Details

Time bar (total: 5.3s)

sample20.0ms

Algorithm
intervals
Results
8.0ms284×body80valid

simplify51.0ms

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: 13.6b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y z) t)
0.0b
(+ x (/ (* (- y z) t) (- a z)))
13.9b
(/ (* (- y z) t) (- a z))

rewrite31.0ms

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

series168.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(* (- y z) t)
72.0ms
(+ x (/ (* (- y z) t) (- a z)))
64.0ms
(/ (* (- y z) t) (- a z))

simplify41.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0326368
11401329
25001329

prune177.0ms

Pruning

7 alts after pruning (6 fresh and 1 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))
8.6b
(* (- y z) (/ t (- a z)))

rewrite37.0ms

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:
2.0ms
(+ x (* (- y z) (/ t (- a z))))
5.0ms
(/ t (- a z))
26.0ms
(* (- y z) (/ t (- a z)))

series169.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(+ x (* (- y z) (/ t (- a z))))
31.0ms
(/ t (- a z))
63.0ms
(* (- y z) (/ t (- a z)))

simplify45.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0365574
11604535
25002535

prune242.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a z) t)
0.0b
(+ x (/ (- y z) (/ (- a z) t)))
9.2b
(/ (- y z) (/ (- a z) t))

rewrite76.0ms

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:
7.0ms
(/ (- a z) t)
39.0ms
(+ x (/ (- y z) (/ (- a z) t)))
16.0ms
(/ (- y z) (/ (- a z) t))

series195.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ (- a z) t)
72.0ms
(+ x (/ (- y z) (/ (- a z) t)))
96.0ms
(/ (- y z) (/ (- a z) t))

simplify72.0ms

Algorithm
egg-herbie
Counts
197 → 197
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
07791717
129861664
250011664

prune456.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
3.5b
(/ (cbrt (- y z)) (/ (cbrt (- a z)) t))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
440×times-frac
318×add-sqr-sqrt *-un-lft-identity
295×cbrt-prod
200×add-cube-cbrt
59×distribute-lft-out-- difference-of-squares
28×associate-/r*
10×div-inv
9×add-exp-log
8×cbrt-div associate-/l*
6×add-cbrt-cube
4×pow1 flip3-- flip-- add-log-exp
3×cbrt-undiv pow1/3 div-exp
2×associate-/l/
1×frac-2neg clear-num associate-/r/
Counts
4 → 322
Calls
4 calls:
2.0ms
(cbrt (- a z))
2.0ms
(cbrt (- a z))
2.0ms
(cbrt (- a z))
19.0ms
(/ (cbrt (- y z)) (/ (cbrt (- a z)) t))

series1.5s

Counts
4 → 12
Calls
4 calls:
150.0ms
(cbrt (- a z))
143.0ms
(cbrt (- a z))
147.0ms
(cbrt (- a z))
1.0s
(/ (cbrt (- y z)) (/ (cbrt (- a z)) t))

simplify115.0ms

Algorithm
egg-herbie
Counts
334 → 334
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
010274535
139754445
250024273

prune1.1s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes211.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02633
12633

end0.0ms

sample522.0ms

Algorithm
intervals
Results
269.0ms8754×body80valid
0.0ms1×body320valid
0.0ms1×body160valid