Details

Time bar (total: 3.1s)

sample39.0ms

Algorithm
intervals
Results
15.0ms362×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (11.0ms)

IterNodesCost
092313
192313

prune17.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 9.8b

Counts
2 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b
(* z (* 9.0 t))
0.2b
(- (* x y) (* z (* 9.0 t)))
9.2b
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
8×pow1
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×add-log-exp
4×prod-exp cbrt-unprod
3×times-frac associate-*l* pow-prod-down associate-/l*
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg frac-2neg diff-log div-sub associate-*r* clear-num associate-/r* *-commutative div-inv
Counts
3 → 54
Calls
3 calls:
4.0ms
(* z (* 9.0 t))
3.0ms
(- (* x y) (* z (* 9.0 t)))
6.0ms
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series34.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(* z (* 9.0 t))
12.0ms
(- (* x y) (* z (* 9.0 t)))
19.0ms
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify39.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
04994710
14994710

prune119.0ms

Filtered
42 candidates to 63 candidates (-50.0%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New54963
Fresh011
Picked101
Done000
Total551065

Merged error: 0.0b

Counts
65 → 10

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* y (/ x (* a 2.0))) (* (* 9.0 t) (/ z (* a 2.0))))
4.5b
(* y (/ x (* a 2.0)))
5.1b
(* (* 9.0 t) (/ z (* a 2.0)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
33×add-exp-log add-cbrt-cube
15×prod-exp cbrt-unprod
14×associate-*r*
10×pow1 add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×cbrt-undiv times-frac associate-*r/ div-exp
5×add-log-exp
4×associate-*l* pow-prod-down
2×*-commutative div-inv
1×sub-neg flip3-- diff-log frac-sub flip-- sub-div unswap-sqr
Counts
3 → 72
Calls
3 calls:
5.0ms
(- (* y (/ x (* a 2.0))) (* (* 9.0 t) (/ z (* a 2.0))))
6.0ms
(* y (/ x (* a 2.0)))
7.0ms
(* (* 9.0 t) (/ z (* a 2.0)))

series35.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(- (* y (/ x (* a 2.0))) (* (* 9.0 t) (/ z (* a 2.0))))
6.0ms
(* y (/ x (* a 2.0)))
6.0ms
(* (* 9.0 t) (/ z (* a 2.0)))

simplify34.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
05000926

prune126.0ms

Filtered
50 candidates to 81 candidates (-62.0%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New76581
Fresh549
Picked101
Done000
Total82991

Merged error: 0b

Counts
91 → 9

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* (/ y a) (/ x 2.0)) (* (* 9.0 t) (/ z (* a 2.0))))
3.9b
(* (/ y a) (/ x 2.0))
5.1b
(* (* 9.0 t) (/ z (* a 2.0)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
36×add-exp-log add-cbrt-cube
31×add-sqr-sqrt
25×times-frac
20×associate-*r*
19×add-cube-cbrt *-un-lft-identity
15×prod-exp cbrt-unprod
14×associate-*l*
10×pow1
8×cbrt-undiv div-exp
7×associate-*r/
5×add-log-exp
4×pow-prod-down unswap-sqr
3×frac-times frac-sub div-inv
2×associate-*l/ *-commutative
1×sub-neg flip3-- diff-log flip-- sub-div
Counts
3 → 97
Calls
3 calls:
6.0ms
(- (* (/ y a) (/ x 2.0)) (* (* 9.0 t) (/ z (* a 2.0))))
9.0ms
(* (/ y a) (/ x 2.0))
7.0ms
(* (* 9.0 t) (/ z (* a 2.0)))

series36.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(- (* (/ y a) (/ x 2.0)) (* (* 9.0 t) (/ z (* a 2.0))))
6.0ms
(* (/ y a) (/ x 2.0))
6.0ms
(* (* 9.0 t) (/ z (* a 2.0)))

simplify51.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
049991189
149991189

prune142.0ms

Filtered
72 candidates to 106 candidates (-47.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1051106
Fresh178
Picked011
Done000
Total1069115

Merged error: 0b

Counts
115 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(* a (sqrt 2.0))
0.5b
(/ x (sqrt 2.0))
4.0b
(* (/ y (* a (sqrt 2.0))) (/ x (sqrt 2.0)))
5.1b
(* (* 9.0 t) (/ z (* a 2.0)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
50×add-exp-log add-cbrt-cube
44×times-frac
39×add-cube-cbrt *-un-lft-identity
35×associate-*r*
26×sqrt-prod
20×prod-exp cbrt-unprod
13×pow1
12×cbrt-undiv div-exp
11×associate-*l*
6×associate-/r*
5×pow-prod-down unswap-sqr
4×div-inv add-log-exp
3×*-commutative associate-/l*
2×associate-*r/
1×frac-times frac-2neg associate-*l/ clear-num
Counts
4 → 148
Calls
4 calls:
5.0ms
(* a (sqrt 2.0))
4.0ms
(/ x (sqrt 2.0))
13.0ms
(* (/ y (* a (sqrt 2.0))) (/ x (sqrt 2.0)))
9.0ms
(* (* 9.0 t) (/ z (* a 2.0)))

series34.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* a (sqrt 2.0))
5.0ms
(/ x (sqrt 2.0))
19.0ms
(* (/ y (* a (sqrt 2.0))) (/ x (sqrt 2.0)))
6.0ms
(* (* 9.0 t) (/ z (* a 2.0)))

simplify44.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
051001386

prune198.0ms

Filtered
94 candidates to 160 candidates (-70.2%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1600160
Fresh077
Picked011
Done011
Total1609169

Merged error: 0b

Counts
169 → 9

regimes897.0ms

Accuracy

46.7% (4.3b remaining)

Error of 4.3b against oracle of 0.0b and baseline of 8.0b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03941
13941

end0.0ms

sample1.1s

Algorithm
intervals
Results
480.0ms11118×body80valid

Profiling

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