Details

Time bar (total: 4.9s)

sample23.0ms

Algorithm
intervals
Results
8.0ms339×body80valid

simplify109.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 5.9b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (/ (* y (- z x)) t))
7.1b
(/ (* y (- z x)) t)

rewrite50.0ms

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:
22.0ms
(* y (- z x))
10.0ms
(+ x (/ (* y (- z x)) t))
17.0ms
(/ (* y (- z x)) t)

series110.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(* y (- z x))
32.0ms
(+ x (/ (* y (- z x)) t))
45.0ms
(/ (* y (- z x)) t)

simplify38.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0290325
11223280
25001280

prune143.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
5.4b
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite72.0ms

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 t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
65.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series590.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(cbrt t)
169.0ms
(cbrt t)
166.0ms
(cbrt t)
84.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

simplify62.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0480918
12615741
25001706

prune352.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt t))
0.6b
(cbrt (cbrt t))
0.6b
(cbrt (cbrt t))
5.4b
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (* (* (cbrt (cbrt t)) (cbrt (cbrt t))) (cbrt (cbrt t)))))

rewrite154.0ms

Algorithm
rewrite-expression-head
Rules
58×add-exp-log
38×add-cbrt-cube
27×cbrt-prod
25×prod-exp cbrt-unprod
20×add-sqr-sqrt
17×cbrt-undiv div-exp
16×*-un-lft-identity
14×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 → 96
Calls
4 calls:
1.0ms
(cbrt (cbrt t))
1.0ms
(cbrt (cbrt t))
1.0ms
(cbrt (cbrt t))
145.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (* (* (cbrt (cbrt t)) (cbrt (cbrt t))) (cbrt (cbrt t)))))

series798.0ms

Counts
4 → 12
Calls
4 calls:
237.0ms
(cbrt (cbrt t))
237.0ms
(cbrt (cbrt t))
238.0ms
(cbrt (cbrt t))
86.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (* (* (cbrt (cbrt t)) (cbrt (cbrt t))) (cbrt (cbrt t)))))

simplify61.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
04651359
12379935
25002844

prune330.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (cbrt (cbrt t)) 3)
7.7b
(cbrt (/ y (* (cbrt t) (cbrt t))))
7.7b
(cbrt (/ y (* (cbrt t) (cbrt t))))
7.7b
(cbrt (/ y (* (cbrt t) (cbrt t))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
17×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down times-frac cube-prod
5×pow1 add-exp-log
4×pow1/3 add-cbrt-cube add-log-exp
3×pow-unpow cbrt-div div-inv
2×pow-pow
1×cube-mult pow-to-exp unpow3 pow-exp rem-cube-cbrt sqr-pow
Counts
4 → 84
Calls
4 calls:
5.0ms
(pow (cbrt (cbrt t)) 3)
7.0ms
(cbrt (/ y (* (cbrt t) (cbrt t))))
7.0ms
(cbrt (/ y (* (cbrt t) (cbrt t))))
7.0ms
(cbrt (/ y (* (cbrt t) (cbrt t))))

series701.0ms

Counts
4 → 12
Calls
4 calls:
284.0ms
(pow (cbrt (cbrt t)) 3)
142.0ms
(cbrt (/ y (* (cbrt t) (cbrt t))))
134.0ms
(cbrt (/ y (* (cbrt t) (cbrt t))))
141.0ms
(cbrt (/ y (* (cbrt t) (cbrt t))))

simplify36.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0205602
1950541
25001523

prune356.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes227.0ms

Accuracy

64.6% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.3b

bsearch2.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02520
12520

end0.0ms

sample623.0ms

Algorithm
intervals
Results
262.0ms10642×body80valid