Details

Time bar (total: 3.1s)

sample20.0ms

Algorithm
intervals
Results
9.0ms335×body80valid

simplify107.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1254
2454
3844
41254
51494
61704
72844
84914
98244
1013444
1125764
1238734
1350014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.5b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z x)) t))
0.0b
(* y (- z x))
6.2b
(/ (* y (- z x)) t)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
add-cube-cbrt
pow1 associate-*r* add-log-exp
associate-*r/
times-frac associate-*l* associate-/r*
cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/
+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 61
Calls
3 calls:
5.0ms
(+ x (/ (* y (- z x)) t))
6.0ms
(* y (- z x))
7.0ms
(/ (* y (- z x)) t)

series121.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(+ x (/ (* y (- z x)) t))
35.0ms
(* y (- z x))
51.0ms
(/ (* y (- z x)) t)

simplify43.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0290325
11223280
25001280

prune134.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ y (/ t (- z x))))
5.6b
(/ y (/ t (- z x)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
123×times-frac
86×*-un-lft-identity
84×add-sqr-sqrt
60×add-cube-cbrt
21×associate-/r*
12×distribute-lft-out-- difference-of-squares
associate-/r/
add-exp-log add-cbrt-cube
div-inv
flip3-- flip-- add-log-exp
cbrt-undiv div-exp associate-/l*
pow1
+-commutative frac-2neg flip3-+ clear-num sum-log flip-+ distribute-lft-out
Counts
2 → 114
Calls
2 calls:
22.0ms
(+ x (/ y (/ t (- z x))))
9.0ms
(/ y (/ t (- z x)))

series92.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(+ x (/ y (/ t (- z x))))
53.0ms
(/ y (/ t (- z x)))

simplify60.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0521962
12250932
25001929

prune286.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (/ y t) (- z x)))
5.3b
(* (/ y t) (- z x))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
add-exp-log add-cbrt-cube
associate-*r*
pow1 distribute-rgt-in sub-neg associate-+r+ distribute-lft-in add-log-exp
frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 57
Calls
2 calls:
3.0ms
(+ x (* (/ y t) (- z x)))
9.0ms
(* (/ y t) (- z x))

series91.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ x (* (/ y t) (- z x)))
56.0ms
(* (/ y t) (- z x))

simplify39.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0315335
11214299
25002299

prune125.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (/ y t) (/ 1 (- z x))))
0.0b
(/ 1 (- z x))
5.3b
(/ (/ y t) (/ 1 (- z x)))

rewrite313.0ms

Algorithm
rewrite-expression-head
Rules
696×times-frac
387×*-un-lft-identity
385×add-sqr-sqrt
293×add-cube-cbrt
46×distribute-lft-out-- difference-of-squares
38×div-inv
31×associate-/r/
29×add-exp-log
26×associate-/r*
18×div-exp
17×add-cbrt-cube
16×associate-/l*
15×flip3-- flip--
cbrt-undiv
add-log-exp
pow1
rec-exp 1-exp
frac-2neg clear-num
+-commutative pow-flip flip3-+ sum-log flip-+ associate-/l/ distribute-lft-out inv-pow
Counts
3 → 384
Calls
3 calls:
64.0ms
(+ x (/ (/ y t) (/ 1 (- z x))))
6.0ms
(/ 1 (- z x))
16.0ms
(/ (/ y t) (/ 1 (- z x)))

series125.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(+ x (/ (/ y t) (/ 1 (- z x))))
40.0ms
(/ 1 (- z x))
51.0ms
(/ (/ y t) (/ 1 (- z x)))

simplify84.0ms

Algorithm
egg-herbie
Counts
393 → 393
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
017044274
150013890

prune760.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes94.0ms

Accuracy

0% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104
1104

end0.0ms

sample546.0ms

Algorithm
intervals
Results
284.0ms10605×body80valid