Details

Time bar (total: 4.0s)

sample27.0ms

Algorithm
intervals
Results
12.0ms351×body80valid

simplify67.0ms

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: 9.5b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.4b
(- (* x y) (* (* z 9.0) t))
0.5b
(* (* z 9.0) t)
8.8b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite19.0ms

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))
8.0ms
(* (* z 9.0) t)
7.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series131.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(- (* x y) (* (* z 9.0) t))
17.0ms
(* (* z 9.0) t)
62.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify44.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0326399
11408341
25002341

prune147.0ms

Filtered
63 candidates to 44 candidates (69.8%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New531063
Fresh000
Picked101
Done000
Total541064

Merged error: 8.8b

Counts
64 → 10

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))
6.7b
(/ (* x y) a)
7.7b
(/ (* 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)))
7.0ms
(* 4.5 (/ (* t z) a))
4.0ms
(/ (* x y) a)
5.0ms
(/ (* t z) a)

series172.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
27.0ms
(* 4.5 (/ (* t z) a))
22.0ms
(/ (* x y) a)
19.0ms
(/ (* t z) a)

simplify52.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0381486
11921419
25001419

prune211.0ms

Filtered
95 candidates to 62 candidates (65.3%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New89695
Fresh369
Picked101
Done000
Total9312105

Merged error: 1.0b

Counts
105 → 12

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ t (/ a z))))
0.2b
(* 4.5 (/ t (/ a z)))
5.8b
(/ t (/ a z))
6.7b
(/ (* x y) a)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
147×times-frac
93×add-sqr-sqrt
84×add-cube-cbrt *-un-lft-identity
44×associate-*r*
23×add-exp-log add-cbrt-cube
16×associate-/r*
10×div-inv
8×cbrt-undiv div-exp
6×pow1 add-log-exp
4×prod-exp cbrt-unprod associate-/l*
3×associate-*r/ associate-*l* unswap-sqr
2×frac-2neg clear-num associate-/r/
1×sub-neg flip3-- diff-log pow-prod-down *-commutative frac-sub flip--
Counts
4 → 170
Calls
4 calls:
5.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ t (/ a z))))
14.0ms
(* 4.5 (/ t (/ a z)))
6.0ms
(/ t (/ a z))
4.0ms
(/ (* x y) a)

series174.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ t (/ a z))))
26.0ms
(* 4.5 (/ t (/ a z)))
24.0ms
(/ t (/ a z))
19.0ms
(/ (* x y) a)

simplify87.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
07191082
136131011
250011011

prune428.0ms

Filtered
182 candidates to 143 candidates (78.6%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1802182
Fresh3811
Picked101
Done000
Total18410194

Merged error: 0.0b

Counts
194 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt a)
0.7b
(cbrt a)
5.0b
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
6.7b
(/ (* x y) a)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
31×times-frac
30×add-exp-log
23×add-cube-cbrt *-un-lft-identity add-cbrt-cube
22×associate-*r*
17×cbrt-prod
9×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*l*
6×pow1 unswap-sqr
4×add-log-exp
3×associate-/r* div-inv
2×pow1/3
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l*
Counts
4 → 102
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
14.0ms
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
4.0ms
(/ (* x y) a)

series464.0ms

Counts
4 → 12
Calls
4 calls:
220.0ms
(cbrt a)
175.0ms
(cbrt a)
50.0ms
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
19.0ms
(/ (* x y) a)

simplify67.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0521766
12741611
25001574

prune303.0ms

Filtered
114 candidates to 86 candidates (75.4%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1140114
Fresh099
Picked011
Done000
Total11410124

Merged error: 0.0b

Counts
124 → 10

regimes751.0ms

Accuracy

85% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 8.0b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04222
14222

end0.0ms

sample756.0ms

Algorithm
intervals
Results
413.0ms11216×body80valid