Details

Time bar (total: 6.0s)

sample50.0ms

Algorithm
intervals
Results
22.0ms455×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0267
1487
2817
3987
4987

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: 0.0b

Counts
2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (* z t))
0.0b
(+ (+ (* x y) (* z t)) (* a b))
0.0b
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
10×sum-log
3×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
2×associate-+l+
Counts
3 → 38
Calls
3 calls:
6.0ms
(+ (* x y) (* z t))
6.0ms
(+ (+ (* x y) (* z t)) (* a b))
8.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

series316.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(+ (* x y) (* z t))
59.0ms
(+ (+ (* x y) (* z t)) (* a b))
222.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

simplify39.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0276348
11151333
25001333

prune127.0ms

Filtered
47 candidates to 37 candidates (78.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New45247
Fresh000
Picked011
Done000
Total45348

Merged error: 0.0b

Counts
48 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
0.5b
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.5b
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.5b
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
17.0ms
(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
6.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
6.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
6.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

series444.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
101.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
99.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
99.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

simplify114.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (99.0ms)

IterNodesCost
02821777
110191653
248361516
350011506

prune340.0ms

Filtered
99 candidates to 75 candidates (75.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New95499
Fresh011
Picked101
Done011
Total966102

Merged error: 0.0b

Counts
102 → 6

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (* (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))))
0.3b
(* (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
0.5b
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.5b
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-div
51×cbrt-prod
48×sqrt-div
45×add-sqr-sqrt
35×flip3-+ flip-+
32×frac-times
20×add-cube-cbrt *-un-lft-identity sqrt-prod
16×pow1 associate-*r/
15×associate-*l*
12×swap-sqr
11×add-exp-log pow1/3 unswap-sqr
10×associate-*r* associate-*l/
7×pow-prod-down
5×add-cbrt-cube
4×prod-exp cbrt-unprod add-log-exp
2×pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus
Counts
4 → 141
Calls
4 calls:
30.0ms
(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (* (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))))
21.0ms
(* (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
6.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
6.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

series463.0ms

Counts
4 → 12
Calls
4 calls:
161.0ms
(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (* (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))))
100.0ms
(* (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
99.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
102.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

simplify83.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04734613
115704409
250013945

prune589.0ms

Filtered
153 candidates to 103 candidates (67.3%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1530153
Fresh044
Picked011
Done011
Total1536159

Merged error: 0.0b

Counts
159 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (pow (pow (sqrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) 4) 1) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
0.4b
(pow (sqrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) 4)
0.5b
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.5b
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
47×unpow-prod-down
41×add-sqr-sqrt
24×cbrt-prod
17×add-cube-cbrt *-un-lft-identity associate-*l*
16×sqrt-prod
14×unswap-sqr
13×add-exp-log
7×pow1 sqr-pow
6×cbrt-div associate-*r*
5×pow-exp prod-exp add-cbrt-cube
4×pow-pow add-log-exp
3×pow-to-exp pow-unpow flip3-+ pow1/3 flip-+
2×sqrt-pow1 associate-*r/
1×pow1/2 pow-prod-down *-commutative sqrt-pow2 cbrt-unprod
Counts
4 → 107
Calls
4 calls:
23.0ms
(* (pow (pow (sqrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) 4) 1) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
13.0ms
(pow (sqrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) 4)
7.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
6.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

series585.0ms

Counts
4 → 12
Calls
4 calls:
217.0ms
(* (pow (pow (sqrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) 4) 1) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
165.0ms
(pow (sqrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) 4)
101.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
101.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

simplify77.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
04422294
117631927
250011669

prune422.0ms

Filtered
119 candidates to 87 candidates (73.1%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1181119
Fresh033
Picked011
Done022
Total1187125

Merged error: 0.0b

Counts
125 → 7

regimes714.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0227
1227

end0.0ms

sample1.4s

Algorithm
intervals
Results
697.0ms13665×body80valid

Profiling

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