Details

Time bar (total: 3.1s)

sample22.0ms

Algorithm
intervals
Results
9.0ms358×body80valid

simplify113.0ms

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: 5.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (/ (* y (- z x)) t))
5.4b
(/ (* y (- z x)) t)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-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×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-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:
9.0ms
(* y (- z x))
4.0ms
(+ x (/ (* y (- z x)) t))
6.0ms
(/ (* y (- z x)) t)

series126.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(* y (- z x))
35.0ms
(+ x (/ (* y (- z x)) t))
51.0ms
(/ (* y (- z x)) t)

simplify39.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0290325
11223280
25001280

prune143.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (/ 1 (/ t (* y (- z x)))))
0.3b
(/ 1 (/ t (* y (- z x))))
5.4b
(/ t (* y (- z x)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
32×add-exp-log
31×*-un-lft-identity
30×add-sqr-sqrt
26×add-cube-cbrt
20×add-cbrt-cube
14×div-exp
12×associate-*r/
11×associate-/r/
10×associate-/r*
7×pow1 cbrt-undiv div-inv
6×flip3-- flip-- associate-/l* add-log-exp
5×associate-*r* prod-exp
3×rec-exp 1-exp associate-*l* cbrt-unprod
2×distribute-rgt-in sub-neg frac-2neg distribute-lft-in clear-num distribute-lft-out
1×+-commutative pow-flip flip3-+ pow-prod-down sum-log *-commutative flip-+ distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
4 → 126
Calls
4 calls:
9.0ms
(* y (- z x))
14.0ms
(+ x (/ 1 (/ t (* y (- z x)))))
11.0ms
(/ 1 (/ t (* y (- z x))))
5.0ms
(/ t (* y (- z x)))

series167.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* y (- z x))
39.0ms
(+ x (/ 1 (/ t (* y (- z x)))))
52.0ms
(/ 1 (/ t (* y (- z x))))
41.0ms
(/ t (* y (- z x)))

simplify55.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0447816
12087669
25002652

prune241.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ 1 (/ (/ t y) (- z x))))
0.3b
(/ 1 (/ (/ t y) (- z x)))
8.5b
(/ (/ t y) (- z x))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
772×times-frac
462×*-un-lft-identity
459×add-sqr-sqrt
327×add-cube-cbrt
76×associate-/r*
66×distribute-lft-out-- difference-of-squares
33×div-inv
29×add-exp-log
18×div-exp
17×add-cbrt-cube
16×associate-/l*
11×associate-/r/
9×cbrt-undiv
5×flip3-- flip-- add-log-exp
4×pow1
3×rec-exp 1-exp
2×frac-2neg clear-num distribute-lft-out
1×+-commutative pow-flip flip3-+ sum-log flip-+ associate-/l/ inv-pow
Counts
3 → 425
Calls
3 calls:
81.0ms
(+ x (/ 1 (/ (/ t y) (- z x))))
21.0ms
(/ 1 (/ (/ t y) (- z x)))
9.0ms
(/ (/ t y) (- z x))

series136.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(+ x (/ 1 (/ (/ t y) (- z x))))
51.0ms
(/ 1 (/ (/ t y) (- z x)))
45.0ms
(/ (/ t y) (- z x))

simplify69.0ms

Algorithm
egg-herbie
Counts
434 → 434
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
014124509
150013663

prune683.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

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×associate-*r*
4×pow1 distribute-rgt-in sub-neg associate-+r+ distribute-lft-in add-log-exp
2×frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×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:
6.0ms
(+ x (* (/ y t) (- z x)))
15.0ms
(* (/ 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))

simplify38.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0315335
11214299
25002299

prune122.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes166.0ms

Accuracy

53.6% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 2.0b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02416
12416

end0.0ms

sample579.0ms

Algorithm
intervals
Results
295.0ms10665×body80valid