Details

Time bar (total: 4.8s)

sample40.0ms

Algorithm
intervals
Results
18.0ms402×body80valid

simplify131.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0379
1949
22879
37419
416629
541959
650019

prune5.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 21.4b

Counts
2 → 1

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 9.0) y)
0.5b
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
6.1b
(* (* (* z 4.0) t) a)
17.9b
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite45.0ms

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:
8.0ms
(* (* x 9.0) y)
8.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
10.0ms
(* (* (* z 4.0) t) a)
15.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series438.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (* x 9.0) y)
101.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
41.0ms
(* (* (* z 4.0) t) a)
267.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify103.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
0491675
12345574
25002574

prune320.0ms

Filtered
89 candidates to 57 candidates (64.0%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New781189
Fresh000
Picked101
Done000
Total791190

Merged error: 5.0b

Counts
90 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
5.5b
(/ (* a t) c)
5.7b
(/ b (* z c))
7.1b
(/ (* 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:
7.0ms
(* 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)))
20.0ms
(/ (* a t) c)
19.0ms
(/ b (* z c))
31.0ms
(/ (* x y) (* z c))

simplify60.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0420503
12365384
25002384

prune257.0ms

Filtered
104 candidates to 62 candidates (59.6%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New977104
Fresh3710
Picked101
Done000
Total10114115

Merged error: 0.3b

Counts
115 → 14

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
4.8b
(* a (/ t c))
5.7b
(/ b (* z c))
7.1b
(/ (* x y) (* z c))

rewrite30.0ms

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:
7.0ms
(* 9.0 (/ (* x y) (* z c)))
9.0ms
(* a (/ t c))
4.0ms
(/ b (* z c))
6.0ms
(/ (* x y) (* z c))

series107.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* 9.0 (/ (* x y) (* z c)))
18.0ms
(* a (/ t c))
19.0ms
(/ b (* z c))
27.0ms
(/ (* x y) (* z c))

simplify62.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0475551
12583432
25003432

prune264.0ms

Filtered
115 candidates to 68 candidates (59.1%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1141115
Fresh21113
Picked101
Done000
Total11712129

Merged error: 0.0b

Counts
129 → 12

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
5.0b
(/ a (/ c t))
5.7b
(/ b (* z c))
7.1b
(/ (* x y) (* z c))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
52×add-sqr-sqrt
50×add-cube-cbrt *-un-lft-identity
44×add-exp-log add-cbrt-cube
15×associate-/r*
14×prod-exp cbrt-unprod
13×cbrt-undiv div-exp
8×div-inv
7×associate-/l*
6×pow1
5×associate-*r*
4×add-log-exp
3×frac-2neg associate-*l* clear-num
1×associate-*r/ pow-prod-down associate-/r/ *-commutative unswap-sqr
Counts
4 → 141
Calls
4 calls:
7.0ms
(* 9.0 (/ (* x y) (* z c)))
5.0ms
(/ a (/ c t))
4.0ms
(/ b (* z c))
6.0ms
(/ (* x y) (* z c))

series109.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* 9.0 (/ (* x y) (* z c)))
20.0ms
(/ a (/ c t))
23.0ms
(/ b (* z c))
27.0ms
(/ (* x y) (* z c))

simplify79.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
0634870
13152746
25002746

prune386.0ms

Filtered
153 candidates to 104 candidates (68.0%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1512153
Fresh11011
Picked101
Done000
Total15312165

Merged error: 0.0b

Counts
165 → 12

regimes747.0ms

Accuracy

-3.4% (9.7b remaining)

Error of 10.1b against oracle of 0.3b and baseline of 9.7b

bsearch311.0ms

Steps
ItersRangePoint
9
3.080231520964872e+58
5.497486728191094e+64
1.027139898482498e+62
7
6.3264582476281006e-220
1.2249294309512004e-217
1.122115902546349e-219
7
9.179042134309145e-303
1.8080069687577544e-300
1.3610610500998006e-300
10
-1.807372375833211e+143
-3.938289437522521e+126
-3.2733188982391056e+127

simplify9.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
09055
19055

end0.0ms

sample1.1s

Algorithm
intervals
Results
613.0ms12935×body80valid