Details

Time bar (total: 3.7s)

sample18.0ms

Algorithm
intervals
Results
7.0ms333×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1183
2183

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 add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 12
Calls
1 calls:
3.0ms
(- (* x y) (* z t))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(- (* x y) (* z t))

simplify74.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
09178
128571
289571
3213671
4500171

prune35.0ms

Filtered
15 candidates to 12 candidates (80.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New13215
Fresh000
Picked011
Done000
Total13316

Merged error: 0.0b

Counts
16 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (* x y) (* z t))) (cbrt (- (* x y) (* z t))))
1.5b
(cbrt (- (* x y) (* z t)))
1.5b
(cbrt (- (* x y) (* z t)))
1.5b
(cbrt (- (* x y) (* z t)))

rewrite22.0ms

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)))

series476.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(* (cbrt (- (* x y) (* z t))) (cbrt (- (* x y) (* z t))))
122.0ms
(cbrt (- (* x y) (* z t)))
112.0ms
(cbrt (- (* x y) (* z t)))
112.0ms
(cbrt (- (* x y) (* z t)))

simplify102.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (92.0ms)

IterNodesCost
03131067
110661000
24165924
35001915

prune253.0ms

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: 0.0b

Counts
102 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

1.6b
(- (* (* x y) (* x y)) (* (* z t) (* z t)))
12.9b
(/ (* (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t)))) (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))) (* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t)))))
24.2b
(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))
24.2b
(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-div
16×add-exp-log
9×flip3-- flip--
8×cbrt-prod frac-times associate-/r/ add-cbrt-cube associate-/l/
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ flip-+ add-log-exp
4×pow1 cbrt-undiv associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod
3×difference-of-squares
2×pow1/3
1×sub-neg frac-2neg times-frac diff-log clear-num associate-/r* div-inv associate-/l*
Counts
4 → 78
Calls
4 calls:
6.0ms
(- (* (* x y) (* x y)) (* (* z t) (* z t)))
25.0ms
(/ (* (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t)))) (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))) (* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t)))))
6.0ms
(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))
6.0ms
(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))

series499.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(- (* (* x y) (* x y)) (* (* z t) (* z t)))
164.0ms
(/ (* (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t)))) (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))) (* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t)))))
114.0ms
(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))
112.0ms
(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))

simplify66.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
04711844
117821514
250021464

prune342.0ms

Filtered
90 candidates to 74 candidates (82.2%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New88290
Fresh011
Picked011
Done022
Total88694

Merged error: 0.0b

Counts
94 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

1.2b
(+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y)))
1.7b
(* (* z t) (+ (* z t) (* x y)))
2.5b
(- (pow (* x y) 3) (pow (* z t) 3))
34.9b
(/ (- (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
29×*-un-lft-identity
27×times-frac
20×difference-of-squares sqr-pow
19×add-cube-cbrt
11×add-exp-log add-cbrt-cube
9×pow1 associate-/l*
8×add-log-exp
5×difference-cubes distribute-lft-out--
3×flip3-+ associate-*r* pow-prod-down prod-exp associate-/r* cbrt-unprod flip-+
2×distribute-rgt-in associate-+l+ flip3-- distribute-lft-in associate-*r/ associate-/r/ flip-- associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub div-exp associate-*l* clear-num sum-log *-commutative div-inv
Counts
4 → 109
Calls
4 calls:
8.0ms
(+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y)))
9.0ms
(* (* z t) (+ (* z t) (* x y)))
11.0ms
(- (pow (* x y) 3) (pow (* z t) 3))
16.0ms
(/ (- (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y))))

series490.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y)))
51.0ms
(* (* z t) (+ (* z t) (* x y)))
210.0ms
(- (pow (* x y) 3) (pow (* z t) 3))
142.0ms
(/ (- (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (+ (* z t) (* x y))) (* (* x y) (* x y))))

simplify136.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (113.0ms)

IterNodesCost
05562028
132511905
250021900

prune357.0ms

Filtered
121 candidates to 92 candidates (76.0%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1192121
Fresh202
Picked101
Done033
Total1225127

Merged error: 0.0b

Counts
127 → 5

regimes197.0ms

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
093
193

end0.0ms

sample479.0ms

Algorithm
intervals
Results
233.0ms10449×body80valid