Details

Time bar (total: 3.3s)

sample23.0ms

Algorithm
intervals
Results
9.0ms348×body80valid

simplify43.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 5.4b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

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
(- x (/ (* y (- z t)) a))
9.0ms
(* y (- z t))
6.0ms
(/ (* y (- z t)) a)

series129.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(- x (/ (* y (- z t)) a))
37.0ms
(* y (- z t))
46.0ms
(/ (* y (- z t)) a)

simplify38.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0291345
11204306
25001306

prune155.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
4.9b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite40.0ms

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:
0.0ms
(cbrt a)
0.0ms
(cbrt a)
0.0ms
(cbrt a)
34.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series612.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt a)
176.0ms
(cbrt a)
172.0ms
(cbrt a)
89.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify62.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0480918
12615741
25001706

prune348.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* (* y (- z t)) (/ 1 a)))
0.0b
(* y (- z t))
5.9b
(* (* y (- z t)) (/ 1 a))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
18×associate-*r*
17×add-cbrt-cube
16×add-sqr-sqrt
14×*-un-lft-identity
13×prod-exp
12×add-cube-cbrt
10×pow1
9×times-frac
7×associate-*r/ cbrt-unprod
5×add-log-exp
4×flip3-- div-exp associate-*l* pow-prod-down flip--
3×sub-neg
2×cbrt-undiv distribute-rgt-in frac-times rec-exp distribute-lft-in 1-exp associate-*l/ *-commutative
1×diff-log un-div-inv div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 80
Calls
3 calls:
2.0ms
(- x (* (* y (- z t)) (/ 1 a)))
9.0ms
(* y (- z t))
21.0ms
(* (* y (- z t)) (/ 1 a))

series130.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(- x (* (* y (- z t)) (/ 1 a)))
38.0ms
(* y (- z t))
46.0ms
(* (* y (- z t)) (/ 1 a))

simplify58.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0415482
12150410
25002398

prune186.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ 1 (/ a (* y (- z t)))))
0.0b
(* y (- z t))
0.5b
(/ 1 (/ a (* y (- z t))))
5.9b
(/ a (* y (- z t)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
44×times-frac
37×add-sqr-sqrt
32×add-exp-log *-un-lft-identity
26×add-cube-cbrt
20×add-cbrt-cube
14×div-exp
12×associate-*r/
11×associate-/r/
10×associate-/r*
7×pow1 cbrt-undiv flip3-- flip-- div-inv
6×associate-/l* add-log-exp
5×associate-*r* prod-exp
4×difference-of-squares
3×sub-neg rec-exp 1-exp associate-*l* cbrt-unprod distribute-lft-out--
2×distribute-rgt-in frac-2neg distribute-lft-in clear-num
1×pow-flip diff-log pow-prod-down *-commutative inv-pow unswap-sqr
Counts
4 → 130
Calls
4 calls:
13.0ms
(- x (/ 1 (/ a (* y (- z t)))))
9.0ms
(* y (- z t))
10.0ms
(/ 1 (/ a (* y (- z t))))
5.0ms
(/ a (* y (- z t)))

series172.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(- x (/ 1 (/ a (* y (- z t)))))
39.0ms
(* y (- z t))
48.0ms
(/ 1 (/ a (* y (- z t))))
41.0ms
(/ a (* y (- z t)))

simplify62.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0458870
12084724
25001708

prune247.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes284.0ms

Accuracy

79.4% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 2.4b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02919
12919

end0.0ms

sample616.0ms

Algorithm
intervals
Results
302.0ms10614×body80valid