Details

Time bar (total: 6.0s)

sample46.0ms

Algorithm
intervals
Results
17.0ms401×body80valid

simplify132.0ms

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: 21.9b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* z 4.0) t)
0.7b
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
4.6b
(* (* (* z 4.0) t) a)
18.9b
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite278.0ms

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:
17.0ms
(* (* z 4.0) t)
19.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
52.0ms
(* (* (* z 4.0) t) a)
188.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series306.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* (* z 4.0) t)
78.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
26.0ms
(* (* (* z 4.0) t) a)
185.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify69.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0446680
12162574
25001574

prune262.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.7b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 9.0 (/ (* x y) (* z c)))
6.3b
(/ (* a t) c)
8.1b
(/ b (* z c))
9.4b
(/ (* x y) (* z c))

rewrite61.0ms

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:
26.0ms
(* 9.0 (/ (* x y) (* z c)))
12.0ms
(/ (* a t) c)
8.0ms
(/ b (* z c))
12.0ms
(/ (* x y) (* z c))

series104.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* 9.0 (/ (* x y) (* z c)))
18.0ms
(/ (* a t) c)
22.0ms
(/ b (* z c))
26.0ms
(/ (* x y) (* z c))

simplify58.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0420503
12365384
25002384

prune304.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.3b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt c)
5.9b
(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
8.1b
(/ b (* z c))
9.4b
(/ (* x y) (* z c))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
42×add-exp-log
38×add-sqr-sqrt
35×add-cbrt-cube
32×times-frac
22×add-cube-cbrt *-un-lft-identity associate-*r*
14×cbrt-prod
13×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*l*
6×pow1 unswap-sqr
4×div-inv associate-/l* add-log-exp
2×frac-2neg clear-num associate-/r*
1×frac-times pow1/3 associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 112
Calls
4 calls:
1.0ms
(cbrt c)
45.0ms
(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
7.0ms
(/ b (* z c))
12.0ms
(/ (* x y) (* z c))

series272.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt c)
45.0ms
(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
22.0ms
(/ b (* z c))
26.0ms
(/ (* x y) (* z c))

simplify76.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
0635852
13415669
25002634

prune490.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

4.2b
(/ (* z c) y)
5.5b
(/ x (/ (* z c) y))
6.3b
(/ (* a t) c)
8.1b
(/ b (* z c))

rewrite44.0ms

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)
10.0ms
(/ x (/ (* z c) y))
10.0ms
(/ (* a t) c)
11.0ms
(/ b (* z c))

series90.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ (* z c) y)
30.0ms
(/ x (/ (* z c) y))
22.0ms
(/ (* a t) c)
20.0ms
(/ b (* z c))

simplify55.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0457568
12237494
25001494

prune393.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

regimes913.0ms

Accuracy

18.4% (9.5b remaining)

Error of 9.6b against oracle of 0.1b and baseline of 11.7b

bsearch588.0ms

Steps
ItersRangePoint
7
9.054553684726993e+229
1.8208179242755572e+231
1.151269571816795e+231
9
1.279187495833276e+199
1.2063489593004468e+207
2.6783770738007185e+199
5
5.951618836001757e+164
2.065417525817104e+165
2.01275689813107e+165
4
2.3404894494403593e-20
4.2603194374001126e-20
2.590941352379923e-20
9
7.1266783313430595e-152
1.9527224968678938e-144
6.236497692806451e-151
11
5.36932544126004e-288
3.5251500652965204e-261
6.256004526795307e-263
8
-1.0195631346029393e+72
-2.657748671298784e+68
-2.3219786821033522e+70

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
098102
198102

end0.0ms

sample1.3s

Algorithm
intervals
Results
584.0ms12776×body80valid