Details

Time bar (total: 4.7s)

sample46.0ms

Algorithm
intervals
Results
24.0ms423×body80valid

simplify128.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0379
1949
22879
37419
416629
541959
650019

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.3b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 9.0) y)
0.3b
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
8.6b
(* (* (* z 4.0) t) a)
16.1b
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite28.0ms

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:
5.0ms
(* (* x 9.0) y)
4.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
7.0ms
(* (* (* z 4.0) t) a)
10.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series325.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (* x 9.0) y)
78.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
28.0ms
(* (* (* z 4.0) t) a)
200.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify69.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0491675
12345574
25002574

prune262.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.9b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
4.3b
(/ (* a t) c)
4.8b
(/ b (* z c))
8.9b
(/ (* 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:
8.0ms
(* 9.0 (/ (* x y) (* z c)))
4.0ms
(/ (* a t) c)
4.0ms
(/ b (* z c))
6.0ms
(/ (* x y) (* z c))

series114.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* 9.0 (/ (* x y) (* z c)))
18.0ms
(/ (* a t) c)
20.0ms
(/ b (* z c))
32.0ms
(/ (* x y) (* z c))

simplify57.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0420503
12365384
25002384

prune301.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

4.3b
(/ (* a t) c)
4.3b
(/ (* z c) y)
4.8b
(/ b (* z c))
7.7b
(/ x (/ (* z c) y))

rewrite27.0ms

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:
4.0ms
(/ (* a t) c)
5.0ms
(/ (* z c) y)
9.0ms
(/ b (* z c))
6.0ms
(/ x (/ (* z c) y))

series95.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ (* a t) c)
19.0ms
(/ (* z c) y)
20.0ms
(/ b (* z c))
32.0ms
(/ x (/ (* z c) y))

simplify52.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0457568
12237494
25001494

prune425.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

4.3b
(/ (* z c) y)
4.5b
(* a (/ t c))
4.8b
(/ b (* z c))
7.7b
(/ x (/ (* z c) y))

rewrite25.0ms

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:
4.0ms
(/ (* z c) y)
6.0ms
(* a (/ t c))
4.0ms
(/ b (* z c))
6.0ms
(/ x (/ (* z c) y))

series94.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ (* z c) y)
24.0ms
(* a (/ t c))
19.0ms
(/ b (* z c))
31.0ms
(/ x (/ (* z c) y))

simplify59.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0512616
12443542
25001542

prune412.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes956.0ms

Accuracy

11.4% (8.8b remaining)

Error of 8.9b against oracle of 0.1b and baseline of 10.0b

bsearch2.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0101101
1101101

end0.0ms

sample1.1s

Algorithm
intervals
Results
636.0ms12864×body80valid