Details

Time bar (total: 4.2s)

sample21.0ms

Algorithm
intervals
Results
7.0ms325×body80valid

simplify123.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1314
2574
3914
41174
51364
61584
72124
84214
98804
1017524
1130214
1245414
1350014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.6b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 distribute-rgt-in sub-neg associate-+l+ distribute-lft-in add-log-exp
2×frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 57
Calls
2 calls:
15.0ms
(+ (* (/ x y) (- z t)) t)
27.0ms
(* (/ x y) (- z t))

series91.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(+ (* (/ x y) (- z t)) t)
56.0ms
(* (/ x y) (- z t))

simplify38.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0314342
11191302
25002302

prune137.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
0.8b
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
39×add-cbrt-cube
37×prod-exp cbrt-unprod
17×cbrt-undiv div-exp
9×pow1 cbrt-prod frac-times associate-*r/
8×distribute-rgt-in add-sqr-sqrt add-cube-cbrt *-un-lft-identity distribute-lft-in
5×associate-*l*
4×sub-neg flip3-- flip-- add-log-exp
3×pow1/3 pow-prod-down associate-*l/
1×times-frac associate-*r* *-commutative div-inv
Counts
4 → 98
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
91.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

series599.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(cbrt y)
176.0ms
(cbrt y)
181.0ms
(cbrt y)
55.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

simplify84.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
05901382
13247864
25001677

prune242.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
0.8b
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)))) (- z t)))

rewrite144.0ms

Algorithm
rewrite-expression-head
Rules
106×add-exp-log
56×prod-exp cbrt-unprod
54×add-cbrt-cube
26×cbrt-undiv div-exp
9×pow1 cbrt-prod frac-times associate-*r/
8×distribute-rgt-in add-sqr-sqrt add-cube-cbrt *-un-lft-identity distribute-lft-in
5×associate-*l*
4×sub-neg flip3-- flip-- add-log-exp
3×pow1/3 pow-prod-down associate-*l/
1×times-frac associate-*r* *-commutative div-inv
Counts
4 → 108
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
136.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)))) (- z t)))

series613.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(cbrt y)
183.0ms
(cbrt y)
180.0ms
(cbrt y)
59.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)))) (- z t)))

simplify108.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (94.0ms)

IterNodesCost
07012259
138051575
250021396

prune309.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.8b
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
12.5b
(cbrt (/ x y))
12.5b
(cbrt (/ x y))
12.5b
(cbrt (/ x y))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod cbrt-div
29×frac-times
27×times-frac
25×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
19×associate-*r/
16×pow1 add-exp-log
13×associate-*l/
10×add-cbrt-cube
8×distribute-rgt-in flip3-- distribute-lft-in pow-prod-down prod-exp flip-- cbrt-unprod
4×sub-neg add-log-exp
3×pow1/3 div-inv
1×associate-*r* associate-*l* *-commutative
Counts
4 → 119
Calls
4 calls:
72.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))

series251.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
60.0ms
(cbrt (/ x y))
65.0ms
(cbrt (/ x y))
64.0ms
(cbrt (/ x y))

simplify49.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04781197
115531009
25001890

prune315.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes218.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01714
11714

end0.0ms

sample609.0ms

Algorithm
intervals
Results
256.0ms10588×body80valid