Details

Time bar (total: 4.6s)

sample43.0ms

Algorithm
intervals
Results
16.0ms404×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: 17.4b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 9.0) y)
0.8b
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
3.2b
(* (* (* z 4.0) t) a)
15.4b
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite266.0ms

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:
16.0ms
(* (* x 9.0) y)
18.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
51.0ms
(* (* (* z 4.0) t) a)
179.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series293.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* (* x 9.0) y)
71.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
25.0ms
(* (* (* z 4.0) t) a)
179.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify72.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0491675
12345574
25002574

prune249.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.2b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
4.3b
(/ (* a t) c)
6.0b
(/ b (* z c))
8.3b
(/ (* x y) (* z c))

rewrite58.0ms

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:
25.0ms
(* 9.0 (/ (* x y) (* z c)))
9.0ms
(/ (* a t) c)
7.0ms
(/ b (* z c))
12.0ms
(/ (* x y) (* z c))

series98.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* 9.0 (/ (* x y) (* z c)))
17.0ms
(/ (* a t) c)
18.0ms
(/ b (* z c))
25.0ms
(/ (* x y) (* z c))

simplify55.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0420503
12365384
25002384

prune266.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.3b

localize14.0ms

Local error

Found 4 expressions with local error:

3.7b
(/ (* z c) y)
4.3b
(/ (* a t) c)
5.8b
(/ x (/ (* z c) y))
6.0b
(/ b (* z c))

rewrite41.0ms

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:
9.0ms
(/ (* z c) y)
11.0ms
(/ (* a t) c)
9.0ms
(/ x (/ (* z c) y))
7.0ms
(/ b (* z c))

series84.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ (* z c) y)
17.0ms
(/ (* a t) c)
28.0ms
(/ x (/ (* z c) y))
18.0ms
(/ b (* z c))

simplify51.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0457568
12237494
25001494

prune383.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

3.7b
(/ (* z c) y)
5.6b
(* a (/ t c))
5.8b
(/ x (/ (* z c) y))
6.0b
(/ b (* z c))

rewrite45.0ms

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:
9.0ms
(/ (* z c) y)
13.0ms
(* a (/ t c))
12.0ms
(/ x (/ (* z c) y))
8.0ms
(/ b (* z c))

series85.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/ (* z c) y)
18.0ms
(* a (/ t c))
31.0ms
(/ x (/ (* z c) y))
19.0ms
(/ b (* z c))

simplify61.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0512616
12443542
25001542

prune387.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes692.0ms

Accuracy

-7.2% (10.3b remaining)

Error of 10.5b against oracle of 0.3b and baseline of 9.8b

bsearch1.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
09164
19164

end0.0ms

sample1.2s

Algorithm
intervals
Results
535.0ms12657×body80valid