Details

Time bar (total: 2.7s)

sample22.0ms

Algorithm
intervals
Results
10.0ms354×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: 8.9b

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b
(- (* x y) (* z t))
8.5b
(/ (- (* x y) (* z t)) a)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-- flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 42
Calls
2 calls:
3.0ms
(- (* x y) (* z t))
5.0ms
(/ (- (* x y) (* z t)) a)

series86.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(- (* x y) (* z t))
49.0ms
(/ (- (* x y) (* z t)) a)

simplify77.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0204313
1717288
22700288
35001288

prune130.0ms

Filtered
48 candidates to 37 candidates (77.1%)
Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 8.6b

localize8.0ms

Local error

Found 3 expressions with local error:

0.2b
(- (* x y) (* z t))
0.3b
(/ 1 (/ a (- (* x y) (* z t))))
8.4b
(/ a (- (* x y) (* z t)))

rewrite20.0ms

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
8×div-exp
6×flip3-- flip-- div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
2×rec-exp frac-2neg 1-exp clear-num
1×sub-neg pow-flip diff-log inv-pow
Counts
3 → 125
Calls
3 calls:
3.0ms
(- (* x y) (* z t))
7.0ms
(/ 1 (/ a (- (* x y) (* z t))))
5.0ms
(/ a (- (* x y) (* z t)))

series150.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(- (* x y) (* z t))
76.0ms
(/ 1 (/ a (- (* x y) (* z t))))
35.0ms
(/ a (- (* x y) (* z t)))

simplify50.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04281235
118721116
250011026

prune226.0ms

Filtered
134 candidates to 71 candidates (53.0%)
Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 8.6b

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b
(- (* x y) (* z t))
8.6b
(* (/ 1 a) (- (* x y) (* z t)))

rewrite14.0ms

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
7×add-cbrt-cube
4×pow1 prod-exp add-log-exp
3×sub-neg flip3-- associate-*r* flip-- unswap-sqr
2×distribute-rgt-in frac-times distribute-lft-in associate-*r/ div-exp cbrt-unprod
1×cbrt-undiv rec-exp diff-log 1-exp pow-prod-down associate-*l/ *-commutative div-inv
Counts
2 → 55
Calls
2 calls:
3.0ms
(- (* x y) (* z t))
9.0ms
(* (/ 1 a) (- (* x y) (* z t)))

series116.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(- (* x y) (* z t))
79.0ms
(* (/ 1 a) (- (* x y) (* z t)))

simplify109.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0288414
11199356
24902344
35001344

prune136.0ms

Filtered
61 candidates to 38 candidates (62.3%)
Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 8.6b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* x y) (* z t))
0.3b
(/ 1 (- (* x y) (* z t)))
0.3b
(/ 1 (* a (/ 1 (- (* x y) (* z t)))))
8.5b
(* a (/ 1 (- (* x y) (* z t))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log
29×add-sqr-sqrt
23×*-un-lft-identity times-frac
22×add-cube-cbrt
20×div-exp add-cbrt-cube
16×prod-exp
15×associate-*r*
10×pow1 rec-exp 1-exp
6×cbrt-undiv associate-/r/ associate-/l* add-log-exp
4×associate-/r* cbrt-unprod
3×flip3-- pow-flip associate-*l* flip-- div-inv unswap-sqr
2×frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv inv-pow
1×sub-neg diff-log *-commutative
Counts
4 → 123
Calls
4 calls:
3.0ms
(- (* x y) (* z t))
5.0ms
(/ 1 (- (* x y) (* z t)))
8.0ms
(/ 1 (* a (/ 1 (- (* x y) (* z t)))))
9.0ms
(* a (/ 1 (- (* x y) (* z t))))

series178.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(- (* x y) (* z t))
30.0ms
(/ 1 (- (* x y) (* z t)))
73.0ms
(/ 1 (* a (/ 1 (- (* x y) (* z t)))))
38.0ms
(* a (/ 1 (- (* x y) (* z t))))

simplify44.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0396885
11756733
25001692

prune194.0ms

Filtered
135 candidates to 69 candidates (51.1%)
Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 8.6b

regimes422.0ms

Accuracy

0% (0.3b remaining)

Error of 7.6b against oracle of 7.3b and baseline of 7.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

sample634.0ms

Algorithm
intervals
Results
321.0ms11221×body80valid