Details

Time bar (total: 3.7s)

sample26.0ms

Algorithm
intervals
Results
8.0ms349×body80valid

simplify40.0ms

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: 6.4b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
7.2b
(/ (* y (- z t)) a)

rewrite48.0ms

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:
8.0ms
(- x (/ (* y (- z t)) a))
23.0ms
(* y (- z t))
16.0ms
(/ (* y (- z t)) a)

series121.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(- x (/ (* y (- z t)) a))
35.0ms
(* y (- z t))
43.0ms
(/ (* y (- z t)) a)

simplify36.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0291345
11204306
25001306

prune146.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ y (/ a (- z t))))
0.0b
(/ a (- z t))
5.0b
(/ y (/ a (- z t)))

rewrite74.0ms

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
6×flip3-- flip-- div-inv associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num
1×sub-neg diff-log
Counts
3 → 155
Calls
3 calls:
36.0ms
(- x (/ y (/ a (- z t))))
14.0ms
(/ a (- z t))
16.0ms
(/ y (/ a (- z t)))

series119.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(- x (/ y (/ a (- z t))))
25.0ms
(/ a (- z t))
50.0ms
(/ y (/ a (- z t)))

simplify56.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
05511200
123711160
250011157

prune372.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
0.7b
(/ y (/ (* (cbrt a) (cbrt a)) (* (cbrt (- z t)) (cbrt (- z t)))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
48×cbrt-div
43×times-frac
33×associate-/r/
25×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
24×flip3-- flip--
22×add-exp-log
16×frac-times
14×add-cbrt-cube
13×associate-/r*
9×cbrt-undiv cbrt-prod div-exp
8×associate-*r/ associate-*l/
5×div-inv
4×pow1 prod-exp cbrt-unprod add-log-exp
3×pow1/3 associate-/l*
1×frac-2neg clear-num
Counts
4 → 109
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
35.0ms
(/ y (/ (* (cbrt a) (cbrt a)) (* (cbrt (- z t)) (cbrt (- z t)))))

series731.0ms

Counts
4 → 12
Calls
4 calls:
213.0ms
(cbrt a)
167.0ms
(cbrt a)
189.0ms
(cbrt a)
161.0ms
(/ y (/ (* (cbrt a) (cbrt a)) (* (cbrt (- z t)) (cbrt (- z t)))))

simplify94.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
05731458
122911252
250031217

prune437.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (* (/ y a) (- z t)))
5.9b
(* (/ y a) (- z t))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×sub-neg associate-*r*
4×pow1 distribute-rgt-in distribute-lft-in associate--r+ add-log-exp
3×flip3-- flip--
2×frac-times associate-*r/ prod-exp cbrt-unprod unswap-sqr
1×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:
9.0ms
(- x (* (/ y a) (- z t)))
29.0ms
(* (/ y a) (- z t))

series94.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(- x (* (/ y a) (- z t)))
47.0ms
(* (/ y a) (- z t))

simplify35.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0316343
11221313
25001305

prune120.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes280.0ms

Accuracy

72% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.4b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02713
12713

end0.0ms

sample708.0ms

Algorithm
intervals
Results
264.0ms10782×body80valid