Details

Time bar (total: 2.6s)

sample34.0ms

Algorithm
intervals
Results
15.0ms339×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0164
1334
2454
3634
4694
5694

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b
(- (* x y) (* z t))
5.9b
(/ (- (* x y) (* z t)) a)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log add-cbrt-cube add-log-exp
associate-/r* associate-/l*
pow1 flip3-- flip-- associate-/l/
cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 42
Calls
2 calls:
2.0ms
(- (* x y) (* z t))
7.0ms
(/ (- (* x y) (* z t)) a)

series89.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(- (* x y) (* z t))
51.0ms
(/ (- (* x y) (* z t)) a)

simplify81.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0204313
1717288
22700288
35001288

prune137.0ms

Filtered
48 candidates to 37 candidates (77.1%)
Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.9b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
add-sqr-sqrt *-un-lft-identity
add-cube-cbrt
times-frac associate-/r*
add-log-exp
cbrt-undiv div-exp div-inv
pow1
frac-2neg prod-exp clear-num cbrt-unprod associate-/l*
sub-neg flip3-- distribute-rgt-out-- diff-log frac-sub flip-- distribute-lft-out-- sub-div difference-of-squares
Counts
3 → 59
Calls
3 calls:
10.0ms
(- (/ (* x y) a) (/ (* t z) a))
3.0ms
(/ (* x y) a)
3.0ms
(/ (* t z) a)

series102.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(- (/ (* x y) a) (/ (* t z) a))
18.0ms
(/ (* x y) a)
19.0ms
(/ (* t z) a)

simplify35.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0275315
11238283
25001283

prune152.0ms

Filtered
68 candidates to 46 candidates (67.6%)
Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.5b

localize8.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ 1 (/ a (- (* x y) (* z t))))
0.3b
(- (* x y) (* z t))
6.0b
(/ a (- (* x y) (* z t)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
55×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
div-exp
flip3-- flip-- div-inv associate-/l*
add-log-exp
pow1 cbrt-undiv
rec-exp frac-2neg 1-exp clear-num
sub-neg pow-flip diff-log inv-pow
Counts
3 → 125
Calls
3 calls:
11.0ms
(/ 1 (/ a (- (* x y) (* z t))))
2.0ms
(- (* x y) (* z t))
5.0ms
(/ a (- (* x y) (* z t)))

series152.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(/ 1 (/ a (- (* x y) (* z t))))
41.0ms
(- (* x y) (* z t))
36.0ms
(/ a (- (* x y) (* z t)))

simplify52.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04281235
118721116
250011026

prune245.0ms

Filtered
134 candidates to 76 candidates (56.7%)
Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.5b

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b
(- (* x y) (* t z))
6.0b
(* (/ 1 a) (- (* x y) (* t z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
11×add-exp-log *-un-lft-identity times-frac
10×add-cube-cbrt
add-cbrt-cube
pow1 prod-exp add-log-exp
sub-neg flip3-- associate-*r* flip-- unswap-sqr
distribute-rgt-in frac-times distribute-lft-in associate-*r/ div-exp cbrt-unprod
cbrt-undiv rec-exp diff-log 1-exp pow-prod-down associate-*l/ *-commutative div-inv
Counts
2 → 55
Calls
2 calls:
5.0ms
(- (* x y) (* t z))
16.0ms
(* (/ 1 a) (- (* x y) (* t z)))

series119.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(- (* x y) (* t z))
76.0ms
(* (/ 1 a) (- (* x y) (* t z)))

simplify38.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0285414
11194356
25001344

prune121.0ms

Filtered
61 candidates to 43 candidates (70.5%)
Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.5b

regimes451.0ms

Accuracy

45.8% (3.9b remaining)

Error of 4.3b against oracle of 0.4b and baseline of 7.6b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03121
13121

end0.0ms

sample639.0ms

Algorithm
intervals
Results
314.0ms11162×body80valid