Details

Time bar (total: 3.4s)

sample25.0ms

Algorithm
intervals
Results
12.0ms333×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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
7.6b
(/ (* y (- z t)) a)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
add-cube-cbrt
pow1 associate-*r* add-log-exp
associate-*r/
sub-neg flip3-- times-frac associate-*l* associate-/r* flip--
cbrt-undiv distribute-rgt-in distribute-lft-in div-exp prod-exp cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares
frac-2neg diff-log pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 63
Calls
3 calls:
4.0ms
(- x (/ (* y (- z t)) a))
6.0ms
(* y (- z t))
7.0ms
(/ (* y (- z t)) a)

series127.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(- x (/ (* y (- z t)) a))
34.0ms
(* y (- z t))
48.0ms
(/ (* y (- z t)) a)

simplify40.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0291345
11204306
25001306

prune152.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
0.5b
(cbrt a)
6.4b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite26.0ms

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
prod-exp cbrt-unprod
cbrt-undiv div-exp associate-*l*
pow1 distribute-lft-out-- difference-of-squares unswap-sqr
add-log-exp
pow1/3
div-inv
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)))

series616.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt a)
184.0ms
(cbrt a)
172.0ms
(cbrt a)
89.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify59.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0480918
12615741
25001706

prune345.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ y (/ a (- z t))))
0.0b
(/ a (- z t))
6.1b
(/ y (/ a (- z t)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
112×add-sqr-sqrt
105×*-un-lft-identity
71×add-cube-cbrt
26×associate-/r*
19×difference-of-squares
17×distribute-lft-out--
11×associate-/r/
10×add-exp-log add-cbrt-cube
flip3-- flip-- div-inv associate-/l*
add-log-exp
cbrt-undiv div-exp
pow1
frac-2neg clear-num
sub-neg diff-log
Counts
3 → 155
Calls
3 calls:
21.0ms
(- x (/ y (/ a (- z t))))
9.0ms
(/ a (- z t))
9.0ms
(/ y (/ a (- z t)))

series129.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(- x (/ y (/ a (- z t))))
27.0ms
(/ a (- z t))
57.0ms
(/ y (/ a (- z t)))

simplify63.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05511200
123711160
250011157

prune455.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (* (/ y a) (- z t)))
8.1b
(* (/ y a) (- z t))

rewrite14.0ms

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
sub-neg associate-*r*
pow1 distribute-rgt-in distribute-lft-in associate--r+ add-log-exp
flip3-- flip--
frac-times associate-*r/ prod-exp cbrt-unprod unswap-sqr
cbrt-undiv diff-log div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 58
Calls
2 calls:
3.0ms
(- x (* (/ y a) (- z t)))
9.0ms
(* (/ y a) (- z t))

series98.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(- x (* (/ y a) (- z t)))
54.0ms
(* (/ y a) (- z t))

simplify35.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0316343
11221313
25001305

prune125.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes262.0ms

Accuracy

68.8% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 2.8b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02717
12717

end0.0ms

sample644.0ms

Algorithm
intervals
Results
335.0ms10742×body80valid