Details

Time bar (total: 4.9s)

sample19.0ms

Algorithm
intervals
Results
8.0ms275×body80valid

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 13.3b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* (- y z) t) (- a z)))
0.0b
(* (- y z) t)
13.1b
(/ (* (- y z) t) (- a z))

rewrite34.0ms

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:
11.0ms
(+ x (/ (* (- y z) t) (- a z)))
11.0ms
(* (- y z) t)
11.0ms
(/ (* (- y z) t) (- a z))

series172.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(+ x (/ (* (- y z) t) (- a z)))
28.0ms
(* (- y z) t)
67.0ms
(/ (* (- y z) t) (- a z))

simplify41.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0326368
11401329
25001329

prune170.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
2.6b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
38×*-un-lft-identity
36×times-frac
32×cbrt-prod
30×associate-*r*
25×add-exp-log
24×add-cube-cbrt
20×cbrt-div
18×add-cbrt-cube
17×associate-*l*
10×flip3-- associate-/r/ flip--
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
6×pow1 unswap-sqr
5×frac-times
4×add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 122
Calls
4 calls:
2.0ms
(cbrt (- a z))
2.0ms
(cbrt (- a z))
2.0ms
(cbrt (- a z))
71.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

series561.0ms

Counts
4 → 12
Calls
4 calls:
161.0ms
(cbrt (- a z))
148.0ms
(cbrt (- a z))
152.0ms
(cbrt (- a z))
100.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

simplify73.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06071409
125871256
250031191

prune443.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
87×cbrt-prod
81×add-sqr-sqrt
76×times-frac
69×add-exp-log
52×cbrt-div
48×*-un-lft-identity
42×add-cbrt-cube
39×associate-*r*
34×add-cube-cbrt
29×associate-*l*
27×cbrt-undiv div-exp
24×prod-exp cbrt-unprod
18×associate-/r/
16×flip3-- flip--
12×unswap-sqr
9×frac-times
7×distribute-lft-out-- difference-of-squares
6×pow1
5×associate-*r/ associate-*l/
4×add-log-exp
3×pow1/3 div-inv
1×pow-prod-down *-commutative
Counts
4 → 174
Calls
4 calls:
3.0ms
(cbrt (cbrt (- a z)))
3.0ms
(cbrt (cbrt (- a z)))
3.0ms
(cbrt (cbrt (- a z)))
131.0ms
(* (/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (* (cbrt (cbrt (- a z))) (cbrt (cbrt (- a z))))) (/ t (cbrt (cbrt (- a z)))))

series576.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(cbrt (cbrt (- a z)))
159.0ms
(cbrt (cbrt (- a z)))
161.0ms
(cbrt (cbrt (- a z)))
104.0ms
(* (/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (* (cbrt (cbrt (- a z))) (cbrt (cbrt (- a z))))) (/ t (cbrt (cbrt (- a z)))))

simplify117.0ms

Algorithm
egg-herbie
Counts
186 → 186
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
09783394
147142933
250022854

prune808.0ms

Pruning

7 alts after pruning (4 fresh and 3 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)))
9.9b
(/ (- y z) (/ (- a z) t))

rewrite87.0ms

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:
8.0ms
(/ (- a z) t)
45.0ms
(+ x (/ (- y z) (/ (- a z) t)))
21.0ms
(/ (- y z) (/ (- a z) t))

series203.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ (- a z) t)
77.0ms
(+ x (/ (- y z) (/ (- a z) t)))
100.0ms
(/ (- y z) (/ (- a z) t))

simplify71.0ms

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

regimes237.0ms

Accuracy

73% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.7b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02926
12926

end0.0ms

sample505.0ms

Algorithm
intervals
Results
254.0ms8751×body80valid