Details

Time bar (total: 5.0s)

sample25.0ms

Algorithm
intervals
Results
8.0ms339×body80valid

simplify41.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1264
2464
3854
41274
51484
61654
72154
83034
93894
106024
117124
127914
137914

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
6.7b
(/ (* y (- z t)) a)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 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/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
20.0ms
(* y (- z t))
18.0ms
(/ (* y (- z t)) a)

series77.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* y (- z t))
43.0ms
(/ (* y (- z t)) a)

simplify34.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0231226
11033189
25002189

prune107.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
0.5b
(cbrt a)
4.6b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite67.0ms

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:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
60.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series609.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(cbrt a)
189.0ms
(cbrt a)
167.0ms
(cbrt a)
82.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify62.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0480918
12615741
25001706

prune325.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.6b
(cbrt (* (cbrt a) (cbrt a)))
0.6b
(cbrt (cbrt a))
4.6b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (* (cbrt (* (cbrt a) (cbrt a))) (cbrt (cbrt a)))))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log
28×add-cbrt-cube
17×add-sqr-sqrt
15×prod-exp cbrt-unprod
13×cbrt-prod *-un-lft-identity
12×cbrt-undiv div-exp
11×add-cube-cbrt
9×times-frac associate-*r*
7×associate-*l*
6×pow1
4×add-log-exp
3×pow1/3
2×div-inv unswap-sqr
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 82
Calls
4 calls:
4.0ms
(cbrt a)
9.0ms
(cbrt (* (cbrt a) (cbrt a)))
2.0ms
(cbrt (cbrt a))
89.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (* (cbrt (* (cbrt a) (cbrt a))) (cbrt (cbrt a)))))

series786.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt a)
269.0ms
(cbrt (* (cbrt a) (cbrt a)))
242.0ms
(cbrt (cbrt a))
93.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (* (cbrt (* (cbrt a) (cbrt a))) (cbrt (cbrt a)))))

simplify60.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
04541096
12330829
25001765

prune310.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

4.6b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))
7.2b
(cbrt (* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a))))
7.2b
(cbrt (* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a))))
7.2b
(cbrt (* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a))))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
40×times-frac
35×*-un-lft-identity
34×associate-*r*
25×add-exp-log
23×add-cube-cbrt
20×cbrt-prod
18×add-cbrt-cube
9×cbrt-div
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×frac-times associate-*r/ associate-*l/ add-log-exp
3×pow1/3
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 107
Calls
4 calls:
59.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))
27.0ms
(cbrt (* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a))))
30.0ms
(cbrt (* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a))))
27.0ms
(cbrt (* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a))))

series440.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))
117.0ms
(cbrt (* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a))))
122.0ms
(cbrt (* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a))))
116.0ms
(cbrt (* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a))))

simplify64.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05371302
126501148
250021089

prune443.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0b

regimes434.0ms

Accuracy

83% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 3.3b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02514
12514

end0.0ms

sample720.0ms

Algorithm
intervals
Results
273.0ms10700×body80valid