Details

Time bar (total: 4.3s)

sample20.0ms

Algorithm
intervals
Results
9.0ms285×body80valid

simplify56.0ms

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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.0b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
2.9b
(* (/ (- x y) (- z y)) t)

rewrite26.0ms

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:
8.0ms
(/ (- x y) (- z y))
13.0ms
(* (/ (- x y) (- z y)) t)

series149.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ (- x y) (- z y))
98.0ms
(* (/ (- x y) (- z y)) t)

simplify102.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0360653
11125612
24514611
35001611

prune203.0ms

Filtered
108 candidates to 72 candidates (66.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1017108
Fresh000
Picked101
Done000
Total1027109

Merged error: 0.0b

Counts
109 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- z y)) (/ y (- z y)))
0.0b
(/ x (- z y))
0.0b
(/ y (- z y))
2.9b
(* (- (/ x (- z y)) (/ y (- z y))) t)

rewrite83.0ms

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:
33.0ms
(- (/ x (- z y)) (/ y (- z y)))
6.0ms
(/ x (- z y))
5.0ms
(/ y (- z y))
33.0ms
(* (- (/ x (- z y)) (/ y (- z y))) t)

series278.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(- (/ x (- z y)) (/ y (- z y)))
29.0ms
(/ x (- z y))
49.0ms
(/ y (- z y))
133.0ms
(* (- (/ x (- z y)) (/ y (- z y))) t)

simplify109.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0376922
11210874
24299872
35001872

prune271.0ms

Filtered
152 candidates to 112 candidates (73.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1511152
Fresh156
Picked011
Done000
Total1527159

Merged error: 0.0b

Counts
159 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x y))
0.5b
(cbrt (- x y))
0.6b
(* (cbrt (- x y)) (cbrt (- x y)))
6.8b
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
63×add-exp-log
38×cbrt-prod
36×add-sqr-sqrt
34×*-un-lft-identity
32×prod-exp
31×add-cbrt-cube
19×cbrt-unprod
17×div-exp
16×pow1 add-cube-cbrt cbrt-div
15×associate-*l*
10×swap-sqr
9×cbrt-undiv associate-*r*
8×flip3-- pow1/3 flip-- distribute-lft-out--
6×1-exp difference-of-squares
5×frac-times pow-prod-down associate-*l/
4×add-log-exp unswap-sqr
3×times-frac associate-*r/
2×pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus div-inv
Counts
4 → 131
Calls
4 calls:
3.0ms
(cbrt (- x y))
3.0ms
(cbrt (- x y))
11.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
21.0ms
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

series527.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(cbrt (- x y))
147.0ms
(cbrt (- x y))
127.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
99.0ms
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

simplify86.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
05751327
127121085
25001929

prune284.0ms

Filtered
143 candidates to 85 candidates (59.4%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1421143
Fresh055
Picked011
Done011
Total1428150

Merged error: 0.0b

Counts
150 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (- x y)) (cbrt (- x y)))
0.6b
(* (cbrt (- x y)) (cbrt (- x y)))
0.6b
(* (cbrt (- x y)) (cbrt (- x y)))
6.8b
(* (/ (* (* (cbrt (* (cbrt (- x y)) (cbrt (- x y)))) (cbrt (* (cbrt (- x y)) (cbrt (- x y))))) (cbrt (* (cbrt (- x y)) (cbrt (- x y))))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
100×add-exp-log
84×cbrt-prod
78×add-sqr-sqrt
72×*-un-lft-identity
56×prod-exp
42×add-cbrt-cube
36×cbrt-div
32×cbrt-unprod
31×associate-*l*
30×pow1 add-cube-cbrt swap-sqr
25×div-exp associate-*r*
18×flip3-- pow1/3 flip-- distribute-lft-out--
13×cbrt-undiv frac-times
12×difference-of-squares unswap-sqr
9×1-exp pow-prod-down associate-*l/
7×associate-*r/
6×pow-sqr pow-prod-up
4×*-commutative add-log-exp
3×pow2 times-frac pow-plus
1×div-inv
Counts
4 → 222
Calls
4 calls:
11.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
11.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
11.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
21.0ms
(* (/ (* (* (cbrt (* (cbrt (- x y)) (cbrt (- x y)))) (cbrt (* (cbrt (- x y)) (cbrt (- x y))))) (cbrt (* (cbrt (- x y)) (cbrt (- x y))))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

series486.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
126.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
126.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
106.0ms
(* (/ (* (* (cbrt (* (cbrt (- x y)) (cbrt (- x y)))) (cbrt (* (cbrt (- x y)) (cbrt (- x y))))) (cbrt (* (cbrt (- x y)) (cbrt (- x y))))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

simplify106.0ms

Algorithm
egg-herbie
Counts
234 → 234
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
05963104
130602167
250011899

prune540.0ms

Filtered
234 candidates to 127 candidates (54.3%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New2340234
Fresh055
Picked011
Done022
Total2348242

Merged error: 0.0b

Counts
242 → 8

regimes219.0ms

Accuracy

-6.8% (2.2b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.1b

bsearch62.0ms

Steps
ItersRangePoint
9
2.077673902912951e-202
2.239896321130058e-196
1.1623970160757314e-201
5
-8.219872477223495e-76
-2.2588538903332514e-76
-2.37883927314276e-76

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02310
12310

end0.0ms

sample500.0ms

Algorithm
intervals
Results
287.0ms8701×body80valid

Profiling

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