`unswap-sqr`
6×	`associate-/r*`
5×	`pow1` `cbrt-undiv` `div-exp` `add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `frac-add` `log1p-expm1-u` `div-inv` `associate-/l*`
2×	`frac-times` `associate-r/` `associate-l/`
1×	`+-commutative` `fma-def` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `*-commutative` `flip-+`

Counts

3 → 133

Calls

3 calls:

12.0ms	(+ (* (/ 841.0 (sqrt 108.0)) (/ x (sqrt 108.0))) (/ 4.0 29.0))
4.0ms	(/ x (sqrt 108.0))
21.0ms	(* (/ 841.0 (sqrt 108.0)) (/ x (sqrt 108.0)))

series300.0ms

Counts

3 → 9

Calls

3 calls:

145.0ms	(+ (* (/ 841.0 (sqrt 108.0)) (/ x (sqrt 108.0))) (/ 4.0 29.0))
57.0ms	(/ x (sqrt 108.0))
98.0ms	(* (/ 841.0 (sqrt 108.0)) (/ x (sqrt 108.0)))

simplify59.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	517	998
1	2239	917
2	5001	856

prune259.0ms

Filtered

142 candidates to 94 candidates (66.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	142	3	145

Merged error: 0b

Counts

145 → 3

localize10.0ms

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)))

rewrite65.0ms

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`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`+-commutative` `pow2` `fma-def` `flip3-+` `pow-plus` `sum-log` `flip-+`

Counts

4 → 168

Calls

4 calls:

18.0ms	(+ (* (* (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)
19.0ms	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
13.0ms	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

series243.0ms

Counts

4 → 10

Calls

4 calls:

105.0ms	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
47.0ms	(* (cbrt (/ 841.0 108.0)) x)
90.0ms	(* (* (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)))

simplify69.0ms

Algorithm

egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	515	1513
1	1897	1352
2	5001	1264

prune393.0ms

Filtered

178 candidates to 124 candidates (69.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	178	0	178
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	178	3	181

Merged error: 0b

Counts

181 → 3

regimes38.0ms

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

sample262.0ms

Algorithm

intervals

Results

172.0ms	8006×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid