Details

Time bar (total: 3.5s)

sample19.0ms

Algorithm
intervals
Results
8.0ms342×body80valid

simplify106.0ms

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: 7.6b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* (- y x) z) t))
0.0b
(* (- y x) z)
7.8b
(/ (* (- y x) z) t)

rewrite22.0ms

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:
4.0ms
(+ x (/ (* (- y x) z) t))
10.0ms
(* (- y x) z)
7.0ms
(/ (* (- y x) z) t)

series108.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(+ x (/ (* (- y x) z) t))
28.0ms
(* (- y x) z)
44.0ms
(/ (* (- y x) z) t)

simplify35.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0283314
11117267
25001267

prune129.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) (/ t z)))
8.1b
(/ (- y x) (/ t z))

rewrite45.0ms

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:
27.0ms
(+ x (/ (- y x) (/ t z)))
13.0ms
(/ (- y x) (/ t z))

series77.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(+ x (/ (- y x) (/ t z)))
44.0ms
(/ (- y x) (/ t z))

simplify54.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0609959
12199914
25001913

prune252.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
3.1b
(* (* (cbrt z) (cbrt z)) (/ (- y x) (/ t (cbrt z))))
3.7b
(/ (- y x) (/ t (cbrt z)))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
423×times-frac
294×add-sqr-sqrt
285×*-un-lft-identity
195×add-cube-cbrt
115×associate-*r*
106×cbrt-prod
45×distribute-lft-out-- difference-of-squares
30×add-exp-log
22×associate-/r*
21×add-cbrt-cube
13×div-inv
9×pow1 cbrt-undiv div-exp prod-exp cbrt-unprod
5×associate-/l*
4×add-log-exp unswap-sqr
3×pow-prod-down
2×pow1/3 associate-/r/ associate-/l/
1×flip3-- frac-2neg div-sub associate-*r/ associate-*l* clear-num *-commutative flip--
Counts
4 → 320
Calls
4 calls:
0.0ms
(cbrt z)
0.0ms
(cbrt z)
55.0ms
(* (* (cbrt z) (cbrt z)) (/ (- y x) (/ t (cbrt z))))
13.0ms
(/ (- y x) (/ t (cbrt z)))

series555.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(cbrt z)
169.0ms
(cbrt z)
77.0ms
(* (* (cbrt z) (cbrt z)) (/ (- y x) (/ t (cbrt z))))
137.0ms
(/ (- y x) (/ t (cbrt z)))

simplify58.0ms

Algorithm
egg-herbie
Counts
332 → 332
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
013603309
150012999

prune946.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (/ (- y x) t) z))
0.0b
(/ (- y x) t)
5.5b
(* (/ (- y x) t) z)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*l*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
3×associate-*r* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative flip3-- frac-2neg flip3-+ div-sub pow-prod-down associate-*l/ clear-num sum-log *-commutative flip-- flip-+
Counts
3 → 87
Calls
3 calls:
2.0ms
(+ x (* (/ (- y x) t) z))
10.0ms
(/ (- y x) t)
15.0ms
(* (/ (- y x) t) z)

series103.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(+ x (* (/ (- y x) t) z))
25.0ms
(/ (- y x) t)
42.0ms
(* (/ (- y x) t) z)

simplify39.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0347496
11161462
25001450

prune189.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes82.0ms

Accuracy

0% (1.7b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 1.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094
194

end0.0ms

sample531.0ms

Algorithm
intervals
Results
274.0ms10767×body80valid