Details

Time bar (total: 3.4s)

analyze548.0ms

Algorithm
search

sample18.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms24×body80invalid

simplify50.0ms

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

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.6b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

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:
7.0ms
(/ (- x y) (- z y))
11.0ms
(* (/ (- x y) (- z y)) t)

series33.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ (- x y) (- z y))
24.0ms
(* (/ (- x y) (- z y)) t)

simplify96.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0360653
11125612
24514611
35001611

prune121.0ms

Filtered
72 candidates to 108 candidates (-50.0%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New999108
Fresh000
Picked101
Done000
Total1009109

Merged error: 0b

Counts
109 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
39×add-cbrt-cube
37×prod-exp cbrt-unprod
18×cbrt-div
17×cbrt-undiv div-exp
15×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
13×associate-*l*
9×pow1 flip3-- flip--
8×add-cube-cbrt associate-/r/
5×frac-times associate-*l/
4×add-log-exp
3×pow1/3 associate-*r/ pow-prod-down distribute-lft-out-- difference-of-squares
1×times-frac associate-*r* *-commutative div-inv
Counts
4 → 102
Calls
4 calls:
32.0ms
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (- z y)) (cbrt (- z y)))) (* (/ (cbrt (- x y)) (cbrt (- z y))) t))
3.0ms
(cbrt (- x y))
3.0ms
(cbrt (- x y))
3.0ms
(cbrt (- x y))

series101.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (- z y)) (cbrt (- z y)))) (* (/ (cbrt (- x y)) (cbrt (- z y))) t))
29.0ms
(cbrt (- x y))
25.0ms
(cbrt (- x y))
25.0ms
(cbrt (- x y))

simplify74.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
05641664
125521182
25001965

prune121.0ms

Filtered
71 candidates to 114 candidates (-60.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1131114
Fresh178
Picked101
Done000
Total1158123

Merged error: 0b

Counts
123 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z y) (- x y))
0.2b
(/ 1 (/ (- z y) (- x y)))
1.6b
(* (/ 1 (/ (- z y) (- x y))) t)

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
392×times-frac
335×add-sqr-sqrt
323×*-un-lft-identity
157×add-cube-cbrt
98×associate-*l*
82×distribute-lft-out-- difference-of-squares
36×associate-/r*
35×add-exp-log
19×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
9×flip3-- flip--
8×associate-/l*
7×cbrt-undiv prod-exp
6×pow1
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*r* cbrt-unprod add-log-exp
2×frac-2neg clear-num associate-/l/
1×pow-flip div-sub pow-prod-down associate-*l/ *-commutative inv-pow
Counts
3 → 326
Calls
3 calls:
7.0ms
(/ (- z y) (- x y))
11.0ms
(/ 1 (/ (- z y) (- x y)))
24.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

series57.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(/ (- z y) (- x y))
16.0ms
(/ 1 (/ (- z y) (- x y)))
32.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

simplify97.0ms

Algorithm
egg-herbie
Counts
335 → 335
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
08742678
141882392
250012169

prune221.0ms

Filtered
178 candidates to 335 candidates (-88.2%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New3323335
Fresh527
Picked101
Done000
Total3385343

Merged error: 0b

Counts
343 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z y) (- x y))
1.6b
(/ t (/ (- z y) (- x y)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×div-sub
Counts
2 → 194
Calls
2 calls:
7.0ms
(/ (- z y) (- x y))
11.0ms
(/ t (/ (- z y) (- x y)))

series34.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ (- z y) (- x y))
25.0ms
(/ t (/ (- z y) (- x y)))

simplify74.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
06331784
128631733
250011730

prune127.0ms

Filtered
133 candidates to 200 candidates (-50.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2000200
Fresh044
Picked011
Done000
Total2005205

Merged error: 0b

Counts
205 → 5

regimes233.0ms

Accuracy

0% (2.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084

end0.0ms

analyze733.0ms

Algorithm
search

sample461.0ms

Algorithm
intervals
Results
241.0ms8000×body80valid
18.0ms624×body80invalid

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