Details

Time bar (total: 8.0s)

sample19.0ms

Algorithm
intervals
Results
8.0ms270×body80valid

simplify62.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0195
1405
2805
31745
43695
55035
67695
711915
814515
916065
1016065

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ x (* (- y z) (- y t))))
0.0b
(* (- y z) (- y t))
8.4b
(/ x (* (- y z) (- y t)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×flip3-- *-un-lft-identity flip--
10×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
7×add-cube-cbrt
5×pow1 associate-*r* associate-*l* add-log-exp
4×associate-*r/ associate-*l/
3×sub-neg times-frac associate-/l* distribute-lft-out-- difference-of-squares
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp prod-exp cbrt-unprod
1×frac-2neg diff-log pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
3 → 77
Calls
3 calls:
8.0ms
(- 1.0 (/ x (* (- y z) (- y t))))
9.0ms
(* (- y z) (- y t))
9.0ms
(/ x (* (- y z) (- y t)))

series162.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(- 1.0 (/ x (* (- y z) (- y t))))
27.0ms
(* (- y z) (- y t))
63.0ms
(/ x (* (- y z) (- y t)))

simplify44.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0361530
11551485
25001485

prune212.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (* (/ 1 (- y z)) (/ x (- y t))))
0.0b
(/ 1 (- y z))
0.0b
(/ x (- y t))
1.6b
(* (/ 1 (- y z)) (/ x (- y t)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
87×add-sqr-sqrt
72×*-un-lft-identity
67×times-frac
42×add-cube-cbrt
32×add-exp-log
21×associate-*r* associate-*l*
20×add-cbrt-cube
14×distribute-lft-out-- difference-of-squares
11×div-exp
10×associate-/r*
8×prod-exp associate-/r/
7×pow1
6×cbrt-undiv associate-/l* add-log-exp unswap-sqr
5×flip3-- flip--
4×cbrt-unprod div-inv
3×rec-exp 1-exp
2×frac-2neg clear-num
1×frac-times sub-neg pow-flip diff-log associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
4 → 162
Calls
4 calls:
3.0ms
(- 1.0 (* (/ 1 (- y z)) (/ x (- y t))))
6.0ms
(/ 1 (- y z))
5.0ms
(/ x (- y t))
20.0ms
(* (/ 1 (- y z)) (/ x (- y t)))

series261.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(- 1.0 (* (/ 1 (- y z)) (/ x (- y t))))
39.0ms
(/ 1 (- y z))
28.0ms
(/ x (- y t))
131.0ms
(* (/ 1 (- y z)) (/ x (- y t)))

simplify67.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05801034
12660919
25002887

prune365.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))
0.6b
(* (/ 1 (* (cbrt (- y z)) (cbrt (- y z)))) (/ (/ x (- y t)) (cbrt (- y z))))
1.1b
(/ (/ x (- y t)) (cbrt (- y z)))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
622×times-frac
483×add-sqr-sqrt
445×*-un-lft-identity
248×add-cube-cbrt
231×cbrt-prod
174×associate-*r*
96×distribute-lft-out-- difference-of-squares
87×add-exp-log
46×associate-/r/
36×div-exp
31×add-cbrt-cube
30×prod-exp
27×flip3-- flip--
21×associate-/l*
20×cbrt-div div-inv
18×cbrt-undiv
15×associate-*l* unswap-sqr
12×cbrt-unprod
8×associate-/r*
6×pow1 rec-exp 1-exp
5×frac-times
4×add-log-exp
3×associate-*r/ associate-*l/
2×pow1/3
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l/
Counts
4 → 490
Calls
4 calls:
3.0ms
(cbrt (- y z))
3.0ms
(cbrt (- y z))
81.0ms
(* (/ 1 (* (cbrt (- y z)) (cbrt (- y z)))) (/ (/ x (- y t)) (cbrt (- y z))))
14.0ms
(/ (/ x (- y t)) (cbrt (- y z)))

series572.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(cbrt (- y z))
153.0ms
(cbrt (- y z))
128.0ms
(* (/ 1 (* (cbrt (- y z)) (cbrt (- y z)))) (/ (/ x (- y t)) (cbrt (- y z))))
136.0ms
(/ (/ x (- y t)) (cbrt (- y z)))

simplify92.0ms

Algorithm
egg-herbie
Counts
502 → 502
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
018376738
150016477

prune1.5s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))
0.6b
(cbrt (- y z))
0.8b
(* (/ (* (/ 1 (* (cbrt (- y z)) (cbrt (- y z)))) (* (cbrt x) (cbrt x))) (* (cbrt (cbrt (- y z))) (cbrt (cbrt (- y z))))) (/ (/ (cbrt x) (- y t)) (cbrt (cbrt (- y z)))))

rewrite241.0ms

Algorithm
rewrite-expression-head
Rules
742×times-frac
660×cbrt-prod
604×add-exp-log
549×add-sqr-sqrt
514×*-un-lft-identity
402×associate-*r*
304×add-cube-cbrt
300×prod-exp
231×div-exp
145×add-cbrt-cube
132×cbrt-unprod
111×cbrt-undiv
105×distribute-lft-out-- difference-of-squares
34×cbrt-div
32×associate-/r/
24×rec-exp 1-exp
21×flip3-- flip--
13×associate-*l* div-inv
10×unswap-sqr
6×pow1
5×frac-times
4×add-log-exp
3×pow1/3 associate-*r/ associate-*l/
1×pow-prod-down *-commutative
Counts
4 → 620
Calls
4 calls:
3.0ms
(cbrt (- y z))
3.0ms
(cbrt (- y z))
3.0ms
(cbrt (- y z))
169.0ms
(* (/ (* (/ 1 (* (cbrt (- y z)) (cbrt (- y z)))) (* (cbrt x) (cbrt x))) (* (cbrt (cbrt (- y z))) (cbrt (cbrt (- y z))))) (/ (/ (cbrt x) (- y t)) (cbrt (cbrt (- y z)))))

series631.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(cbrt (- y z))
167.0ms
(cbrt (- y z))
153.0ms
(cbrt (- y z))
160.0ms
(* (/ (* (/ 1 (* (cbrt (- y z)) (cbrt (- y z)))) (* (cbrt x) (cbrt x))) (* (cbrt (cbrt (- y z))) (cbrt (cbrt (- y z))))) (/ (/ (cbrt x) (- y t)) (cbrt (cbrt (- y z)))))

simplify191.0ms

Algorithm
egg-herbie
Counts
632 → 632
Iterations

Useful iterations: 1 (61.0ms)

IterNodesCost
0374917779
1500217035

prune2.7s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes160.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02527
12527

end0.0ms

sample471.0ms

Algorithm
intervals
Results
258.0ms8452×body80valid