Details

Time bar (total: 8.0s)

sample24.0ms

Algorithm
intervals
Results
9.0ms280×body80valid

simplify63.0ms

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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.6b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* (- y z) t) (- a z)))
0.0b
(* (- y z) t)
11.7b
(/ (* (- 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
(+ x (/ (* (- y z) t) (- a z)))
10.0ms
(* (- y z) t)
9.0ms
(/ (* (- y z) t) (- a z))

series168.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(+ x (/ (* (- y z) t) (- a z)))
27.0ms
(* (- y z) t)
65.0ms
(/ (* (- y z) t) (- a z))

simplify47.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0326368
11401329
25001329

prune174.0ms

Filtered
72 candidates to 52 candidates (72.2%)
Pruning

8 alts after pruning (7 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))
3.3b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

rewrite74.0ms

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))
63.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

series535.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(cbrt (- a z))
140.0ms
(cbrt (- a z))
146.0ms
(cbrt (- a z))
95.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

simplify76.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
06071409
125871256
250011191

prune467.0ms

Filtered
134 candidates to 107 candidates (79.9%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

1.6b
(* (cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z))))) (/ t (cbrt (- a z))))
1.9b
(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))
1.9b
(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))
1.9b
(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
92×cbrt-prod
66×add-sqr-sqrt
55×cbrt-div
53×times-frac
42×*-un-lft-identity
34×associate-/r/
30×associate-*r*
28×add-cube-cbrt
25×flip3-- flip--
20×associate-*l*
17×frac-times
9×add-exp-log associate-*r/ associate-*l/ unswap-sqr
7×distribute-lft-out-- difference-of-squares
6×pow1 add-cbrt-cube
5×div-inv
4×add-log-exp
3×pow1/3
2×prod-exp cbrt-unprod
1×cbrt-undiv div-exp pow-prod-down *-commutative
Counts
4 → 153
Calls
4 calls:
43.0ms
(* (cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z))))) (/ t (cbrt (- a z))))
10.0ms
(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))
13.0ms
(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))
10.0ms
(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))

series2.4s

Counts
4 → 12
Calls
4 calls:
1.4s
(* (cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z))))) (/ t (cbrt (- a z))))
350.0ms
(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))
350.0ms
(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))
358.0ms
(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))

simplify63.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
06192394
119082310
250012298

prune737.0ms

Filtered
165 candidates to 139 candidates (84.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

1.1b
(* (* (cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z))))) (cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))) (* (* (cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (* (cbrt t) (cbrt t)) (cbrt (* (cbrt (- a z)) (cbrt (- a z)))))) (/ (cbrt t) (cbrt (cbrt (- a z))))))
1.9b
(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))
1.9b
(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))
1.9b
(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))

rewrite305.0ms

Algorithm
rewrite-expression-head
Rules
97×add-exp-log
87×cbrt-div
61×frac-times
59×prod-exp cbrt-unprod
51×cbrt-prod
37×associate-*l/
35×add-cbrt-cube
33×associate-*r/
25×pow1
24×associate-/r/
18×flip3-- flip--
16×cbrt-undiv add-sqr-sqrt *-un-lft-identity div-exp
15×times-frac pow-prod-down
10×add-cube-cbrt
4×add-log-exp
3×pow1/3 div-inv distribute-lft-out-- difference-of-squares
1×associate-*r* associate-*l* *-commutative
Counts
4 → 161
Calls
4 calls:
268.0ms
(* (* (cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z))))) (cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))) (* (* (cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (* (cbrt t) (cbrt t)) (cbrt (* (cbrt (- a z)) (cbrt (- a z)))))) (/ (cbrt t) (cbrt (cbrt (- a z))))))
9.0ms
(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))
10.0ms
(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))
10.0ms
(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))

series1.2s

Counts
4 → 12
Calls
4 calls:
130.0ms
(* (* (cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z))))) (cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))) (* (* (cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (* (cbrt t) (cbrt t)) (cbrt (* (cbrt (- a z)) (cbrt (- a z)))))) (/ (cbrt t) (cbrt (cbrt (- a z))))))
353.0ms
(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))
362.0ms
(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))
349.0ms
(cbrt (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))

simplify121.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
09265325
136124170
250023678

prune641.0ms

Filtered
173 candidates to 101 candidates (58.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes164.0ms

Accuracy

0% (1.8b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02644
12644

end0.0ms

sample556.0ms

Algorithm
intervals
Results
274.0ms8736×body80valid
0.0ms1×body1280valid
0.0ms1×body160valid