Details

Time bar (total: 4.2s)

sample25.0ms

Algorithm
intervals
Results
9.0ms279×body80valid

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0175
1355
2605
3965
41405
51745
62025
72425
82895
93835
105235
118185
128615
138635
148635

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.6b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* (- y z) t) (- a z)))
0.0b
(* (- y z) t)
9.3b
(/ (* (- y z) t) (- a z))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 times-frac associate-*l* associate-/r* add-log-exp
4×associate-*l/
3×flip3-- associate-*r* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv div-exp prod-exp associate-/r/ 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* unswap-sqr
Counts
3 → 63
Calls
3 calls:
20.0ms
(+ x (/ (* (- y z) t) (- a z)))
24.0ms
(* (- y z) t)
23.0ms
(/ (* (- y z) t) (- a z))

series151.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(+ x (/ (* (- y z) t) (- a z)))
25.0ms
(* (- y z) t)
58.0ms
(/ (* (- y z) t) (- a z))

simplify40.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0326368
11401329
25001329

prune168.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (- y z) (/ t (- a z))))
0.0b
(/ t (- a z))
11.5b
(* (- y z) (/ t (- a z)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
39×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
21×associate-*r*
10×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×pow1 associate-*l* associate-/r* add-log-exp
4×flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv unswap-sqr
1×+-commutative frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 94
Calls
3 calls:
7.0ms
(+ x (* (- y z) (/ t (- a z))))
11.0ms
(/ t (- a z))
46.0ms
(* (- y z) (/ t (- a z)))

series151.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(+ x (* (- y z) (/ t (- a z))))
26.0ms
(/ t (- a z))
58.0ms
(* (- y z) (/ t (- a z)))

simplify45.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0365574
11604535
25002535

prune234.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (- y z) (/ (- a z) t)))
0.0b
(/ (- a z) t)
12.9b
(/ (- y z) (/ (- a z) t))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
200×times-frac
173×*-un-lft-identity
171×add-sqr-sqrt
87×add-cube-cbrt
42×distribute-lft-out-- difference-of-squares
22×associate-/r*
10×add-exp-log add-cbrt-cube associate-/l*
8×div-inv
5×add-log-exp
4×cbrt-undiv div-exp associate-/l/
3×pow1 div-sub
2×flip3-- frac-2neg clear-num flip--
1×+-commutative associate-+r- flip3-+ sum-log associate-/r/ flip-+ distribute-lft-out
Counts
3 → 188
Calls
3 calls:
58.0ms
(+ x (/ (- y z) (/ (- a z) t)))
16.0ms
(/ (- a z) t)
27.0ms
(/ (- y z) (/ (- a z) t))

series182.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(+ x (/ (- y z) (/ (- a z) t)))
27.0ms
(/ (- a z) t)
89.0ms
(/ (- y z) (/ (- a z) t))

simplify76.0ms

Algorithm
egg-herbie
Counts
197 → 197
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
07791717
129861664
250011664

prune445.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- a z) t)
0.0b
(- (/ y (/ (- a z) t)) (/ z (/ (- a z) t)))
6.9b
(/ y (/ (- a z) t))
10.7b
(/ z (/ (- a z) t))

rewrite290.0ms

Algorithm
rewrite-expression-head
Rules
359×times-frac
286×*-un-lft-identity
252×add-sqr-sqrt
148×add-cube-cbrt
66×distribute-lft-out--
43×difference-of-squares
41×associate-/r*
16×add-exp-log add-cbrt-cube
15×div-inv
11×associate-/l*
7×cbrt-undiv div-exp
6×add-log-exp
4×pow1 associate-/r/
3×frac-2neg clear-num
2×flip3-- distribute-rgt-out-- flip-- associate-/l/
1×sub-neg diff-log div-sub frac-sub sub-div
Counts
4 → 277
Calls
4 calls:
17.0ms
(/ (- a z) t)
224.0ms
(- (/ y (/ (- a z) t)) (/ z (/ (- a z) t)))
16.0ms
(/ y (/ (- a z) t))
16.0ms
(/ z (/ (- a z) t))

series287.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ (- a z) t)
116.0ms
(- (/ y (/ (- a z) t)) (/ z (/ (- a z) t)))
74.0ms
(/ y (/ (- a z) t))
74.0ms
(/ z (/ (- a z) t))

simplify89.0ms

Algorithm
egg-herbie
Counts
289 → 289
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
08722331
135322215
250012212

prune755.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes169.0ms

Accuracy

47.2% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 3.1b

bsearch80.0ms

Steps
ItersRangePoint
8
8.65486754777705e-106
6.645024379443293e-102
2.189217803459049e-102
11
-1.2294135169033585e+80
-1.3351524055470432e+58
-1.3575186714465478e+58

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03214
13214

end0.0ms

sample624.0ms

Algorithm
intervals
Results
244.0ms8733×body80valid