Details

Time bar (total: 3.5s)

sample22.0ms

Algorithm
intervals
Results
11.0ms338×body80valid

simplify121.0ms

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: 2.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- z t)) t)
6.4b
(* (/ x y) (- z t))

rewrite23.0ms

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:
7.0ms
(+ (* (/ x y) (- z t)) t)
15.0ms
(* (/ x y) (- z t))

series83.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ (* (/ x y) (- z t)) t)
51.0ms
(* (/ x y) (- z t))

simplify33.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0314342
11191302
25002302

prune126.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
1.0b
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

rewrite56.0ms

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:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)
50.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

series582.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt x)
176.0ms
(cbrt x)
180.0ms
(cbrt x)
50.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

simplify88.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
05901382
13215872
25001717

prune243.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
2.2b
(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
5×pow1 sqrt-prod
4×add-exp-log add-cbrt-cube add-log-exp
3×pow1/3
2×rem-sqrt-square times-frac
1×sqrt-pow1 pow1/2 sqrt-div div-inv
Counts
4 → 50
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
0.0ms
(cbrt x)
7.0ms
(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

series585.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt x)
174.0ms
(cbrt x)
177.0ms
(cbrt x)
62.0ms
(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

simplify74.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 4 (70.0ms)

IterNodesCost
0113280
1245258
2727252
32887247
45001228

prune251.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* t (/ x y)))
0.0b
(+ (* z (/ x y)) (- t (* t (/ x y))))
4.0b
(* z (/ x y))
4.9b
(* t (/ x y))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
26×associate-*r*
20×add-cube-cbrt *-un-lft-identity times-frac
14×add-exp-log add-cbrt-cube
11×add-log-exp
8×pow1
6×associate-*l*
4×associate-*r/ prod-exp cbrt-unprod unswap-sqr
2×cbrt-undiv sub-neg associate-+r+ flip3-- diff-log div-exp pow-prod-down frac-add sum-log *-commutative flip-- div-inv
1×+-commutative associate-+r- flip3-+ flip-+
Counts
4 → 93
Calls
4 calls:
2.0ms
(- t (* t (/ x y)))
7.0ms
(+ (* z (/ x y)) (- t (* t (/ x y))))
7.0ms
(* z (/ x y))
7.0ms
(* t (/ x y))

series114.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(- t (* t (/ x y)))
36.0ms
(+ (* z (/ x y)) (- t (* t (/ x y))))
19.0ms
(* z (/ x y))
30.0ms
(* t (/ x y))

simplify55.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0428530
12114490
25001477

prune218.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes155.0ms

Accuracy

0% (1.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02120
12120

end0.0ms

sample551.0ms

Algorithm
intervals
Results
283.0ms10733×body80valid