Details

Time bar (total: 2.7s)

sample16.0ms

Algorithm
intervals
Results
6.0ms271×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0103
1173
2173

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- y (* z t))
3.4b
(/ x (- y (* z t)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-- associate-/r/ flip--
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 41
Calls
2 calls:
2.0ms
(- y (* z t))
4.0ms
(/ x (- y (* z t)))

series61.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(- y (* z t))
33.0ms
(/ x (- y (* z t)))

simplify118.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 3 (42.0ms)

IterNodesCost
0157244
1479225
21401225
34323224
45001224

prune114.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.3b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.7b
(/ 1 (/ (- y (* z t)) x))
3.4b
(/ (- y (* z t)) x)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
53×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log associate-/r*
10×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
2×rec-exp flip3-- frac-2neg 1-exp clear-num flip-- associate-/l/
1×sub-neg pow-flip diff-log div-sub associate-/r/ inv-pow
Counts
3 → 118
Calls
3 calls:
2.0ms
(- y (* z t))
7.0ms
(/ 1 (/ (- y (* z t)) x))
6.0ms
(/ (- y (* z t)) x)

series172.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(- y (* z t))
99.0ms
(/ 1 (/ (- y (* z t)) x))
41.0ms
(/ (- y (* z t)) x)

simplify50.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0409937
11775836
25001759

prune214.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.3b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.7b
(/ 1 (* (- y (* z t)) (/ 1 x)))
3.5b
(* (- y (* z t)) (/ 1 x))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
47×add-exp-log
20×add-sqr-sqrt
18×div-exp
17×add-cbrt-cube
16×prod-exp
14×*-un-lft-identity times-frac
13×add-cube-cbrt associate-*r*
9×rec-exp 1-exp
8×pow1
6×associate-/r/
5×cbrt-undiv flip3-- flip-- add-log-exp
4×frac-times associate-*l/ cbrt-unprod
3×associate-*l* associate-/l* unswap-sqr
2×pow-flip associate-*r/ pow-prod-down un-div-inv div-inv
1×sub-neg frac-2neg diff-log clear-num associate-/r* *-commutative inv-pow
Counts
3 → 96
Calls
3 calls:
2.0ms
(- y (* z t))
12.0ms
(/ 1 (* (- y (* z t)) (/ 1 x)))
13.0ms
(* (- y (* z t)) (/ 1 x))

series169.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(- y (* z t))
98.0ms
(/ 1 (* (- y (* z t)) (/ 1 x)))
44.0ms
(* (- y (* z t)) (/ 1 x))

simplify48.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0376597
11716478
25001453

prune190.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 3.3b

localize13.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ (* (cbrt x) (cbrt x)) (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))))
7.7b
(cbrt (- y (* z t)))
7.7b
(cbrt (- y (* z t)))
7.7b
(cbrt (- y (* z t)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
16×add-exp-log
9×cbrt-prod flip3-- flip--
8×associate-/r/ add-cbrt-cube
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 cbrt-undiv frac-times div-exp prod-exp cbrt-unprod add-log-exp
3×pow1/3
2×associate-*r/ associate-*l/
1×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
Counts
4 → 68
Calls
4 calls:
11.0ms
(/ (* (cbrt x) (cbrt x)) (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))))
2.0ms
(cbrt (- y (* z t)))
2.0ms
(cbrt (- y (* z t)))
2.0ms
(cbrt (- y (* z t)))

series470.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(/ (* (cbrt x) (cbrt x)) (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))))
112.0ms
(cbrt (- y (* z t)))
118.0ms
(cbrt (- y (* z t)))
117.0ms
(cbrt (- y (* z t)))

simplify96.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 3 (88.0ms)

IterNodesCost
0391820
11127708
24245673
35002667

prune273.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 3.3b

regimes208.0ms

Accuracy

0% (0.1b remaining)

Error of 2.9b against oracle of 2.8b and baseline of 2.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample407.0ms

Algorithm
intervals
Results
198.0ms8380×body80valid