Details

Time bar (total: 5.7s)

sample28.0ms

Algorithm
intervals
Results
16.0ms328×body80valid

simplify115.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 4.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y x) z)
0.0b
(+ x (/ (* (- y x) z) t))
4.7b
(/ (* (- 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:
10.0ms
(* (- y x) z)
4.0ms
(+ x (/ (* (- y x) z) t))
6.0ms
(/ (* (- y x) z) t)

series107.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(* (- y x) z)
38.0ms
(+ x (/ (* (- y x) z) t))
41.0ms
(/ (* (- y x) z) t)

simplify35.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0283314
11117267
25001267

prune127.0ms

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) (/ z t)))
6.2b
(* (- y x) (/ z t))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 add-log-exp
2×frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 49
Calls
2 calls:
2.0ms
(+ x (* (- y x) (/ z t)))
14.0ms
(* (- y x) (/ z t))

series77.0ms

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

simplify36.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0296310
11245287
25001275

prune113.0ms

Pruning

8 alts after pruning (7 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)))
6.4b
(/ (- y x) (/ t z))

rewrite44.0ms

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:
25.0ms
(+ x (/ (- y x) (/ t z)))
12.0ms
(/ (- y x) (/ t z))

series82.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(+ x (/ (- y x) (/ t z)))
46.0ms
(/ (- y x) (/ t z))

simplify57.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0609959
12199914
25001913

prune263.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.0b
(* (/ (cbrt (- y x)) (/ (* (cbrt t) (cbrt t)) (cbrt (- y x)))) (/ (cbrt (- y x)) (/ (cbrt t) z)))
2.3b
(/ (cbrt (- y x)) (/ (cbrt t) z))

rewrite369.0ms

Algorithm
rewrite-expression-head
Rules
974×times-frac
715×add-sqr-sqrt
564×cbrt-prod
505×*-un-lft-identity
371×add-cube-cbrt
181×associate-*r*
117×associate-*l*
67×distribute-lft-out-- difference-of-squares
63×add-exp-log
49×unswap-sqr
30×cbrt-undiv div-exp
28×div-inv
27×add-cbrt-cube
22×associate-/r*
19×associate-/r/
18×cbrt-div
15×prod-exp cbrt-unprod
9×flip3-- flip--
8×associate-/l*
6×pow1
4×add-log-exp
2×pow1/3 associate-/l/
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 628
Calls
4 calls:
0.0ms
(cbrt t)
1.0ms
(cbrt t)
304.0ms
(* (/ (cbrt (- y x)) (/ (* (cbrt t) (cbrt t)) (cbrt (- y x)))) (/ (cbrt (- y x)) (/ (cbrt t) z)))
15.0ms
(/ (cbrt (- y x)) (/ (cbrt t) z))

series841.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt t)
186.0ms
(cbrt t)
79.0ms
(* (/ (cbrt (- y x)) (/ (* (cbrt t) (cbrt t)) (cbrt (- y x)))) (/ (cbrt (- y x)) (/ (cbrt t) z)))
392.0ms
(/ (cbrt (- y x)) (/ (cbrt t) z))

simplify124.0ms

Algorithm
egg-herbie
Counts
640 → 640
Iterations

Useful iterations: 1 (42.0ms)

IterNodesCost
0245810505
1500110306

prune2.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes98.0ms

Accuracy

0% (2.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01616
11616

end0.0ms

sample794.0ms

Algorithm
intervals
Results
526.0ms10744×body80valid