Details

Time bar (total: 3.8s)

sample19.0ms

Algorithm
intervals
Results
8.0ms338×body80valid

simplify100.0ms

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

prune5.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.3b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* (- y x) z) t))
0.0b
(* (- y x) z)
5.4b
(/ (* (- 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)
6.0ms
(/ (* (- y x) z) t)

series124.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(+ x (/ (* (- y x) z) t))
32.0ms
(* (- y x) z)
40.0ms
(/ (* (- y x) z) t)

simplify36.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0283314
11117267
25001267

prune135.0ms

Filtered
66 candidates to 45 candidates (68.2%)
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)))
7.1b
(/ (- y x) (/ t z))

rewrite43.0ms

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)))
10.0ms
(/ (- y x) (/ t z))

series99.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(+ x (/ (- y x) (/ t z)))
48.0ms
(/ (- y x) (/ t z))

simplify56.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0609959
12199914
25001913

prune243.0ms

Filtered
120 candidates to 85 candidates (70.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
3.2b
(/ (* (cbrt (- y x)) (cbrt (- y x))) (/ (* (cbrt t) (cbrt t)) (* (cbrt z) (cbrt z))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
19×add-cbrt-cube
18×cbrt-undiv div-exp
13×prod-exp cbrt-unprod
12×cbrt-div
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×associate-/l/
7×times-frac
6×flip3-- flip--
5×associate-/r*
4×pow1 frac-times add-log-exp
3×pow1/3 div-inv
2×associate-*r/ associate-*l/
1×frac-2neg clear-num associate-/r/ associate-/l*
Counts
4 → 83
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
24.0ms
(/ (* (cbrt (- y x)) (cbrt (- y x))) (/ (* (cbrt t) (cbrt t)) (* (cbrt z) (cbrt z))))

series788.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt z)
179.0ms
(cbrt z)
206.0ms
(cbrt z)
224.0ms
(/ (* (cbrt (- y x)) (cbrt (- y x))) (/ (* (cbrt t) (cbrt t)) (* (cbrt z) (cbrt z))))

simplify55.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05131016
12236786
25002707

prune482.0ms

Filtered
95 candidates to 68 candidates (71.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ 1 (/ (/ t z) (- y x))))
0.5b
(/ 1 (/ (/ t z) (- y x)))
6.9b
(/ (/ t z) (- y x))

rewrite142.0ms

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:
82.0ms
(+ x (/ 1 (/ (/ t z) (- y x))))
21.0ms
(/ 1 (/ (/ t z) (- y x)))
9.0ms
(/ (/ t z) (- y x))

series122.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(+ x (/ 1 (/ (/ t z) (- y x))))
48.0ms
(/ 1 (/ (/ t z) (- y x)))
40.0ms
(/ (/ t z) (- y x))

simplify65.0ms

Algorithm
egg-herbie
Counts
434 → 434
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
014134515
150013668

prune587.0ms

Filtered
434 candidates to 203 candidates (46.8%)
Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes108.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01921
11921

end0.0ms

sample534.0ms

Algorithm
intervals
Results
273.0ms10669×body80valid