Details

Time bar (total: 3.4s)

sample22.0ms

Algorithm
intervals
Results
8.0ms279×body80valid

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0175
1355
2605
3965
41405
51745
62025
72425
82895
93835
105235
118185
128615
138635
148635

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) t)
7.7b
(/ (* (- y z) t) (- a z))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
5×times-frac associate-*l* associate-/r*
4×pow1 associate-*l/
3×flip3-- associate-*r* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 51
Calls
2 calls:
21.0ms
(* (- y z) t)
25.0ms
(/ (* (- y z) t) (- a z))

series100.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* (- y z) t)
71.0ms
(/ (* (- y z) t) (- a z))

simplify36.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0256263
11188226
25001226

prune120.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- a z))
10.6b
(* (- y z) (/ t (- a z)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*r*
9×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×associate-*l* associate-/r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 83
Calls
2 calls:
12.0ms
(/ t (- a z))
43.0ms
(* (- y z) (/ t (- a z)))

series101.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ t (- a z))
67.0ms
(* (- y z) (/ t (- a z)))

simplify42.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0293474
11347437
25002437

prune199.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
2.1b
(* (- y z) (/ (* (cbrt t) (cbrt t)) (* (cbrt (- a z)) (cbrt (- a z)))))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×add-sqr-sqrt add-cbrt-cube
13×associate-*r*
12×cbrt-div
11×*-un-lft-identity
9×cbrt-prod add-cube-cbrt prod-exp cbrt-unprod
8×flip3-- associate-/r/ flip--
6×pow1 frac-times
5×associate-*l*
4×cbrt-undiv div-exp associate-*l/ add-log-exp
3×pow1/3 associate-*r/
2×times-frac unswap-sqr
1×pow-prod-down *-commutative div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 77
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
84.0ms
(* (- y z) (/ (* (cbrt t) (cbrt t)) (* (cbrt (- a z)) (cbrt (- a z)))))

series802.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(cbrt t)
183.0ms
(cbrt t)
180.0ms
(cbrt t)
251.0ms
(* (- y z) (/ (* (cbrt t) (cbrt t)) (* (cbrt (- a z)) (cbrt (- a z)))))

simplify60.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0516812
12221652
25002627

prune309.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a z))
0.2b
(* t (/ 1 (- a z)))
10.6b
(* (- y z) (* t (/ 1 (- a z))))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
31×add-exp-log
24×add-cube-cbrt
22×associate-*r*
19×add-cbrt-cube
13×prod-exp
11×pow1
8×associate-*l* distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×associate-*r/ div-exp
5×flip3-- associate-/r* flip--
4×frac-times pow-prod-down associate-/r/ un-div-inv
3×cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp unswap-sqr
2×associate-*l/ *-commutative div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 117
Calls
3 calls:
13.0ms
(/ 1 (- a z))
30.0ms
(* t (/ 1 (- a z)))
54.0ms
(* (- y z) (* t (/ 1 (- a z))))

series140.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ 1 (- a z))
36.0ms
(* t (/ 1 (- a z)))
68.0ms
(* (- y z) (* t (/ 1 (- a z))))

simplify46.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0373623
11596521
25001479

prune223.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes193.0ms

Accuracy

0% (0.9b 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
01917
11917

end0.0ms

sample596.0ms

Algorithm
intervals
Results
245.0ms8720×body80valid
0.0ms1×body640valid