Details

Time bar (total: 4.9s)

sample43.0ms

Algorithm
intervals
Results
21.0ms415×body80valid

simplify125.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0379
1949
22879
37419
416629
541959
650019

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
0.2b
(* (* z 4.0) t)
8.6b
(* (* (* z 4.0) t) a)
18.4b
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite118.0ms

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) (* (* (* z 4.0) t) a))
6.0ms
(* (* z 4.0) t)
21.0ms
(* (* (* z 4.0) t) a)
82.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series313.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
16.0ms
(* (* z 4.0) t)
30.0ms
(* (* (* z 4.0) t) a)
191.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify68.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0446680
12162574
25001574

prune256.0ms

Filtered
89 candidates to 55 candidates (61.8%)
Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 7.9b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
4.9b
(/ (* a t) c)
4.9b
(/ b (* z c))
10.4b
(/ (* x y) (* z c))

rewrite23.0ms

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:
10.0ms
(* 9.0 (/ (* x y) (* z c)))
3.0ms
(/ (* a t) c)
3.0ms
(/ b (* z c))
4.0ms
(/ (* x y) (* z c))

series107.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* 9.0 (/ (* x y) (* z c)))
19.0ms
(/ (* a t) c)
20.0ms
(/ b (* z c))
30.0ms
(/ (* x y) (* z c))

simplify59.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0420503
12365384
25002384

prune293.0ms

Filtered
104 candidates to 62 candidates (59.6%)
Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

4.9b
(/ (* a t) c)
4.9b
(/ b (* z c))
5.6b
(/ x (/ (* z c) y))
6.0b
(/ (* z c) y)

rewrite20.0ms

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

series89.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ (* a t) c)
19.0ms
(/ b (* z c))
30.0ms
(/ x (/ (* z c) y))
19.0ms
(/ (* z c) y)

simplify51.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0457568
12237494
25001494

prune426.0ms

Filtered
123 candidates to 90 candidates (73.2%)
Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

4.9b
(/ b (* z c))
5.4b
(/ a (/ c t))
5.6b
(/ x (/ (* z c) y))
6.0b
(/ (* z c) y)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
66×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
28×add-exp-log add-cbrt-cube
24×associate-/r*
12×cbrt-undiv div-exp div-inv
10×associate-/l*
4×pow1 frac-2neg clear-num add-log-exp
3×prod-exp cbrt-unprod
2×associate-/r/
Counts
4 → 160
Calls
4 calls:
3.0ms
(/ b (* z c))
5.0ms
(/ a (/ c t))
4.0ms
(/ x (/ (* z c) y))
3.0ms
(/ (* z c) y)

series94.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ b (* z c))
20.0ms
(/ a (/ c t))
36.0ms
(/ x (/ (* z c) y))
19.0ms
(/ (* z c) y)

simplify65.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0670935
13037856
25002856

prune553.0ms

Filtered
172 candidates to 132 candidates (76.7%)
Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

regimes817.0ms

Accuracy

2.8% (9.5b remaining)

Error of 9.6b against oracle of 0.1b and baseline of 9.8b

bsearch186.0ms

Steps
ItersRangePoint
7
5.123737396959173e-234
4.253527496569328e-232
4.174239286134535e-232
8
-4.1514233963836876e-99
-3.716023157795811e-103
-4.055195024930374e-99

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05634
15634

end0.0ms

sample1.1s

Algorithm
intervals
Results
604.0ms12825×body80valid