Details

Time bar (total: 5.1s)

sample39.0ms

Algorithm
intervals
Results
18.0ms393×body80valid

simplify130.0ms

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: 19.4b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* z 4.0) t)
0.9b
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
5.6b
(* (* (* z 4.0) t) a)
16.2b
(/ (+ (- (* (* 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
(* (* z 4.0) t)
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))

series338.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* (* z 4.0) t)
82.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
28.0ms
(* (* (* z 4.0) t) a)
206.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify70.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0446680
12162574
25001574

prune249.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.5b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
4.7b
(/ b (* z c))
6.1b
(/ (* a t) c)
10.6b
(/ (* x y) (* z c))

rewrite25.0ms

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

series113.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* 9.0 (/ (* x y) (* z c)))
25.0ms
(/ b (* z c))
19.0ms
(/ (* a t) c)
28.0ms
(/ (* x y) (* z c))

simplify61.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0420503
12365384
25002384

prune301.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.3b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
3.7b
(* a (/ t c))
4.7b
(/ b (* z c))
10.6b
(/ (* x y) (* z c))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
44×add-exp-log add-cbrt-cube
23×add-sqr-sqrt
18×associate-*r*
16×add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
15×times-frac
11×cbrt-undiv div-exp
8×pow1
6×associate-*l*
4×div-inv associate-/l* add-log-exp
3×unswap-sqr
2×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* *-commutative
Counts
4 → 103
Calls
4 calls:
8.0ms
(* 9.0 (/ (* x y) (* z c)))
6.0ms
(* a (/ t c))
4.0ms
(/ b (* z c))
6.0ms
(/ (* x y) (* z c))

series108.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* 9.0 (/ (* x y) (* z c)))
19.0ms
(* a (/ t c))
23.0ms
(/ b (* z c))
27.0ms
(/ (* x y) (* z c))

simplify61.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0475551
12583432
25003432

prune336.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

3.7b
(* a (/ t c))
4.4b
(/ x (/ (* z c) y))
4.7b
(/ b (* z c))
6.8b
(/ (* 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:
6.0ms
(* a (/ t c))
6.0ms
(/ x (/ (* z c) y))
4.0ms
(/ b (* z c))
5.0ms
(/ (* z c) y)

series93.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* a (/ t c))
35.0ms
(/ x (/ (* z c) y))
19.0ms
(/ b (* z c))
20.0ms
(/ (* z c) y)

simplify55.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0512616
12443542
25001542

prune409.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

regimes867.0ms

Accuracy

1.7% (10.5b remaining)

Error of 10.6b against oracle of 0.1b and baseline of 10.8b

bsearch509.0ms

Steps
ItersRangePoint
10
481.02071266823316
499165917193769.8
67868620829.54296
9
2.5924481880622366e-286
1.3960533093095066e-277
2.8900656986201915e-286
8
-1.2351596800153586e-246
-8.50210467525627e-250
-2.1267767531027279e-249
7
-2.3734984659153478e+126
-3.5353649639246424e+124
-1.731646499562622e+125

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08654
18654

end0.0ms

sample1.2s

Algorithm
intervals
Results
634.0ms12824×body80valid