Details

Time bar (total: 6.2s)

sample18.0ms

Algorithm
intervals
Results
6.0ms278×body80valid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 2.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
2.0b
(* (/ (- x y) (- z y)) t)

rewrite72.0ms

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:
21.0ms
(/ (- x y) (- z y))
46.0ms
(* (/ (- x y) (- z y)) t)

series154.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(/ (- x y) (- z y))
101.0ms
(* (/ (- x y) (- z y)) t)

simplify91.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0360653
11125612
24528611
35002611

prune222.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y))))
3.5b
(cbrt (/ (- x y) (- z y)))
3.5b
(cbrt (/ (- x y) (- z y)))
3.5b
(cbrt (/ (- x y) (- z y)))

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
333×*-un-lft-identity
277×cbrt-prod
273×add-sqr-sqrt
229×times-frac
106×distribute-lft-out--
93×add-cube-cbrt
78×difference-of-squares
58×swap-sqr
34×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-- flip-- div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 276
Calls
4 calls:
113.0ms
(* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y))))
9.0ms
(cbrt (/ (- x y) (- z y)))
9.0ms
(cbrt (/ (- x y) (- z y)))
9.0ms
(cbrt (/ (- x y) (- z y)))

series1.3s

Counts
4 → 12
Calls
4 calls:
322.0ms
(* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y))))
321.0ms
(cbrt (/ (- x y) (- z y)))
316.0ms
(cbrt (/ (- x y) (- z y)))
308.0ms
(cbrt (/ (- x y) (- z y)))

simplify73.0ms

Algorithm
egg-herbie
Counts
288 → 288
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
05423638
117343570
250013366

prune728.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z y))
0.5b
(* (cbrt (- z y)) (cbrt (- z y)))
0.9b
(* (/ (- x y) (cbrt (- z y))) t)
5.9b
(* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (* (/ (- x y) (cbrt (- z y))) t))

rewrite260.0ms

Algorithm
rewrite-expression-head
Rules
89×add-exp-log
87×add-sqr-sqrt
77×*-un-lft-identity
69×associate-*l*
59×cbrt-prod
47×prod-exp
45×times-frac
35×add-cube-cbrt add-cbrt-cube
28×cbrt-div
21×cbrt-unprod
20×div-exp distribute-lft-out--
18×pow1 difference-of-squares
14×flip3-- flip--
12×associate-*r*
10×cbrt-undiv swap-sqr associate-/r/
9×frac-times
8×associate-*l/
7×pow1/3 unswap-sqr
6×rec-exp 1-exp pow-prod-down
5×associate-*r/
4×add-log-exp
3×*-commutative
2×pow-sqr pow-prod-up div-inv
1×pow2 pow-plus
Counts
4 → 196
Calls
4 calls:
4.0ms
(cbrt (- z y))
37.0ms
(* (cbrt (- z y)) (cbrt (- z y)))
51.0ms
(* (/ (- x y) (cbrt (- z y))) t)
156.0ms
(* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (* (/ (- x y) (cbrt (- z y))) t))

series699.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(cbrt (- z y))
129.0ms
(* (cbrt (- z y)) (cbrt (- z y)))
263.0ms
(* (/ (- x y) (cbrt (- z y))) t)
156.0ms
(* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (* (/ (- x y) (cbrt (- z y))) t))

simplify94.0ms

Algorithm
egg-herbie
Counts
208 → 208
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
08221918
134851615
250011447

prune449.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))
6.5b
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

rewrite113.0ms

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:
4.0ms
(cbrt (- x y))
4.0ms
(cbrt (- x y))
4.0ms
(cbrt (- x y))
97.0ms
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

series740.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(cbrt (- x y))
145.0ms
(cbrt (- x y))
352.0ms
(cbrt (- x y))
104.0ms
(* (/ (* (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 (49.0ms)

IterNodesCost
0471995
12120774
25001649

prune198.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes168.0ms

Accuracy

32.7% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.3b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02013
12213
22213

end0.0ms

sample496.0ms

Algorithm
intervals
Results
203.0ms8727×body80valid