Details

Time bar (total: 5.6s)

sample64.0ms

Algorithm
intervals
Results
41.0ms436×body80valid

simplify137.0ms

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: 19.9b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 9.0) y)
0.6b
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
6.7b
(* (* (* z 4.0) t) a)
16.4b
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite116.0ms

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))
21.0ms
(* (* (* z 4.0) t) a)
80.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series334.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (* x 9.0) y)
81.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
29.0ms
(* (* (* z 4.0) t) a)
204.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify77.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0491675
12345574
25002574

prune274.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.3b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
4.6b
(/ (* a t) c)
5.0b
(/ b (* z c))
9.8b
(/ (* 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))

series115.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* 9.0 (/ (* x y) (* z c)))
19.0ms
(/ (* a t) c)
20.0ms
(/ b (* z c))
33.0ms
(/ (* x y) (* z c))

simplify58.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0420503
12365384
25002384

prune309.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.7b

localize15.0ms

Local error

Found 4 expressions with local error:

4.1b
(/ (* z c) y)
4.6b
(/ (* a t) c)
5.0b
(/ b (* z c))
7.8b
(/ x (/ (* z c) y))

rewrite21.0ms

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
(/ (* z c) y)
3.0ms
(/ (* a t) c)
3.0ms
(/ b (* z c))
5.0ms
(/ x (/ (* z c) y))

series94.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ (* z c) y)
19.0ms
(/ (* a t) c)
20.0ms
(/ b (* z c))
31.0ms
(/ x (/ (* z c) y))

simplify58.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0457568
12237494
25001494

prune444.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

4.1b
(/ (* z c) y)
5.0b
(/ b (* z c))
6.9b
(* a (/ t c))
7.8b
(/ x (/ (* z c) y))

rewrite22.0ms

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:
3.0ms
(/ (* z c) y)
3.0ms
(/ b (* z c))
7.0ms
(* a (/ t c))
5.0ms
(/ x (/ (* z c) y))

series95.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ (* z c) y)
26.0ms
(/ b (* z c))
19.0ms
(* a (/ t c))
32.0ms
(/ x (/ (* z c) y))

simplify60.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0512616
12443542
25001542

prune427.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

regimes782.0ms

Accuracy

4.2% (9.7b remaining)

Error of 9.8b against oracle of 0.1b and baseline of 10.2b

bsearch420.0ms

Steps
ItersRangePoint
6
1.7979338106373497e+258
7.412014672994646e+258
6.6088607931443606e+258
9
5.911226646455888e-66
2.3182567596340517e-59
3.2788810442771336e-60
10
-2.8711938274861167e-272
-1.0626670999334674e-285
-1.7227370871146143e-280
8
-2.745543630885935e-81
-1.1161627300872242e-84
-3.02869394449276e-83

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
09056
19056

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.1s12819×body80valid