Details

sample44.0ms

Algorithm

intervals

Results

21.0ms

393×

body

valid

simplify129.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	37	9
1	94	9
2	287	9
3	741	9
4	1662	9
5	4195	9
6	5001	9

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.4b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* z 4.0) t)
0.9b	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
5.6b	(* (* (* z 4.0) t) a)
16.2b	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
18×	`pow1`
12×	`*-un-lft-identity`
10×	`prod-exp` `cbrt-unprod`
9×	`pow-prod-down`
8×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`associate-r` `add-log-exp`
4×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `associate-l` `*-commutative` `associate-/l/` `distribute-lft-out`
1×	`associate-+l-` `sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `div-sub` `clear-num` `associate-/r*` `flip--` `flip-+` `div-inv`

Counts

4 → 77

Calls

4 calls:

6.0ms	(* (* z 4.0) t)
6.0ms	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
20.0ms	(* (* (* z 4.0) t) a)
79.0ms	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series316.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* (* z 4.0) t)
77.0ms	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
28.0ms	(* (* (* z 4.0) t) a)
194.0ms	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify67.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	446	680
1	2162	574
2	5001	574

prune248.0ms

Filtered

89 candidates to 55 candidates (61.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
4.7b	(/ b (* z c))
6.1b	(/ (* a t) c)
10.6b	(/ (* x y) (* z c))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log` `add-cbrt-cube`
15×	`prod-exp` `cbrt-unprod`
12×	`cbrt-undiv` `add-sqr-sqrt` `div-exp`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`times-frac`
6×	`pow1`
5×	`associate-r` `associate-/r` `associate-/l`
4×	`div-inv` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
1×	`associate-r/` `pow-prod-down` `-commutative` `unswap-sqr`

Counts

4 → 92

Calls

4 calls:

10.0ms	(* 9.0 (/ (* x y) (* z c)))
3.0ms	(/ b (* z c))
3.0ms	(/ (* a t) c)
4.0ms	(/ (* x y) (* z c))

series105.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* 9.0 (/ (* x y) (* z c)))
19.0ms	(/ b (* z c))
21.0ms	(/ (* a t) c)
26.0ms	(/ (* x y) (* z c))

simplify60.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	420	503
1	2365	384
2	5002	384

prune291.0ms

Filtered

104 candidates to 62 candidates (59.6%)

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
3.7b	(* a (/ t c))
4.7b	(/ b (* z c))
10.6b	(/ (* x y) (* z c))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log` `add-cbrt-cube`
23×	`add-sqr-sqrt`
18×	`associate-r`
16×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
15×	`times-frac`
11×	`cbrt-undiv` `div-exp`
8×	`pow1`
6×	`associate-l`
4×	`div-inv` `associate-/l*` `add-log-exp`
3×	`unswap-sqr`
2×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `associate-/r` `*-commutative`

Counts

4 → 103

Calls

4 calls:

10.0ms	(* 9.0 (/ (* x y) (* z c)))
7.0ms	(* a (/ t c))
3.0ms	(/ b (* z c))
4.0ms	(/ (* x y) (* z c))

series106.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* 9.0 (/ (* x y) (* z c)))
18.0ms	(* a (/ t c))
19.0ms	(/ b (* z c))
26.0ms	(/ (* x y) (* z c))

simplify61.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	475	551
1	2583	432
2	5003	432

prune324.0ms

Filtered

115 candidates to 68 candidates (59.1%)

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

3.7b	(* a (/ t c))
4.4b	(/ x (/ (* z c) y))
4.7b	(/ b (* z c))
6.8b	(/ (* z c) y)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

49×	`times-frac`
37×	`add-sqr-sqrt`
32×	`add-cube-cbrt` `*-un-lft-identity`
28×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
11×	`associate-/r*`
10×	`cbrt-undiv` `div-exp`
8×	`div-inv`
7×	`associate-/l*`
6×	`pow1`
5×	`prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`unswap-sqr`
1×	`associate-r/` `pow-prod-down` `associate-/r/` `-commutative`

Counts

4 → 122

Calls

4 calls:

7.0ms	(* a (/ t c))
4.0ms	(/ x (/ (* z c) y))
3.0ms	(/ b (* z c))
3.0ms	(/ (* z c) y)

series90.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* a (/ t c))
30.0ms	(/ x (/ (* z c) y))
19.0ms	(/ b (* z c))
22.0ms	(/ (* z c) y)

simplify55.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	512	616
1	2443	542
2	5001	542

prune406.0ms

Filtered

134 candidates to 97 candidates (72.4%)

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

regimes864.0ms

Accuracy

21% (8.5b remaining)

Error of 8.5b against oracle of 0.1b and baseline of 10.8b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	37
1	62	37

end0.0ms

sample1.2s

Algorithm

intervals

Results

639.0ms

12824×

body

valid