Details

Time bar (total: 3.3s)

sample20.0ms

Algorithm
intervals
Results
8.0ms337×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1103

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: 0.0b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* x y) (* z t))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 11
Calls
1 calls:
3.0ms
(+ (* x y) (* z t))

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(+ (* x y) (* z t))

simplify115.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
010074
136367
2105167
3293167
4500167

prune27.0ms

Filtered
14 candidates to 12 candidates (85.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New12214
Fresh000
Picked011
Done000
Total12315

Merged error: 0.0b

Counts
15 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
2.5b
(cbrt (+ (* x y) (* z t)))
2.5b
(cbrt (+ (* x y) (* z t)))
2.5b
(cbrt (+ (* x y) (* z t)))

rewrite25.0ms

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:
10.0ms
(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
3.0ms
(cbrt (+ (* x y) (* z t)))
3.0ms
(cbrt (+ (* x y) (* z t)))
3.0ms
(cbrt (+ (* x y) (* z t)))

series434.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
101.0ms
(cbrt (+ (* x y) (* z t)))
103.0ms
(cbrt (+ (* x y) (* z t)))
102.0ms
(cbrt (+ (* x y) (* z t)))

simplify90.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (79.0ms)

IterNodesCost
03141055
11035988
23734912
35002903

prune230.0ms

Filtered
99 candidates to 75 candidates (75.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New98199
Fresh011
Picked011
Done011
Total984102

Merged error: 0b

Counts
102 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (* z t))
0.3b
(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
1.9b
(sqrt (+ (* x y) (* z t)))
1.9b
(sqrt (+ (* x y) (* z t)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
4.0ms
(+ (* x y) (* z t))
10.0ms
(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
3.0ms
(sqrt (+ (* x y) (* z t)))
3.0ms
(sqrt (+ (* x y) (* z t)))

series212.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(+ (* x y) (* z t))
32.0ms
(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
72.0ms
(sqrt (+ (* x y) (* z t)))
71.0ms
(sqrt (+ (* x y) (* z t)))

simplify40.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0237768
1959698
25002674

prune175.0ms

Filtered
110 candidates to 64 candidates (58.2%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1100110
Fresh011
Picked011
Done022
Total1104114

Merged error: 0b

Counts
114 → 4

localize26.0ms

Local error

Found 4 expressions with local error:

26.8b
(cbrt (+ (* (* x y) (* x y)) (- (* (* z t) (* z t)) (* (* x y) (* z t)))))
27.1b
(/ (* (cbrt (+ (pow (* x y) 3) (pow (* z t) 3))) (cbrt (+ (pow (* x y) 3) (pow (* z t) 3)))) (* (cbrt (+ (* (* x y) (* x y)) (- (* (* z t) (* z t)) (* (* x y) (* z t))))) (cbrt (+ (* (* x y) (* x y)) (- (* (* z t) (* z t)) (* (* x y) (* z t)))))))
35.4b
(cbrt (+ (pow (* x y) 3) (pow (* z t) 3)))
35.4b
(cbrt (+ (pow (* x y) 3) (pow (* z t) 3)))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-div
16×add-exp-log
15×flip3-+ flip-+
13×cbrt-prod
11×*-un-lft-identity
8×frac-times associate-/r/ add-cbrt-cube associate-/l/
7×add-sqr-sqrt add-cube-cbrt
4×pow1 cbrt-undiv associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod add-log-exp
3×pow1/3
2×sum-cubes distribute-lft-out
1×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
Counts
4 → 80
Calls
4 calls:
10.0ms
(cbrt (+ (* (* x y) (* x y)) (- (* (* z t) (* z t)) (* (* x y) (* z t)))))
43.0ms
(/ (* (cbrt (+ (pow (* x y) 3) (pow (* z t) 3))) (cbrt (+ (pow (* x y) 3) (pow (* z t) 3)))) (* (cbrt (+ (* (* x y) (* x y)) (- (* (* z t) (* z t)) (* (* x y) (* z t))))) (cbrt (+ (* (* x y) (* x y)) (- (* (* z t) (* z t)) (* (* x y) (* z t)))))))
6.0ms
(cbrt (+ (pow (* x y) 3) (pow (* z t) 3)))
7.0ms
(cbrt (+ (pow (* x y) 3) (pow (* z t) 3)))

series527.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(cbrt (+ (* (* x y) (* x y)) (- (* (* z t) (* z t)) (* (* x y) (* z t)))))
197.0ms
(/ (* (cbrt (+ (pow (* x y) 3) (pow (* z t) 3))) (cbrt (+ (pow (* x y) 3) (pow (* z t) 3)))) (* (cbrt (+ (* (* x y) (* x y)) (- (* (* z t) (* z t)) (* (* x y) (* z t))))) (cbrt (+ (* (* x y) (* x y)) (- (* (* z t) (* z t)) (* (* x y) (* z t)))))))
90.0ms
(cbrt (+ (pow (* x y) 3) (pow (* z t) 3)))
93.0ms
(cbrt (+ (pow (* x y) 3) (pow (* z t) 3)))

simplify76.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
05402511
118062159
250012095

prune441.0ms

Filtered
92 candidates to 78 candidates (84.8%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New92092
Fresh000
Picked011
Done033
Total92496

Merged error: 0b

Counts
96 → 4

regimes193.0ms

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
0103
1103

end0.0ms

sample538.0ms

Algorithm
intervals
Results
273.0ms10444×body80valid