Details

Time bar (total: 9.5s)

sample2.4s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 56.25%

Results
26.0ms397×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: 20.7b

Counts
2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
0.4b
(* (* x 9.0) y)
5.8b
(* (* (* z 4.0) t) a)
17.5b
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite27.0ms

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:
4.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
5.0ms
(* (* x 9.0) y)
6.0ms
(* (* (* z 4.0) t) a)
10.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series79.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
3.0ms
(* (* x 9.0) y)
6.0ms
(* (* (* z 4.0) t) a)
51.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify69.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0491675
12345574
25002574

prune159.0ms

Filtered
57 candidates to 89 candidates (-56.1%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New791089
Fresh000
Picked101
Done000
Total801090

Merged error: 7.4b

Counts
90 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
3.8b
(/ b (* z c))
4.8b
(/ (* a t) c)
10.7b
(/ (* 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:
8.0ms
(* 9.0 (/ (* x y) (* z c)))
4.0ms
(/ b (* z c))
4.0ms
(/ (* a t) c)
6.0ms
(/ (* x y) (* z c))

series25.0ms

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

simplify55.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0420503
12365384
25002384

prune182.0ms

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

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New9311104
Fresh279
Picked101
Done000
Total9618114

Merged error: 0.3b

Counts
114 → 18

localize16.0ms

Local error

Found 4 expressions with local error:

3.8b
(/ b (* z c))
4.8b
(/ (* z c) y)
4.8b
(/ (* a t) c)
7.2b
(/ x (/ (* z c) y))

rewrite22.0ms

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

series23.0ms

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

simplify53.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0457568
12237494
25001494

prune205.0ms

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

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New1203123
Fresh41317
Picked101
Done000
Total12516141

Merged error: 0.2b

Counts
141 → 16

localize17.0ms

Local error

Found 4 expressions with local error:

3.8b
(/ b (* z c))
4.8b
(/ (* a t) c)
4.9b
(* z (/ c y))
7.2b
(/ x (* z (/ c y)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
23×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×associate-*r*
9×cbrt-undiv div-exp
7×associate-/l*
6×pow1 prod-exp cbrt-unprod
5×associate-/r*
4×div-inv add-log-exp
3×frac-2neg associate-*l* clear-num
2×associate-*r/ unswap-sqr
1×pow-prod-down associate-/r/ *-commutative
Counts
4 → 98
Calls
4 calls:
4.0ms
(/ b (* z c))
4.0ms
(/ (* a t) c)
7.0ms
(* z (/ c y))
6.0ms
(/ x (* z (/ c y)))

series25.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ b (* z c))
7.0ms
(/ (* a t) c)
5.0ms
(* z (/ c y))
8.0ms
(/ x (* z (/ c y)))

simplify51.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0446437
12252364
25001364

prune113.0ms

Filtered
74 candidates to 110 candidates (-48.6%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New1082110
Fresh21315
Picked101
Done000
Total11115126

Merged error: 0.0b

Counts
126 → 15

regimes1.7s

Accuracy

25.4% (8.2b remaining)

Error of 8.3b against oracle of 0.1b and baseline of 11.1b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06538
16538

end0.0ms

sample4.1s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 56.25%

Results
759.0ms12828×body80valid

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