Details

Time bar (total: 5.3s)

sample42.0ms

Algorithm
intervals
Results
19.0ms415×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: 21.3b

localize18.0ms

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))
5.3b
(* (* (* z 4.0) t) a)
18.6b
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite121.0ms

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:
7.0ms
(* (* x 9.0) y)
6.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
21.0ms
(* (* (* z 4.0) t) a)
85.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series337.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (* x 9.0) y)
77.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
33.0ms
(* (* (* z 4.0) t) a)
202.0ms
(/ (+ (- (* (* 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

prune266.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.3b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 9.0 (/ (* x y) (* z c)))
3.6b
(/ (* a t) c)
5.6b
(/ b (* z c))
11.2b
(/ (* 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))

series111.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* 9.0 (/ (* x y) (* z c)))
19.0ms
(/ (* a t) c)
24.0ms
(/ b (* z c))
28.0ms
(/ (* x y) (* z c))

simplify55.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0420503
12365384
25002384

prune298.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 9.0 (/ x z))
3.6b
(/ (* a t) c)
5.6b
(/ b (* z c))
8.4b
(* (* 9.0 (/ x z)) (/ y c))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log add-cbrt-cube
28×add-sqr-sqrt
26×associate-*r*
25×times-frac
23×add-cube-cbrt *-un-lft-identity
14×prod-exp cbrt-unprod
11×pow1
10×cbrt-undiv div-exp
4×associate-*r/ associate-*l* pow-prod-down associate-/r* div-inv associate-/l* add-log-exp
2×frac-2neg clear-num *-commutative unswap-sqr
1×frac-times associate-*l/
Counts
4 → 113
Calls
4 calls:
7.0ms
(* 9.0 (/ x z))
3.0ms
(/ (* a t) c)
3.0ms
(/ b (* z c))
16.0ms
(* (* 9.0 (/ x z)) (/ y c))

series107.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* 9.0 (/ x z))
19.0ms
(/ (* a t) c)
20.0ms
(/ b (* z c))
46.0ms
(* (* 9.0 (/ x z)) (/ y c))

simplify68.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0585572
13128464
25001464

prune387.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

2.6b
(/ (* 9.0 (/ x z)) (* (cbrt c) (cbrt c)))
3.6b
(/ (* a t) c)
5.6b
(/ b (* z c))
5.7b
(* (/ (* 9.0 (/ x z)) (* (cbrt c) (cbrt c))) (/ y (cbrt c)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
100×add-exp-log
75×add-cbrt-cube
37×prod-exp cbrt-unprod
35×cbrt-undiv div-exp
30×add-sqr-sqrt
28×times-frac
22×add-cube-cbrt *-un-lft-identity associate-*r*
10×cbrt-prod
6×pow1
5×associate-*l* associate-/r* div-inv associate-/l*
4×add-log-exp
3×frac-2neg clear-num unswap-sqr
2×associate-*r/
1×frac-times pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
4 → 138
Calls
4 calls:
10.0ms
(/ (* 9.0 (/ x z)) (* (cbrt c) (cbrt c)))
3.0ms
(/ (* a t) c)
3.0ms
(/ b (* z c))
33.0ms
(* (/ (* 9.0 (/ x z)) (* (cbrt c) (cbrt c))) (/ y (cbrt c)))

series253.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(/ (* 9.0 (/ x z)) (* (cbrt c) (cbrt c)))
19.0ms
(/ (* a t) c)
20.0ms
(/ b (* z c))
85.0ms
(* (/ (* 9.0 (/ x z)) (* (cbrt c) (cbrt c))) (/ y (cbrt c)))

simplify111.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
08341371
147241065
250021033

prune484.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes925.0ms

Accuracy

28.5% (8.4b remaining)

Error of 8.8b against oracle of 0.4b and baseline of 12.1b

bsearch191.0ms

Steps
ItersRangePoint
8
3.2027828529810353e+30
1.64187750751027e+34
2.542573478132713e+33
10
-1.6859475695322443e-79
-3.2932944353235586e-93
-1.022666725823038e-79

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05939
15939

end0.0ms

sample1.1s

Algorithm
intervals
Results
621.0ms12950×body80valid