Details

Time bar (total: 5.3s)

sample28.0ms

Algorithm
intervals
Results
16.0ms350×body80valid

simplify109.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1254
2454
3844
41254
51494
61704
72844
84914
98244
1013444
1125764
1238734
1350014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (/ (* y (- z x)) t))
6.9b
(/ (* y (- z x)) t)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- 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* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 61
Calls
3 calls:
10.0ms
(* y (- z x))
7.0ms
(+ x (/ (* y (- z x)) t))
6.0ms
(/ (* y (- z x)) t)

series121.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(* y (- z x))
40.0ms
(+ x (/ (* y (- z x)) t))
47.0ms
(/ (* y (- z x)) t)

simplify41.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0290325
11223280
25001280

prune342.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.5b
(cbrt t)
0.5b
(cbrt t)
5.1b
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 104
Calls
4 calls:
0.0ms
(cbrt t)
0.0ms
(cbrt t)
0.0ms
(cbrt t)
35.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series623.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt t)
176.0ms
(cbrt t)
180.0ms
(cbrt t)
92.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

simplify70.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0480918
12615741
25001706

prune320.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

1.4b
(* (cbrt (/ y (* (cbrt t) (cbrt t)))) (/ (- z x) (cbrt t)))
8.6b
(cbrt (/ y (* (cbrt t) (cbrt t))))
8.6b
(cbrt (/ y (* (cbrt t) (cbrt t))))
8.6b
(cbrt (/ y (* (cbrt t) (cbrt t))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
52×cbrt-prod
51×times-frac
42×*-un-lft-identity
34×associate-*r*
30×add-cube-cbrt
10×associate-*l*
9×add-exp-log unswap-sqr
6×pow1 add-cbrt-cube distribute-lft-out-- difference-of-squares
5×cbrt-div div-inv
4×add-log-exp
3×pow1/3
2×prod-exp cbrt-unprod
1×cbrt-undiv frac-times associate-*r/ div-exp pow-prod-down associate-*l/ *-commutative
Counts
4 → 117
Calls
4 calls:
28.0ms
(* (cbrt (/ y (* (cbrt t) (cbrt t)))) (/ (- z x) (cbrt t)))
3.0ms
(cbrt (/ y (* (cbrt t) (cbrt t))))
3.0ms
(cbrt (/ y (* (cbrt t) (cbrt t))))
7.0ms
(cbrt (/ y (* (cbrt t) (cbrt t))))

series971.0ms

Counts
4 → 12
Calls
4 calls:
528.0ms
(* (cbrt (/ y (* (cbrt t) (cbrt t)))) (/ (- z x) (cbrt t)))
150.0ms
(cbrt (/ y (* (cbrt t) (cbrt t))))
145.0ms
(cbrt (/ y (* (cbrt t) (cbrt t))))
148.0ms
(cbrt (/ y (* (cbrt t) (cbrt t))))

simplify53.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04161324
116321248
250011241

prune482.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

8.6b
(cbrt (/ y (* (cbrt t) (cbrt t))))
8.6b
(cbrt (/ y (* (cbrt t) (cbrt t))))
8.6b
(cbrt (/ y (* (cbrt t) (cbrt t))))
8.6b
(cbrt (/ y (* (cbrt t) (cbrt t))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-prod
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
4×pow1 add-exp-log cbrt-div pow1/3 add-cbrt-cube div-inv add-log-exp
Counts
4 → 64
Calls
4 calls:
3.0ms
(cbrt (/ y (* (cbrt t) (cbrt t))))
3.0ms
(cbrt (/ y (* (cbrt t) (cbrt t))))
4.0ms
(cbrt (/ y (* (cbrt t) (cbrt t))))
7.0ms
(cbrt (/ y (* (cbrt t) (cbrt t))))

series587.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(cbrt (/ y (* (cbrt t) (cbrt t))))
153.0ms
(cbrt (/ y (* (cbrt t) (cbrt t))))
147.0ms
(cbrt (/ y (* (cbrt t) (cbrt t))))
142.0ms
(cbrt (/ y (* (cbrt t) (cbrt t))))

simplify70.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 4 (63.0ms)

IterNodesCost
078608
1155564
2479556
31973556
45001552

prune314.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes217.0ms

Accuracy

67.2% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 3.0b

bsearch2.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02416
12416

end0.0ms

sample778.0ms

Algorithm
intervals
Results
505.0ms10668×body80valid