Details

Time bar (total: 5.6s)

sample18.0ms

Algorithm
intervals
Results
8.0ms282×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: 3.2b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
3.1b
(* (/ (- x y) (- z y)) t)

rewrite37.0ms

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))
23.0ms
(* (/ (- x y) (- z y)) t)

series138.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (- x y) (- z y))
92.0ms
(* (/ (- x y) (- z y)) t)

simplify94.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0360653
11125612
24528611
35002611

prune202.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (- z y))
0.0b
(- (/ x (- z y)) (/ y (- z y)))
0.0b
(/ y (- z y))
3.1b
(* (- (/ x (- z y)) (/ y (- z y))) t)

rewrite223.0ms

Algorithm
rewrite-expression-head
Rules
98×*-un-lft-identity
80×add-sqr-sqrt
66×times-frac
32×distribute-lft-out--
30×add-cube-cbrt
20×difference-of-squares
18×associate-*l*
12×associate-/r/
10×add-exp-log associate-/r* add-cbrt-cube
8×flip3-- flip--
6×pow1 distribute-rgt-out-- div-inv associate-/l* add-log-exp
4×associate-*l/
3×associate-*r*
2×cbrt-undiv frac-2neg div-exp clear-num frac-sub sub-div
1×sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 140
Calls
4 calls:
5.0ms
(/ x (- z y))
47.0ms
(- (/ x (- z y)) (/ y (- z y)))
5.0ms
(/ y (- z y))
160.0ms
(* (- (/ x (- z y)) (/ y (- z y))) t)

series262.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(/ x (- z y))
63.0ms
(- (/ x (- z y)) (/ y (- z y)))
44.0ms
(/ y (- z y))
127.0ms
(* (- (/ x (- z y)) (/ y (- z y))) t)

simplify101.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0376922
11210874
24313872
35002872

prune314.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z y))
0.5b
(cbrt (- z y))
0.5b
(* (cbrt (- z y)) (cbrt (- z y)))
3.1b
(* (- (/ (/ x (* (cbrt (- z y)) (cbrt (- z y)))) (cbrt (- z y))) (/ y (- z y))) t)

rewrite633.0ms

Algorithm
rewrite-expression-head
Rules
71×add-sqr-sqrt
45×*-un-lft-identity
42×cbrt-prod
24×associate-*l*
21×times-frac
16×add-cube-cbrt cbrt-div difference-of-squares
13×pow1
12×distribute-lft-out--
11×associate-*r*
10×swap-sqr
9×flip3-- flip--
8×add-exp-log pow1/3
6×add-cbrt-cube
5×associate-*l/ unswap-sqr
4×frac-times add-log-exp
3×pow-prod-down
2×associate-*r/ prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod
1×pow2 pow-plus frac-sub
Counts
4 → 120
Calls
4 calls:
2.0ms
(cbrt (- z y))
2.0ms
(cbrt (- z y))
20.0ms
(* (cbrt (- z y)) (cbrt (- z y)))
605.0ms
(* (- (/ (/ x (* (cbrt (- z y)) (cbrt (- z y)))) (cbrt (- z y))) (/ y (- z y))) t)

series544.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(cbrt (- z y))
144.0ms
(cbrt (- z y))
120.0ms
(* (cbrt (- z y)) (cbrt (- z y)))
122.0ms
(* (- (/ (/ x (* (cbrt (- z y)) (cbrt (- z y)))) (cbrt (- z y))) (/ y (- z y))) t)

simplify66.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
04331222
115821121
250011010

prune342.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.5b
(cbrt t)
0.7b
(* (* (* (cbrt t) (cbrt t)) (+ (- (/ y (- z y))) (/ x (- z y)))) (cbrt t))
2.5b
(* (* (cbrt t) (cbrt t)) (+ (- (/ y (- z y))) (/ x (- z y))))

rewrite597.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
21×associate-*r*
18×pow1 add-exp-log
16×add-sqr-sqrt
14×times-frac
11×add-cube-cbrt add-cbrt-cube
9×cbrt-prod pow-prod-down prod-exp cbrt-unprod distribute-lft-out
8×distribute-rgt-neg-in
6×associate-*r/
4×associate-/r/ distribute-lft-out-- add-log-exp
3×distribute-lft-neg-in distribute-rgt-out associate-*l/
2×flip3-- flip3-+ pow1/3 associate-*l* frac-add *-commutative flip-- flip-+ div-inv distribute-neg-frac difference-of-squares
1×distribute-rgt-in distribute-lft-in unswap-sqr
Counts
4 → 85
Calls
4 calls:
0.0ms
(cbrt t)
0.0ms
(cbrt t)
318.0ms
(* (* (* (cbrt t) (cbrt t)) (+ (- (/ y (- z y))) (/ x (- z y)))) (cbrt t))
274.0ms
(* (* (cbrt t) (cbrt t)) (+ (- (/ y (- z y))) (/ x (- z y))))

series1.0s

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt t)
172.0ms
(cbrt t)
154.0ms
(* (* (* (cbrt t) (cbrt t)) (+ (- (/ y (- z y))) (/ x (- z y)))) (cbrt t))
512.0ms
(* (* (cbrt t) (cbrt t)) (+ (- (/ y (- z y))) (/ x (- z y))))

simplify67.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0382890
12347683
25003632

prune234.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes120.0ms

Accuracy

-18.3% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.0b

bsearch77.0ms

Steps
ItersRangePoint
10
4.734590495924167e-35
8.19888997040516e-22
6.825150859471012e-35
10
-4.698720960877704e-64
-5.4709755232795946e-74
-2.2386468483281167e-67

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02310
12310

end0.0ms

sample456.0ms

Algorithm
intervals
Results
235.0ms8726×body80valid