Details

Time bar (total: 3.5s)

sample29.0ms

Algorithm
intervals
Results
17.0ms332×body80valid

simplify109.0ms

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: 3.6b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z x)) t))
0.0b
(* y (- z x))
3.8b
(/ (* y (- z x)) t)

rewrite25.0ms

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:
5.0ms
(+ x (/ (* y (- z x)) t))
9.0ms
(* y (- z x))
6.0ms
(/ (* y (- z x)) t)

series123.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(+ x (/ (* y (- z x)) t))
35.0ms
(* y (- z x))
47.0ms
(/ (* y (- z x)) t)

simplify39.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0290325
11223280
25001280

prune137.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ 1 (/ t (* y (- z x)))))
0.0b
(* y (- z x))
0.4b
(/ 1 (/ t (* y (- z x))))
3.8b
(/ t (* y (- z x)))

rewrite41.0ms

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:
13.0ms
(+ x (/ 1 (/ t (* y (- z x)))))
9.0ms
(* y (- z x))
10.0ms
(/ 1 (/ t (* y (- z x))))
5.0ms
(/ t (* y (- z x)))

series169.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(+ x (/ 1 (/ t (* y (- z x)))))
40.0ms
(* y (- z x))
53.0ms
(/ 1 (/ t (* y (- z x))))
42.0ms
(/ t (* y (- z x)))

simplify56.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0447816
12087669
25002652

prune231.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ 1 (/ (/ t y) (- z x))))
0.4b
(/ 1 (/ (/ t y) (- z x)))
6.5b
(/ (/ t y) (- z x))

rewrite138.0ms

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:
76.0ms
(+ x (/ 1 (/ (/ t y) (- z x))))
21.0ms
(/ 1 (/ (/ t y) (- z x)))
9.0ms
(/ (/ t y) (- z x))

series130.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(+ x (/ 1 (/ (/ t y) (- z x))))
59.0ms
(/ 1 (/ (/ t y) (- z x)))
37.0ms
(/ (/ t y) (- z x))

simplify76.0ms

Algorithm
egg-herbie
Counts
434 → 434
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
014124509
150013663

prune862.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* 1 (/ (- z x) (/ t y))))
6.4b
(/ (- z x) (/ t y))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
87×*-un-lft-identity
86×add-sqr-sqrt
58×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
13×associate-/r*
7×add-exp-log add-cbrt-cube div-inv
5×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 associate-/l/
1×+-commutative flip3-- frac-2neg flip3-+ div-sub clear-num sum-log associate-/r/ flip-- flip-+ distribute-lft-out
Counts
2 → 113
Calls
2 calls:
2.0ms
(+ x (* 1 (/ (- z x) (/ t y))))
10.0ms
(/ (- z x) (/ t y))

series80.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ x (* 1 (/ (- z x) (/ t y))))
46.0ms
(/ (- z x) (/ t y))

simplify63.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0622965
12423918
25001917

prune266.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes77.0ms

Accuracy

0% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0144
1164
2164

end0.0ms

sample813.0ms

Algorithm
intervals
Results
537.0ms10727×body80valid