Details

Time bar (total: 7.7s)

sample55.0ms

Algorithm
intervals
Results
19.0ms370×body80valid

simplify130.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0379
1949
22879
37419
416629
541959
650019

prune7.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 22.3b

Counts
2 → 1

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 9.0) y)
0.3b
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
3.9b
(* (* (* z 4.0) t) a)
19.4b
(/ (+ (- (* (* 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:
5.0ms
(* (* x 9.0) y)
4.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
6.0ms
(* (* (* z 4.0) t) a)
9.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series380.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (* x 9.0) y)
91.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
33.0ms
(* (* (* z 4.0) t) a)
232.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify70.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0491675
12345574
25002574

prune404.0ms

Filtered
89 candidates to 57 candidates (36.0%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New761389
Fresh000
Picked101
Done000
Total771390

Merged error: 5.4b

Counts
90 → 13

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
5.0b
(/ (* a t) c)
8.0b
(/ b (* z c))
11.8b
(/ (* 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:
7.0ms
(* 9.0 (/ (* x y) (* z c)))
4.0ms
(/ (* a t) c)
4.0ms
(/ b (* z c))
5.0ms
(/ (* x y) (* z c))

series126.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* 9.0 (/ (* x y) (* z c)))
22.0ms
(/ (* a t) c)
27.0ms
(/ 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

prune466.0ms

Filtered
104 candidates to 62 candidates (40.4%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New977104
Fresh6612
Picked101
Done000
Total10413117

Merged error: 0.5b

Counts
117 → 13

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
3.6b
(/ a (/ c t))
8.0b
(/ b (* z c))
11.8b
(/ (* 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:
8.0ms
(* 9.0 (/ (* x y) (* z c)))
5.0ms
(/ a (/ c t))
4.0ms
(/ b (* z c))
5.0ms
(/ (* x y) (* z c))

series130.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* 9.0 (/ (* x y) (* z c)))
23.0ms
(/ a (/ c t))
24.0ms
(/ b (* z c))
34.0ms
(/ (* x y) (* z c))

simplify74.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0634870
13152746
25001746

prune1.1s

Filtered
153 candidates to 104 candidates (32.0%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1512153
Fresh4812
Picked101
Done000
Total15610166

Merged error: 0.0b

Counts
166 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

5.0b
(/ (* a t) c)
7.1b
(/ (* z c) y)
8.0b
(/ b (* z c))
8.6b
(/ x (/ (* z c) y))

rewrite23.0ms

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

series106.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ (* a t) c)
24.0ms
(/ (* z c) y)
23.0ms
(/ b (* z c))
36.0ms
(/ x (/ (* z c) y))

simplify51.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0457568
12237494
25001494

prune892.0ms

Filtered
123 candidates to 90 candidates (26.8%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1203123
Fresh099
Picked101
Done000
Total12112133

Merged error: 0.0b

Counts
133 → 12

regimes1.7s

Accuracy

12.3% (8.9b remaining)

Error of 9.1b against oracle of 0.2b and baseline of 10.4b

bsearch226.0ms

Steps
ItersRangePoint
6
7773528568639973.0
33815486129448876.0
16984239336819632.0
8
-1.3983785225698383e-32
-7.355833365039706e-37
-2.9748527985769054e-36
5
-2.207241296122736e+202
-9.306931353169809e+201
-1.3886137951531071e+202

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06745
16745

end0.0ms

sample1.6s

Algorithm
intervals
Results
674.0ms12601×body80valid

Profiling

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