Details

Time bar (total: 6.2s)

sample26.0ms

Algorithm
intervals
Results
12.0ms366×body80valid

simplify42.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0164
1324
2694
31484
42384
53644
65184
76384
87404
98134
108424
118424

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.7b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z t))
0.0b
(- x (/ (* y (- z t)) a))
7.0b
(/ (* y (- z t)) a)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×sub-neg flip3-- times-frac associate-*l* associate-/r* flip--
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp prod-exp cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares
1×frac-2neg diff-log pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 63
Calls
3 calls:
7.0ms
(* y (- z t))
4.0ms
(- x (/ (* y (- z t)) a))
7.0ms
(/ (* y (- z t)) a)

series132.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(* y (- z t))
47.0ms
(- x (/ (* y (- z t)) a))
50.0ms
(/ (* y (- z t)) a)

simplify39.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0291345
11204306
25001306

prune155.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
4.3b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
19.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series615.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt a)
176.0ms
(cbrt a)
174.0ms
(cbrt a)
92.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify62.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0480918
12615741
25001706

prune362.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
4.3b
(* (/ y (* (cbrt a) (* (cbrt (* (cbrt a) (cbrt a))) (cbrt (cbrt a))))) (/ (- z t) (cbrt a)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
38×*-un-lft-identity
36×add-exp-log
35×times-frac
34×associate-*r*
26×add-cube-cbrt
25×cbrt-prod
24×add-cbrt-cube
14×prod-exp cbrt-unprod
10×cbrt-undiv div-exp
7×associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares
4×add-log-exp
3×pow1/3 unswap-sqr
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 105
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
22.0ms
(* (/ y (* (cbrt a) (* (cbrt (* (cbrt a) (cbrt a))) (cbrt (cbrt a))))) (/ (- z t) (cbrt a)))

series676.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt a)
216.0ms
(cbrt a)
186.0ms
(cbrt a)
96.0ms
(* (/ y (* (cbrt a) (* (cbrt (* (cbrt a) (cbrt a))) (cbrt (cbrt a))))) (/ (- z t) (cbrt a)))

simplify81.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
05391447
132501240
250011212

prune416.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

1.6b
(cbrt (/ (- z t) (cbrt a)))
1.6b
(cbrt (/ (- z t) (cbrt a)))
1.6b
(cbrt (/ (- z t) (cbrt a)))
2.7b
(* (/ y (* (cbrt a) (* (cbrt (* (cbrt a) (cbrt a))) (cbrt (cbrt a))))) (* (cbrt (/ (- z t) (cbrt a))) (cbrt (/ (- z t) (cbrt a)))))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
147×cbrt-prod
94×add-sqr-sqrt
93×*-un-lft-identity times-frac
57×add-cube-cbrt
36×add-exp-log
20×add-cbrt-cube
18×prod-exp cbrt-unprod distribute-lft-out-- difference-of-squares
11×cbrt-div
9×pow1
7×associate-*l*
6×cbrt-undiv div-exp
5×frac-times associate-*r/
4×div-inv add-log-exp
3×pow1/3 pow-prod-down associate-*l/
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 171
Calls
4 calls:
6.0ms
(cbrt (/ (- z t) (cbrt a)))
6.0ms
(cbrt (/ (- z t) (cbrt a)))
6.0ms
(cbrt (/ (- z t) (cbrt a)))
29.0ms
(* (/ y (* (cbrt a) (* (cbrt (* (cbrt a) (cbrt a))) (cbrt (cbrt a))))) (* (cbrt (/ (- z t) (cbrt a))) (cbrt (/ (- z t) (cbrt a)))))

series1.2s

Counts
4 → 12
Calls
4 calls:
274.0ms
(cbrt (/ (- z t) (cbrt a)))
286.0ms
(cbrt (/ (- z t) (cbrt a)))
273.0ms
(cbrt (/ (- z t) (cbrt a)))
340.0ms
(* (/ y (* (cbrt a) (* (cbrt (* (cbrt a) (cbrt a))) (cbrt (cbrt a))))) (* (cbrt (/ (- z t) (cbrt a))) (cbrt (/ (- z t) (cbrt a)))))

simplify72.0ms

Algorithm
egg-herbie
Counts
183 → 183
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
06302547
122852276
250012254

prune833.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

regimes685.0ms

Accuracy

62.8% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 3.5b

bsearch2.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02316
12316

end0.0ms

sample606.0ms

Algorithm
intervals
Results
297.0ms10721×body80valid