Details

Time bar (total: 4.9s)

sample39.0ms

Algorithm
intervals
Results
18.0ms392×body80valid

simplify128.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0379
1949
22879
37419
416629
541959
650019

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.5b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 9.0) y)
0.5b
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
7.6b
(* (* (* z 4.0) t) a)
18.1b
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite125.0ms

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
(* (* x 9.0) y)
7.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
23.0ms
(* (* (* z 4.0) t) a)
87.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series323.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (* x 9.0) y)
81.0ms
(- (* (* 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))

simplify77.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0491675
12345574
25002574

prune272.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.4b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
4.1b
(/ (* a t) c)
5.0b
(/ b (* z c))
10.5b
(/ (* x y) (* z c))

rewrite24.0ms

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:
11.0ms
(* 9.0 (/ (* x y) (* z c)))
3.0ms
(/ (* a t) c)
3.0ms
(/ b (* z c))
4.0ms
(/ (* x y) (* z c))

series109.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* 9.0 (/ (* x y) (* z c)))
24.0ms
(/ (* a t) c)
19.0ms
(/ b (* z c))
27.0ms
(/ (* x y) (* z c))

simplify54.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0420503
12365384
25002384

prune477.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.3b

localize14.0ms

Local error

Found 4 expressions with local error:

4.1b
(/ (* a t) c)
5.0b
(/ x (/ (* z c) y))
5.0b
(/ b (* z c))
6.9b
(/ (* z c) y)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
28×add-exp-log add-cbrt-cube
26×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
14×associate-/r*
11×cbrt-undiv div-exp
8×div-inv associate-/l*
4×pow1 frac-2neg prod-exp clear-num cbrt-unprod add-log-exp
1×associate-/r/
Counts
4 → 111
Calls
4 calls:
3.0ms
(/ (* a t) c)
5.0ms
(/ x (/ (* z c) y))
3.0ms
(/ b (* z c))
3.0ms
(/ (* z c) y)

series89.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ (* a t) c)
33.0ms
(/ x (/ (* z c) y))
19.0ms
(/ b (* z c))
19.0ms
(/ (* z c) y)

simplify51.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0457568
12237494
25001494

prune412.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 4 expressions with local error:

3.5b
(* (/ z (* (cbrt y) (cbrt y))) (/ c (cbrt y)))
4.1b
(/ (* a t) c)
5.0b
(/ x (* (/ z (* (cbrt y) (cbrt y))) (/ c (cbrt y))))
5.0b
(/ b (* z c))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
64×add-exp-log
50×add-cbrt-cube
41×add-sqr-sqrt
37×times-frac
25×cbrt-undiv add-cube-cbrt *-un-lft-identity div-exp
22×associate-*r*
18×prod-exp cbrt-unprod
11×cbrt-prod
7×associate-*l* associate-/l*
6×pow1 unswap-sqr
5×associate-/r* div-inv
4×add-log-exp
3×frac-2neg clear-num associate-/r/
2×frac-times associate-*r/ associate-*l/
1×pow-prod-down *-commutative
Counts
4 → 135
Calls
4 calls:
27.0ms
(* (/ z (* (cbrt y) (cbrt y))) (/ c (cbrt y)))
3.0ms
(/ (* a t) c)
16.0ms
(/ x (* (/ z (* (cbrt y) (cbrt y))) (/ c (cbrt y))))
3.0ms
(/ b (* z c))

series142.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (/ z (* (cbrt y) (cbrt y))) (/ c (cbrt y)))
18.0ms
(/ (* a t) c)
57.0ms
(/ x (* (/ z (* (cbrt y) (cbrt y))) (/ c (cbrt y))))
20.0ms
(/ b (* z c))

simplify83.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
07351181
13687973
25002934

prune472.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes679.0ms

Accuracy

34% (7.5b remaining)

Error of 7.9b against oracle of 0.4b and baseline of 11.7b

bsearch146.0ms

Steps
ItersRangePoint
9
0.0031797975273667382
4624563.061041213
14253.616584509742
5
-6.177562388607713e-106
-2.0123630512349351e-106
-5.856543079107494e-106

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05628
15628

end0.0ms

sample1.1s

Algorithm
intervals
Results
603.0ms12780×body80valid