Details

Time bar (total: 4.7s)

sample27.0ms

Algorithm
intervals
Results
15.0ms282×body80valid

simplify50.0ms

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: 12.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* (- y z) t) (- a z)))
0.0b
(* (- y z) t)
12.0b
(/ (* (- 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:
13.0ms
(+ x (/ (* (- y z) t) (- a z)))
10.0ms
(* (- y z) t)
9.0ms
(/ (* (- y z) t) (- a z))

series160.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(+ x (/ (* (- y z) t) (- a z)))
30.0ms
(* (- y z) t)
60.0ms
(/ (* (- y z) t) (- a z))

simplify42.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0326368
11401329
25001329

prune161.0ms

Pruning

5 alts after pruning (4 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))
3.1b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

rewrite76.0ms

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))
65.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

series548.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(cbrt (- a z))
147.0ms
(cbrt (- a z))
153.0ms
(cbrt (- a z))
96.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

simplify68.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06071409
125871256
250031191

prune437.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
3.1b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (* (cbrt (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (cbrt (- a z))))))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
114×cbrt-div
40×add-exp-log
36×flip3-- flip--
34×associate-/r/
33×frac-times associate-*r*
28×add-cbrt-cube
23×add-sqr-sqrt
19×*-un-lft-identity
17×associate-*l* associate-*l/
15×cbrt-prod prod-exp cbrt-unprod
12×cbrt-undiv div-exp
11×add-cube-cbrt associate-*r/
9×times-frac
6×pow1
4×distribute-lft-out-- add-log-exp difference-of-squares
3×pow1/3
2×div-inv unswap-sqr
1×pow-prod-down *-commutative
Counts
4 → 127
Calls
4 calls:
2.0ms
(cbrt (- a z))
2.0ms
(cbrt (- a z))
2.0ms
(cbrt (- a z))
97.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (* (cbrt (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (cbrt (- a z))))))

series535.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(cbrt (- a z))
142.0ms
(cbrt (- a z))
146.0ms
(cbrt (- a z))
95.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (* (cbrt (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (cbrt (- a z))))))

simplify82.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
07792281
132411957
250011942

prune550.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (- y z) (/ (- a z) t)))
0.0b
(/ (- a z) t)
10.8b
(/ (- y z) (/ (- a z) t))

rewrite75.0ms

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:
43.0ms
(+ x (/ (- y z) (/ (- a z) t)))
7.0ms
(/ (- a z) t)
14.0ms
(/ (- y z) (/ (- a z) t))

series194.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(+ x (/ (- y z) (/ (- a z) t)))
30.0ms
(/ (- a z) t)
96.0ms
(/ (- y z) (/ (- a z) t))

simplify74.0ms

Algorithm
egg-herbie
Counts
197 → 197
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
07791717
129861664
250011664

prune436.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes216.0ms

Accuracy

49.4% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 2.0b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02518
12518

end0.0ms

sample747.0ms

Algorithm
intervals
Results
485.0ms8714×body80valid
0.0ms3×body160valid
0.0ms1×body1280valid
0.0ms1×body640valid