Details

Time bar (total: 9.6s)

sample2.5s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 54.019304%

Results
24.0ms424×body80valid

simplify134.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 21.6b

Counts
2 → 1

localize17.0ms

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)
7.1b
(* (* (* z 4.0) t) a)
18.1b
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
18×pow1
14×*-un-lft-identity
10×prod-exp cbrt-unprod
pow-prod-down add-log-exp
add-sqr-sqrt add-cube-cbrt
associate-*r*
times-frac associate-/l*
distribute-lft-out
cbrt-undiv associate-+l- associate-+l+ flip3-+ div-exp associate-*l* sum-log *-commutative flip-+ associate-/l/
+-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)
6.0ms
(* (* (* z 4.0) t) a)
10.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series93.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b)
3.0ms
(* (* x 9.0) y)
10.0ms
(* (* (* z 4.0) t) a)
50.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify64.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0481731
12190614
25001614

prune175.0ms

Filtered
59 candidates to 93 candidates (-57.6%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New811293
Fresh000
Picked101
Done000
Total821294

Merged error: 6.9b

Counts
94 → 12

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
4.8b
(/ (* a t) c)
5.5b
(/ b (* z c))
11.5b
(/ (* 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
times-frac
pow1
associate-*r* associate-/r* associate-/l*
div-inv add-log-exp
frac-2neg associate-*l* clear-num
associate-*r/ pow-prod-down *-commutative unswap-sqr
Counts
4 → 92
Calls
4 calls:
8.0ms
(* 9.0 (/ (* x y) (* z c)))
5.0ms
(/ (* a t) c)
4.0ms
(/ b (* z c))
6.0ms
(/ (* x y) (* z c))

series26.0ms

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

simplify59.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0420503
12365384
25002384

prune185.0ms

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

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New9212104
Fresh6511
Picked101
Done000
Total9917116

Merged error: 0.0b

Counts
116 → 17

localize18.0ms

Local error

Found 4 expressions with local error:

4.7b
(/ (* z c) y)
4.8b
(/ (* a t) c)
5.5b
(/ b (* z c))
6.5b
(/ x (/ (* z c) y))

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
div-inv associate-/l*
pow1 frac-2neg prod-exp clear-num cbrt-unprod add-log-exp
associate-/r/
Counts
4 → 111
Calls
4 calls:
4.0ms
(/ (* z c) y)
4.0ms
(/ (* a t) c)
4.0ms
(/ b (* z c))
6.0ms
(/ x (/ (* z c) y))

series22.0ms

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

simplify49.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0457568
12237494
25001494

prune203.0ms

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

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New1203123
Fresh21416
Picked101
Done000
Total12317140

Merged error: 0.0b

Counts
140 → 17

localize18.0ms

Local error

Found 4 expressions with local error:

4.8b
(/ (* a t) c)
5.2b
(* (/ (* (cbrt x) (cbrt x)) (* z c)) (* y (cbrt x)))
5.5b
(/ (* (cbrt x) (cbrt x)) (* z c))
5.5b
(/ b (* z c))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
67×add-exp-log
50×add-cbrt-cube
29×prod-exp cbrt-unprod
16×cbrt-undiv div-exp
pow1 add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
associate-*l* associate-/r* associate-/l*
div-inv add-log-exp
frac-2neg pow-prod-down clear-num
associate-*r* associate-*l/ *-commutative
Counts
4 → 100
Calls
4 calls:
4.0ms
(/ (* a t) c)
11.0ms
(* (/ (* (cbrt x) (cbrt x)) (* z c)) (* y (cbrt x)))
7.0ms
(/ (* (cbrt x) (cbrt x)) (* z c))
4.0ms
(/ b (* z c))

series46.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(/ (* a t) c)
14.0ms
(* (/ (* (cbrt x) (cbrt x)) (* z c)) (* y (cbrt x)))
23.0ms
(/ (* (cbrt x) (cbrt x)) (* z c))
5.0ms
(/ b (* z c))

simplify63.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0508783
12516573
25001518

prune81.0ms

Filtered
64 candidates to 112 candidates (-75.0%)
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New1120112
Fresh01616
Picked011
Done000
Total11217129

Merged error: 0.0b

Counts
129 → 17

regimes1.8s

Accuracy

31% (7.0b remaining)

Error of 7.5b against oracle of 0.6b and baseline of 10.7b

bsearch119.0ms

Steps
ItersRangePoint
8
2.8083924247414343e+265
5.541144401451142e+268
2.975689841991844e+268
9
1.0983959803997398
1164766.93919775
967.4880316597914
9
-4.2878501273157043e-32
-4.62736836494419e-39
-6.176029400968006e-33

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06269
16269

end0.0ms

sample3.8s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 54.019304%

Results
734.0ms12701×body80valid

Profiling

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