Details

Time bar (total: 5.1s)

sample60.0ms

Algorithm
intervals
Results
23.0ms410×body80valid

simplify127.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0379
1949
22879
37419
416629
541959
650019

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 21.7b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 9.0) y)
0.2b
(* (* z 4.0) t)
6.5b
(* (* (* z 4.0) t) a)
17.6b
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
23×pow1
13×*-un-lft-identity prod-exp cbrt-unprod
12×pow-prod-down
9×add-sqr-sqrt add-cube-cbrt associate-*r*
4×times-frac associate-/l* add-log-exp
3×associate-*l* *-commutative
2×cbrt-undiv div-exp associate-/l/ distribute-lft-out
1×associate-+l- frac-2neg flip3-+ div-sub clear-num associate-/r* flip-+ div-inv
Counts
4 → 83
Calls
4 calls:
5.0ms
(* (* x 9.0) y)
5.0ms
(* (* z 4.0) t)
8.0ms
(* (* (* z 4.0) t) a)
10.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series62.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* x 9.0) y)
3.0ms
(* (* z 4.0) t)
6.0ms
(* (* (* z 4.0) t) a)
49.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify61.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0465619
12261504
25001504

prune192.0ms

Filtered
57 candidates to 95 candidates (-66.7%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New801595
Fresh000
Picked101
Done000
Total811596

Merged error: 8.1b

Counts
96 → 15

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
4.7b
(/ b (* z c))
5.9b
(/ (* a t) c)
9.4b
(/ (* 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:
7.0ms
(* 9.0 (/ (* x y) (* z c)))
4.0ms
(/ b (* z c))
4.0ms
(/ (* a t) c)
5.0ms
(/ (* x y) (* z c))

series26.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* 9.0 (/ (* x y) (* z c)))
4.0ms
(/ b (* z c))
5.0ms
(/ (* a t) c)
7.0ms
(/ (* x y) (* z c))

simplify54.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0420503
12365384
25002384

prune168.0ms

Filtered
62 candidates to 104 candidates (-67.7%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New977104
Fresh7714
Picked101
Done000
Total10514119

Merged error: 0.0b

Counts
119 → 14

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt c)
4.3b
(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
4.7b
(/ b (* z c))
9.4b
(/ (* x y) (* z c))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
42×add-exp-log
38×add-sqr-sqrt
35×add-cbrt-cube
32×times-frac
22×add-cube-cbrt *-un-lft-identity associate-*r*
14×cbrt-prod
13×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*l*
6×pow1 unswap-sqr
4×div-inv associate-/l* add-log-exp
2×frac-2neg clear-num associate-/r*
1×frac-times pow1/3 associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 112
Calls
4 calls:
1.0ms
(cbrt c)
14.0ms
(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
4.0ms
(/ b (* z c))
6.0ms
(/ (* x y) (* z c))

series46.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt c)
12.0ms
(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
5.0ms
(/ b (* z c))
7.0ms
(/ (* x y) (* z c))

simplify72.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0655864
13304727
25001688

prune178.0ms

Filtered
87 candidates to 124 candidates (-42.5%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New1240124
Fresh01313
Picked011
Done000
Total12414138

Merged error: 0.0b

Counts
138 → 14

localize15.0ms

Local error

Found 4 expressions with local error:

4.7b
(/ b (* z c))
5.2b
(/ x (/ (* z c) y))
5.4b
(/ (* z c) y)
5.9b
(/ (* a t) c)

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

series24.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(/ b (* z c))
8.0ms
(/ x (/ (* z c) y))
4.0ms
(/ (* z c) y)
7.0ms
(/ (* a t) c)

simplify49.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0457568
12237494
25001494

prune110.0ms

Filtered
90 candidates to 123 candidates (-36.7%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New1212123
Fresh01212
Picked101
Done011
Total12215137

Merged error: 0.0b

Counts
137 → 15

regimes2.1s

Accuracy

33.9% (6.9b remaining)

Error of 7.4b against oracle of 0.6b and baseline of 10.9b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07775
17775

end0.0ms

sample1.6s

Algorithm
intervals
Results
718.0ms12807×body80valid

Profiling

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