Details

Time bar (total: 3.4s)

sample20.0ms

Algorithm
intervals
Results
9.0ms334×body80valid

simplify113.0ms

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: 6.7b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (* (- y x) z) t))
7.1b
(/ (* (- y x) z) t)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log add-cbrt-cube
*-un-lft-identity
add-sqr-sqrt add-cube-cbrt add-log-exp
times-frac associate-/r*
pow1 cbrt-undiv div-exp associate-*l/ associate-/l/
+-commutative flip3-- frac-2neg flip3-+ prod-exp clear-num sum-log flip-- cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
2 → 35
Calls
2 calls:
4.0ms
(+ x (/ (* (- y x) z) t))
7.0ms
(/ (* (- y x) z) t)

series80.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(+ x (/ (* (- y x) z) t))
41.0ms
(/ (* (- y x) z) t)

simplify104.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0232226
1879191
24863191
35003191

prune80.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) (/ t z)))
7.1b
(/ (- y x) (/ t z))

rewrite36.0ms

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*
add-exp-log add-cbrt-cube div-inv
associate-/l*
add-log-exp
cbrt-undiv div-exp
pow1 div-sub associate-/l/
+-commutative associate-+r- flip3-- frac-2neg flip3-+ clear-num sum-log associate-/r/ flip-- flip-+ distribute-lft-out
Counts
2 → 114
Calls
2 calls:
21.0ms
(+ x (/ (- y x) (/ t z)))
9.0ms
(/ (- y x) (/ t z))

series80.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(+ x (/ (- y x) (/ t z)))
43.0ms
(/ (- y x) (/ t z))

simplify58.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0609959
12199914
25001913

prune265.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) (/ t z)))
7.1b
(/ (- y x) (/ t z))

rewrite33.0ms

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*
add-exp-log add-cbrt-cube div-inv
associate-/l*
add-log-exp
cbrt-undiv div-exp
pow1 div-sub associate-/l/
+-commutative associate-+r- flip3-- frac-2neg flip3-+ clear-num sum-log associate-/r/ flip-- flip-+ distribute-lft-out
Counts
2 → 114
Calls
2 calls:
18.0ms
(+ x (/ (- y x) (/ t z)))
8.0ms
(/ (- y x) (/ t z))

series86.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(+ x (/ (- y x) (/ t z)))
44.0ms
(/ (- y x) (/ t z))

simplify57.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0609959
12199914
25001913

prune303.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ 1 (/ (/ t z) (- y x))))
0.5b
(/ 1 (/ (/ t z) (- y x)))
6.8b
(/ (/ t z) (- y x))

rewrite119.0ms

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/
cbrt-undiv
flip3-- flip-- add-log-exp
pow1
rec-exp 1-exp
frac-2neg clear-num distribute-lft-out
+-commutative pow-flip flip3-+ sum-log flip-+ associate-/l/ inv-pow
Counts
3 → 425
Calls
3 calls:
54.0ms
(+ x (/ 1 (/ (/ t z) (- y x))))
19.0ms
(/ 1 (/ (/ t z) (- y x)))
9.0ms
(/ (/ t z) (- y x))

series121.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(+ x (/ 1 (/ (/ t z) (- y x))))
53.0ms
(/ 1 (/ (/ t z) (- y x)))
35.0ms
(/ (/ t z) (- y x))

simplify256.0ms

Algorithm
egg-herbie
Counts
434 → 434
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
014134515
150013668

prune771.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes155.0ms

Accuracy

17% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.9b

bsearch69.0ms

Steps
ItersRangePoint
8
2.780260541998115e-99
8.372044962559322e-96
7.1678376332622984e-96
7
-3.0918972735339465e-108
-3.837993579385303e-110
-9.347021967343515e-109

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0279
1279

end0.0ms

sample539.0ms

Algorithm
intervals
Results
283.0ms10609×body80valid