Details

Time bar (total: 6.3s)

sample18.0ms

Algorithm
intervals
Results
7.0ms329×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))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
9×*-un-lft-identity
4×associate-*l* distribute-lft-out
3×add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 15
Calls
1 calls:
12.0ms
(+ (* x y) (* z t))

series36.0ms

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

simplify120.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
010086
136379
2105179
3293179
4500179

prune32.0ms

Filtered
18 candidates to 13 candidates (72.2%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New17118
Fresh000
Picked011
Done000
Total17219

Merged error: 0.0b

Counts
19 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
1.8b
(cbrt (+ (* x y) (* z t)))
1.8b
(cbrt (+ (* x y) (* z t)))
1.8b
(cbrt (+ (* x y) (* z t)))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
143×*-un-lft-identity
93×cbrt-prod
70×associate-*l*
60×distribute-lft-out
30×swap-sqr
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×associate-*r*
9×flip3-+ pow1/3 flip-+
8×add-cbrt-cube
6×add-exp-log
4×frac-times cbrt-unprod 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
Counts
4 → 134
Calls
4 calls:
32.0ms
(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
11.0ms
(cbrt (+ (* x y) (* z t)))
12.0ms
(cbrt (+ (* x y) (* z t)))
12.0ms
(cbrt (+ (* x y) (* z t)))

series432.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
103.0ms
(cbrt (+ (* x y) (* z t)))
101.0ms
(cbrt (+ (* x y) (* z t)))
102.0ms
(cbrt (+ (* x y) (* z t)))

simplify120.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 3 (103.0ms)

IterNodesCost
03291528
111151442
242611159
350011150

prune275.0ms

Filtered
146 candidates to 75 candidates (51.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1451146
Fresh000
Picked011
Done011
Total1453148

Merged error: 0.0b

Counts
148 → 3

localize24.0ms

Local error

Found 4 expressions with local error:

5.6b
(* (* x y) (* z t))
11.6b
(/ (* (cbrt (+ (* x y) (* z t))) (cbrt (+ (pow (* x y) 3) (pow (* z t) 3)))) (cbrt (+ (* (* x y) (* x y)) (- (* (* z t) (* z t)) (* (* x y) (* z t))))))
24.5b
(cbrt (+ (* (* x y) (* x y)) (- (* (* z t) (* z t)) (* (* x y) (* z t)))))
34.5b
(cbrt (+ (pow (* x y) 3) (pow (* z t) 3)))

rewrite881.0ms

Algorithm
rewrite-expression-head
Rules
6207×*-un-lft-identity
5176×associate-*l*
2903×cbrt-prod
2234×distribute-lft-out
1656×times-frac
1296×distribute-lft-out--
1017×associate-*r*
608×unpow-prod-down cube-prod
603×add-sqr-sqrt
291×add-cube-cbrt
158×unswap-sqr
152×pow-unpow sum-cubes
46×associate-/l*
40×*-commutative
36×associate-/r*
31×add-cbrt-cube
21×add-exp-log
18×cbrt-div
16×pow1 cbrt-unprod
10×cbrt-undiv
9×flip3-+ prod-exp flip-+
8×pow-prod-down associate-/l/
4×frac-times add-log-exp
2×pow1/3 associate-*r/ div-exp associate-*l/ associate-/r/
1×frac-2neg clear-num div-inv
Counts
4 → 1895
Calls
4 calls:
13.0ms
(* (* x y) (* z t))
314.0ms
(/ (* (cbrt (+ (* x y) (* z t))) (cbrt (+ (pow (* x y) 3) (pow (* z t) 3)))) (cbrt (+ (* (* x y) (* x y)) (- (* (* z t) (* z t)) (* (* x y) (* z t))))))
204.0ms
(cbrt (+ (* (* x y) (* x y)) (- (* (* z t) (* z t)) (* (* x y) (* z t)))))
46.0ms
(cbrt (+ (pow (* x y) 3) (pow (* z t) 3)))

series509.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* (* x y) (* z t))
209.0ms
(/ (* (cbrt (+ (* x y) (* z t))) (cbrt (+ (pow (* x y) 3) (pow (* z t) 3)))) (cbrt (+ (* (* x y) (* x y)) (- (* (* z t) (* z t)) (* (* x y) (* z t))))))
160.0ms
(cbrt (+ (* (* x y) (* x y)) (- (* (* z t) (* z t)) (* (* x y) (* z t)))))
98.0ms
(cbrt (+ (pow (* x y) 3) (pow (* z t) 3)))

simplify504.0ms

Algorithm
egg-herbie
Counts
1907 → 1907
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
0134954847
1500154451

prune1.2s

Filtered
1907 candidates to 210 candidates (11.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New190611907
Fresh000
Picked011
Done022
Total190641910

Merged error: 0b

Counts
1910 → 4

localize30.0ms

Local error

Found 4 expressions with local error:

22.6b
(sqrt (+ (* (* x y) (* x y)) (- (* (* z t) (* z t)) (* (* x y) (* z t)))))
22.6b
(sqrt (+ (* (* x y) (* x y)) (- (* (* z t) (* z t)) (* (* x y) (* z t)))))
34.5b
(cbrt (+ (pow (* x y) 3) (pow (* z t) 3)))
34.5b
(cbrt (+ (pow (* x y) 3) (pow (* z t) 3)))

rewrite500.0ms

Algorithm
rewrite-expression-head
Rules
258×*-un-lft-identity
200×associate-*l*
94×distribute-lft-out
66×sqrt-prod
54×distribute-lft-out--
48×cbrt-prod
32×unpow-prod-down cube-prod
10×add-sqr-sqrt
8×add-cube-cbrt pow-unpow sum-cubes
6×pow1
4×add-exp-log cbrt-div flip3-+ sqrt-div add-cbrt-cube flip-+ add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 pow1/3
Counts
4 → 158
Calls
4 calls:
201.0ms
(sqrt (+ (* (* x y) (* x y)) (- (* (* z t) (* z t)) (* (* x y) (* z t)))))
201.0ms
(sqrt (+ (* (* x y) (* x y)) (- (* (* z t) (* z t)) (* (* x y) (* z t)))))
41.0ms
(cbrt (+ (pow (* x y) 3) (pow (* z t) 3)))
45.0ms
(cbrt (+ (pow (* x y) 3) (pow (* z t) 3)))

series428.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(sqrt (+ (* (* x y) (* x y)) (- (* (* z t) (* z t)) (* (* x y) (* z t)))))
118.0ms
(sqrt (+ (* (* x y) (* x y)) (- (* (* z t) (* z t)) (* (* x y) (* z t)))))
96.0ms
(cbrt (+ (pow (* x y) 3) (pow (* z t) 3)))
98.0ms
(cbrt (+ (pow (* x y) 3) (pow (* z t) 3)))

simplify67.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
03352026
112451910
250011888

prune406.0ms

Filtered
170 candidates to 58 candidates (34.1%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1700170
Fresh000
Picked011
Done033
Total1704174

Merged error: 0b

Counts
174 → 4

regimes183.0ms

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

sample487.0ms

Algorithm
intervals
Results
234.0ms10283×body80valid