Details

Time bar (total: 2.7s)

sample31.0ms

Algorithm
intervals
Results
17.0ms351×body80valid

simplify11.0ms

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.4b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

7.9b
(/ (- (* x y) (* z t)) a)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×add-exp-log associate-/r* add-cbrt-cube associate-/l*
2×associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip-- div-inv add-log-exp
Counts
1 → 30
Calls
1 calls:
5.0ms
(/ (- (* x y) (* z t)) a)

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(/ (- (* x y) (* z t)) a)

simplify64.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0163235
1569217
22030217
35002217

prune89.0ms

Filtered
33 candidates to 26 candidates (78.8%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New24933
Fresh000
Picked011
Done000
Total241034

Merged error: 8.1b

Counts
34 → 10

localize8.0ms

Local error

Found 1 expressions with local error:

8.0b
(* (- (* x y) (* z t)) (/ 1 a))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*r*
11×times-frac
10×add-exp-log *-un-lft-identity
9×add-cube-cbrt
6×add-cbrt-cube
4×prod-exp
3×pow1 associate-*l* unswap-sqr
2×frac-times flip3-- div-exp associate-*l/ flip-- cbrt-unprod
1×cbrt-undiv rec-exp 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative div-inv add-log-exp
Counts
1 → 40
Calls
1 calls:
9.0ms
(* (- (* x y) (* z t)) (/ 1 a))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(* (- (* x y) (* z t)) (/ 1 a))

simplify41.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0263312
11186269
25001251

prune90.0ms

Filtered
43 candidates to 26 candidates (60.5%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New43043
Fresh088
Picked011
Done011
Total431053

Merged error: 8.1b

Counts
53 → 10

localize8.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1 (/ a (- (* x y) (* z t))))
8.0b
(/ a (- (* x y) (* z t)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
54×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num add-log-exp
1×pow-flip inv-pow
Counts
2 → 113
Calls
2 calls:
7.0ms
(/ 1 (/ a (- (* x y) (* z t))))
5.0ms
(/ a (- (* x y) (* z t)))

series116.0ms

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

simplify56.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04131155
118461043
25002953

prune171.0ms

Filtered
119 candidates to 61 candidates (51.3%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1181119
Fresh167
Picked011
Done022
Total11910129

Merged error: 8.1b

Counts
129 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

1.4b
(* (* (cbrt (- (* x y) (* z t))) (cbrt (- (* x y) (* z t)))) (/ (cbrt (- (* x y) (* z t))) a))
8.9b
(cbrt (- (* x y) (* z t)))
8.9b
(cbrt (- (* x y) (* z t)))
8.9b
(cbrt (- (* x y) (* z t)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-div
25×add-sqr-sqrt
22×associate-*r*
20×add-cube-cbrt *-un-lft-identity times-frac
19×cbrt-prod
16×add-exp-log frac-times
15×flip3-- flip--
12×associate-*l/
10×add-cbrt-cube
9×pow1
6×prod-exp cbrt-unprod
5×associate-*r/
4×add-log-exp
3×pow1/3 pow-prod-down unswap-sqr
2×cbrt-undiv div-exp
1×associate-*l* *-commutative div-inv
Counts
4 → 100
Calls
4 calls:
18.0ms
(* (* (cbrt (- (* x y) (* z t))) (cbrt (- (* x y) (* z t)))) (/ (cbrt (- (* x y) (* z t))) a))
3.0ms
(cbrt (- (* x y) (* z t)))
3.0ms
(cbrt (- (* x y) (* z t)))
3.0ms
(cbrt (- (* x y) (* z t)))

series392.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(* (* (cbrt (- (* x y) (* z t))) (cbrt (- (* x y) (* z t)))) (/ (cbrt (- (* x y) (* z t))) a))
112.0ms
(cbrt (- (* x y) (* z t)))
117.0ms
(cbrt (- (* x y) (* z t)))
111.0ms
(cbrt (- (* x y) (* z t)))

simplify75.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05381675
120181516
250011436

prune321.0ms

Filtered
112 candidates to 87 candidates (77.7%)
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New1111112
Fresh066
Picked011
Done033
Total11111122

Merged error: 8.1b

Counts
122 → 11

regimes363.0ms

Accuracy

0% (0.3b remaining)

Error of 8.1b against oracle of 7.7b and baseline of 8.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

sample707.0ms

Algorithm
intervals
Results
384.0ms11154×body80valid

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