Details

Time bar (total: 3.1s)

sample31.0ms

Algorithm
intervals
Results
13.0ms337×body80valid

simplify101.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1284
2484
3794
41214
51494
62184
73204
83964
95994
108934
1112784
1221734
1337544
1450014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.4b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* (- y x) z) t))
0.0b
(* (- y x) z)
6.6b
(/ (* (- y x) z) t)

rewrite48.0ms

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-*l* add-log-exp
4×associate-*l/
3×times-frac associate-*r* associate-/r*
2×cbrt-undiv flip3-- 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 → 57
Calls
3 calls:
11.0ms
(+ x (/ (* (- y x) z) t))
20.0ms
(* (- y x) z)
16.0ms
(/ (* (- y x) z) t)

series115.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(+ x (/ (* (- y x) z) t))
30.0ms
(* (- y x) z)
44.0ms
(/ (* (- y x) z) t)

simplify32.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0283314
11117267
25001267

prune116.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) (/ t z)))
5.8b
(/ (- y x) (/ t z))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
88×*-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 div-sub associate-/l/
1×+-commutative associate-+r- flip3-- frac-2neg flip3-+ clear-num sum-log associate-/r/ flip-- flip-+ distribute-lft-out
Counts
2 → 114
Calls
2 calls:
36.0ms
(+ x (/ (- y x) (/ t z)))
22.0ms
(/ (- y x) (/ t z))

series85.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(+ x (/ (- y x) (/ t z)))
48.0ms
(/ (- y x) (/ t z))

simplify51.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0609959
12199914
25001913

prune245.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ 1 (/ (/ t z) (- y x))))
0.6b
(/ 1 (/ (/ t z) (- y x)))
5.7b
(/ (/ t z) (- y x))

rewrite173.0ms

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:
91.0ms
(+ x (/ 1 (/ (/ t z) (- y x))))
31.0ms
(/ 1 (/ (/ t z) (- y x)))
20.0ms
(/ (/ t z) (- y x))

series143.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(+ x (/ 1 (/ (/ t z) (- y x))))
54.0ms
(/ 1 (/ (/ t z) (- y x)))
47.0ms
(/ (/ t z) (- y x))

simplify64.0ms

Algorithm
egg-herbie
Counts
434 → 434
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
014134515
150013668

prune789.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

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:
7.0ms
(+ x (* (/ z t) (- y x)))
28.0ms
(* (/ z t) (- y x))

series97.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(+ x (* (/ z t) (- y x)))
59.0ms
(* (/ z t) (- y x))

simplify36.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0316335
11212299
25001299

prune114.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes119.0ms

Accuracy

30.5% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 2.0b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02717
12717

end0.0ms

sample609.0ms

Algorithm
intervals
Results
253.0ms10663×body80valid