Details

Time bar (total: 4.6s)

sample27.0ms

Algorithm
intervals
Results
16.0ms274×body80valid

simplify58.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0174
1254
2494
3724
41054
51224
61394
71494
81564
91604
101644
112594
122974
133194
144054
154744
165324
176264
187024
197114
207114

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
3.0b
(* (/ (- x y) (- z y)) t)

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*l*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*r* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
10.0ms
(/ (- x y) (- z y))
24.0ms
(* (/ (- x y) (- z y)) t)

series149.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (- x y) (- z y))
98.0ms
(* (/ (- x y) (- z y)) t)

simplify97.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0360653
11125612
24528611
35002611

prune216.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

3.0b
(* (* (* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y)))) (cbrt (/ (- x y) (- z y)))) t)
4.9b
(cbrt (/ (- x y) (- z y)))
4.9b
(cbrt (/ (- x y) (- z y)))
4.9b
(cbrt (/ (- x y) (- z y)))

rewrite277.0ms

Algorithm
rewrite-expression-head
Rules
98×add-sqr-sqrt *-un-lft-identity
93×cbrt-prod
75×times-frac
38×add-cube-cbrt
30×distribute-lft-out-- difference-of-squares
15×cbrt-div
13×pow1 add-exp-log
12×associate-*l/
9×add-cbrt-cube
6×pow-prod-down prod-exp associate-/r/ cbrt-unprod
5×frac-times
4×add-log-exp
3×flip3-- pow1/3 associate-*r/ associate-*r* flip-- div-inv
1×associate-*l* *-commutative
Counts
4 → 148
Calls
4 calls:
254.0ms
(* (* (* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y)))) (cbrt (/ (- x y) (- z y)))) t)
5.0ms
(cbrt (/ (- x y) (- z y)))
5.0ms
(cbrt (/ (- x y) (- z y)))
5.0ms
(cbrt (/ (- x y) (- z y)))

series1.1s

Counts
4 → 12
Calls
4 calls:
100.0ms
(* (* (* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y)))) (cbrt (/ (- x y) (- z y)))) t)
310.0ms
(cbrt (/ (- x y) (- z y)))
375.0ms
(cbrt (/ (- x y) (- z y)))
307.0ms
(cbrt (/ (- x y) (- z y)))

simplify55.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04461805
113111631
250011555

prune457.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x y))
0.5b
(cbrt (- x y))
0.5b
(cbrt (- x y))
4.8b
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
31×prod-exp add-cbrt-cube
18×cbrt-unprod
17×div-exp
15×cbrt-prod add-sqr-sqrt *-un-lft-identity
9×pow1 cbrt-undiv add-cube-cbrt
7×associate-*l*
6×cbrt-div 1-exp
4×add-log-exp
3×flip3-- times-frac pow1/3 pow-prod-down associate-*l/ flip-- distribute-lft-out-- difference-of-squares
1×frac-times associate-*r/ associate-*r* *-commutative div-inv
Counts
4 → 90
Calls
4 calls:
3.0ms
(cbrt (- x y))
4.0ms
(cbrt (- x y))
4.0ms
(cbrt (- x y))
89.0ms
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

series535.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(cbrt (- x y))
145.0ms
(cbrt (- x y))
146.0ms
(cbrt (- x y))
93.0ms
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

simplify60.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0471995
12120774
25001649

prune237.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- z y))
8.3b
(* (- x y) (/ t (- z y)))

rewrite35.0ms

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:
5.0ms
(/ t (- z y))
26.0ms
(* (- x y) (/ t (- z y)))

series96.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ t (- z y))
63.0ms
(* (- x y) (/ t (- z y)))

simplify39.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0293474
11347437
25002437

prune163.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes215.0ms

Accuracy

22.2% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 2.1b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02926
12926

end0.0ms

sample613.0ms

Algorithm
intervals
Results
403.0ms8725×body80valid