Details

Time bar (total: 4.7s)

sample43.0ms

Algorithm
intervals
Results
21.0ms399×body80valid

simplify129.0ms

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 18.4b

Counts
2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b)
0.2b
(* (* x 9.0) y)
5.1b
(* (* (* z 4.0) t) a)
15.5b
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
18×pow1
14×*-un-lft-identity
10×prod-exp cbrt-unprod
9×pow-prod-down add-log-exp
8×add-sqr-sqrt add-cube-cbrt
6×associate-*r*
4×times-frac associate-/l*
3×distribute-lft-out
2×cbrt-undiv associate-+l- associate-+l+ flip3-+ div-exp associate-*l* sum-log *-commutative flip-+ associate-/l/
1×+-commutative sub-neg frac-2neg diff-log div-sub clear-num associate-/r* div-inv
Counts
4 → 81
Calls
4 calls:
6.0ms
(+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b)
5.0ms
(* (* x 9.0) y)
7.0ms
(* (* (* z 4.0) t) a)
10.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series381.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b)
19.0ms
(* (* x 9.0) y)
33.0ms
(* (* (* z 4.0) t) a)
201.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify62.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0481731
12190614
25001614

prune435.0ms

Filtered
93 candidates to 59 candidates (63.4%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New811293
Fresh000
Picked101
Done000
Total821294

Merged error: 7.1b

Counts
94 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
4.1b
(/ b (* z c))
7.1b
(/ (* a t) c)
7.5b
(/ (* 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))
5.0ms
(/ (* a t) c)
6.0ms
(/ (* x y) (* z c))

series108.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* 9.0 (/ (* x y) (* z c)))
19.0ms
(/ b (* z c))
22.0ms
(/ (* a t) c)
27.0ms
(/ (* x y) (* z c))

simplify59.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0420503
12365384
25002384

prune263.0ms

Filtered
104 candidates to 62 candidates (59.6%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New968104
Fresh3811
Picked101
Done000
Total10016116

Merged error: 0.3b

Counts
116 → 16

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
4.1b
(/ b (* z c))
4.4b
(/ a (/ c t))
7.5b
(/ (* x y) (* z c))

rewrite31.0ms

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

series112.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* 9.0 (/ (* x y) (* z c)))
21.0ms
(/ b (* z c))
21.0ms
(/ a (/ c t))
27.0ms
(/ (* x y) (* z c))

simplify76.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
0634870
13152746
25001746

prune419.0ms

Filtered
153 candidates to 104 candidates (68.0%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1512153
Fresh41115
Picked101
Done000
Total15613169

Merged error: 0.0b

Counts
169 → 13

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
4.0b
(* (/ a c) t)
4.1b
(/ b (* z c))
7.5b
(/ (* x y) (* z c))

rewrite27.0ms

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

series115.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* 9.0 (/ (* x y) (* z c)))
20.0ms
(* (/ a c) t)
20.0ms
(/ b (* z c))
31.0ms
(/ (* x y) (* z c))

simplify63.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0462546
12384426
25002426

prune236.0ms

Filtered
115 candidates to 69 candidates (60.0%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1150115
Fresh01212
Picked011
Done000
Total11513128

Merged error: 0.0b

Counts
128 → 13

regimes842.0ms

Accuracy

33.4% (7.2b remaining)

Error of 7.5b against oracle of 0.3b and baseline of 11.1b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06670
16670

end0.0ms

sample1.2s

Algorithm
intervals
Results
720.0ms12817×body80valid

Profiling

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