Details

Time bar (total: 3.8s)

sample28.0ms

Algorithm
intervals
Results
13.0ms345×body80valid

simplify76.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0266
1896
22776
37356
414366
517146
617306
717306

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: 10.0b

Counts
2 → 1

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) (* (* z 9.0) t))
0.2b
(* (* z 9.0) t)
9.4b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite17.0ms

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-*r* pow-prod-down associate-/l*
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg frac-2neg diff-log div-sub associate-*l* clear-num associate-/r* *-commutative div-inv
Counts
3 → 54
Calls
3 calls:
3.0ms
(- (* x y) (* (* z 9.0) t))
5.0ms
(* (* z 9.0) t)
7.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series135.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(- (* x y) (* (* z 9.0) t))
21.0ms
(* (* z 9.0) t)
63.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify48.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0326399
11408341
25002341

prune159.0ms

Filtered
63 candidates to 44 candidates (69.8%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New521163
Fresh000
Picked101
Done000
Total531164

Merged error: 9.5b

Counts
64 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
0.2b
(* 4.5 (/ (* t z) a))
5.7b
(/ (* x y) a)
7.2b
(/ (* t z) a)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
13×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
9×times-frac
7×associate-*r*
6×pow1 cbrt-undiv div-exp prod-exp associate-/r* cbrt-unprod add-log-exp
5×associate-*r/
3×associate-*l* div-inv
2×frac-2neg clear-num associate-/l*
1×sub-neg flip3-- diff-log pow-prod-down *-commutative frac-sub flip-- sub-div unswap-sqr
Counts
4 → 83
Calls
4 calls:
5.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
6.0ms
(* 4.5 (/ (* t z) a))
4.0ms
(/ (* x y) a)
4.0ms
(/ (* t z) a)

series171.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
26.0ms
(* 4.5 (/ (* t z) a))
19.0ms
(/ (* x y) a)
23.0ms
(/ (* t z) a)

simplify53.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0381486
11921419
25001419

prune207.0ms

Filtered
95 candidates to 62 candidates (65.3%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New86995
Fresh7310
Picked101
Done000
Total9412106

Merged error: 0.5b

Counts
106 → 12

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.5 (/ (* x y) a))
0.0b
(- (* 0.5 (/ (* x y) a)) (* (* t 4.5) (/ z a)))
4.6b
(* (* t 4.5) (/ z a))
5.7b
(/ (* x y) a)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log add-cbrt-cube
20×associate-*r*
18×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
15×times-frac
11×pow1 prod-exp cbrt-unprod
6×cbrt-undiv associate-*r/ div-exp add-log-exp
4×associate-*l* pow-prod-down
3×associate-/r* div-inv
2×*-commutative
1×sub-neg flip3-- frac-2neg diff-log clear-num frac-sub flip-- associate-/l* sub-div unswap-sqr
Counts
4 → 95
Calls
4 calls:
6.0ms
(* 0.5 (/ (* x y) a))
6.0ms
(- (* 0.5 (/ (* x y) a)) (* (* t 4.5) (/ z a)))
7.0ms
(* (* t 4.5) (/ z a))
4.0ms
(/ (* x y) a)

series186.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* 0.5 (/ (* x y) a))
108.0ms
(- (* 0.5 (/ (* x y) a)) (* (* t 4.5) (/ z a)))
28.0ms
(* (* t 4.5) (/ z a))
23.0ms
(/ (* x y) a)

simplify76.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
0490572
12600492
25001492

prune225.0ms

Filtered
107 candidates to 68 candidates (63.6%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1034107
Fresh4711
Picked101
Done000
Total10811119

Merged error: 0.0b

Counts
119 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
3.8b
(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
4.6b
(* (* t 4.5) (/ z a))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
37×add-exp-log times-frac
35×associate-*r*
30×add-cbrt-cube
28×add-cube-cbrt *-un-lft-identity
17×cbrt-prod
14×prod-exp cbrt-unprod
11×pow1
9×cbrt-undiv div-exp
8×associate-*l*
6×unswap-sqr
4×pow-prod-down add-log-exp
3×div-inv
2×pow1/3 associate-*r/ *-commutative
1×frac-times associate-*l/
Counts
4 → 114
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
18.0ms
(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
7.0ms
(* (* t 4.5) (/ z a))

series433.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt a)
174.0ms
(cbrt a)
52.0ms
(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
27.0ms
(* (* t 4.5) (/ z a))

simplify83.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
0643859
13456682
25002645

prune309.0ms

Filtered
126 candidates to 91 candidates (72.2%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1260126
Fresh01010
Picked011
Done000
Total12611137

Merged error: 0.0b

Counts
137 → 11

regimes655.0ms

Accuracy

78.2% (1.7b remaining)

Error of 1.7b against oracle of 0.1b and baseline of 7.6b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04322
14322

end0.0ms

sample780.0ms

Algorithm
intervals
Results
436.0ms11126×body80valid