Details

sample24.0ms

Algorithm

intervals

Results

11.0ms

353×

body

valid

simplify123.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	28	4
2	48	4
3	79	4
4	121	4
5	149	4
6	218	4
7	320	4
8	396	4
9	599	4
10	893	4
11	1278	4
12	2173	4
13	3752	4
14	5001	4

prune2.0ms

Filtered

1 candidates to 0 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: 7.0b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) z)
0.0b	(+ x (/ (* (- y x) z) t))
7.3b	(/ (* (- y x) z) t)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
42×	`times-frac`
32×	`add-cube-cbrt`
25×	`associate-l`
15×	`associate-r`
14×	`associate-/l*`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `*-commutative` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`
4×	`associate-*l/`
3×	`associate-/r*`
2×	`cbrt-undiv` `flip3--` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `flip-+` `div-inv` `distribute-lft-out`

Counts

3 → 109

Calls

3 calls:

6.0ms	(* (- y x) z)
15.0ms	(+ x (/ (* (- y x) z) t))
10.0ms	(/ (* (- y x) z) t)

series119.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(* (- y x) z)
37.0ms	(+ x (/ (* (- y x) z) t))
49.0ms	(/ (* (- y x) z) t)

simplify56.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	429	685
1	1769	638
2	5002	638

prune166.0ms

Filtered

118 candidates to 84 candidates (28.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	114	4	118
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	115	4	119

Merged error: 0b

Counts

119 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (* (- y x) 1) (/ t z)))
6.9b	(/ (* (- y x) 1) (/ t z))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

339×	`times-frac`
228×	`add-sqr-sqrt`
202×	`*-un-lft-identity`
158×	`add-cube-cbrt`
70×	`associate-l`
42×	`associate-r`
28×	`unswap-sqr`
19×	`add-exp-log`
18×	`associate-/l*`
17×	`div-inv`
16×	`associate-/r*`
14×	`*-commutative` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
9×	`div-exp` `associate-/r/`
6×	`cbrt-undiv`
4×	`prod-exp` `add-log-exp`
2×	`pow1` `frac-2neg` `1-exp` `associate-*l/` `clear-num` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 266

Calls

2 calls:

44.0ms	(+ x (/ (* (- y x) 1) (/ t z)))
18.0ms	(/ (* (- y x) 1) (/ t z))

series86.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ x (/ (* (- y x) 1) (/ t z)))
46.0ms	(/ (* (- y x) 1) (/ t z))

simplify57.0ms

Algorithm

egg-herbie

Counts

272 → 272

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1224	2411
1	5001	2208

prune254.0ms

Filtered

272 candidates to 120 candidates (55.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	270	2	272
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	272	4	276

Merged error: 0b

Counts

276 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- y x))
0.6b	(* (cbrt (- y x)) (cbrt (- y x)))
2.8b	(/ (cbrt (- y x)) (/ t z))
4.4b	(* (* (cbrt (- y x)) (cbrt (- y x))) (/ (cbrt (- y x)) (/ t z)))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

551×	`add-sqr-sqrt`
496×	`times-frac`
384×	`*-un-lft-identity`
358×	`cbrt-div`
320×	`frac-times`
289×	`cbrt-prod`
281×	`add-cube-cbrt`
179×	`flip3--` `flip--`
136×	`associate-/r*`
133×	`associate-r`
87×	`associate-/l*`
86×	`add-cbrt-cube`
82×	`associate-*r/`
73×	`unswap-sqr`
64×	`associate-*l/`
51×	`associate-l`
49×	`cbrt-unprod` `distribute-lft-out--`
45×	`difference-of-squares`
36×	`cbrt-undiv`
32×	`add-exp-log`
30×	`swap-sqr`
28×	`div-inv`
20×	`associate-/l/`
18×	`associate-/r/`
16×	`pow1`
13×	`clear-num`
12×	`frac-2neg`
10×	`prod-exp`
9×	`div-exp`
8×	`*-commutative`
7×	`pow1/3`
5×	`pow-prod-down`
4×	`add-log-exp`
2×	`pow-sqr` `un-div-inv` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 708

Calls

4 calls:

3.0ms	(cbrt (- y x))
10.0ms	(* (cbrt (- y x)) (cbrt (- y x)))
11.0ms	(/ (cbrt (- y x)) (/ t z))
93.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (/ (cbrt (- y x)) (/ t z)))

series699.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(cbrt (- y x))
133.0ms	(* (cbrt (- y x)) (cbrt (- y x)))
350.0ms	(/ (cbrt (- y x)) (/ t z))
55.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (/ (cbrt (- y x)) (/ t z)))

simplify175.0ms

Algorithm

egg-herbie

Counts

720 → 720

Iterations

Useful iterations: 1 (68.0ms)

Iter	Nodes	Cost
0	3019	11131
1	5001	10616

prune1.5s

Filtered

720 candidates to 463 candidates (35.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	720	0	720
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	720	4	724

Merged error: 0b

Counts

724 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ z (/ t (- y x))))
0.0b	(/ t (- y x))
5.1b	(/ z (/ t (- y x)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
109×	`*-un-lft-identity`
107×	`add-sqr-sqrt`
73×	`add-cube-cbrt`
31×	`associate-/r*`
21×	`associate-/r/`
17×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/l*`
6×	`div-inv`
5×	`flip3--` `flip--` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `frac-2neg` `clear-num`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 161

Calls

3 calls:

24.0ms	(+ x (/ z (/ t (- y x))))
5.0ms	(/ t (- y x))
10.0ms	(/ z (/ t (- y x)))

series129.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(+ x (/ z (/ t (- y x))))
34.0ms	(/ t (- y x))
57.0ms	(/ z (/ t (- y x)))

simplify77.0ms

Algorithm

egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	543	1176
1	2410	1136
2	5001	1133

prune262.0ms

Filtered

170 candidates to 126 candidates (25.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	170	0	170
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	170	4	174

Merged error: 0b

Counts

174 → 4

regimes78.0ms

Accuracy

0% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	5
1	16	5
2	16	5

end0.0ms

sample563.0ms

Algorithm

intervals

Results

293.0ms

10647×

body

valid