Details

Time bar (total: 3.9s)

sample27.0ms

Algorithm
intervals
Results
14.0ms346×body80valid

simplify147.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1314
2574
3914
41174
51364
61584
72124
84214
98804
1016184
1129914
1247574
1350014

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: 3.6b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- z t)) t)
7.5b
(* (/ x y) (- z t))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
add-exp-log add-cbrt-cube
associate-*r*
pow1 distribute-rgt-in sub-neg associate-+l+ distribute-lft-in add-log-exp
frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 57
Calls
2 calls:
8.0ms
(+ (* (/ x y) (- z t)) t)
9.0ms
(* (/ x y) (- z t))

series87.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(+ (* (/ x y) (- z t)) t)
54.0ms
(* (/ x y) (- z t))

simplify38.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0314342
11191302
25002302

prune124.0ms

Filtered
63 candidates to 43 candidates (68.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New59463
Fresh000
Picked011
Done000
Total59564

Merged error: 0.0b

Counts
64 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
6.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series736.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(* (cbrt y) (cbrt y))
185.0ms
(cbrt x)
174.0ms
(cbrt x)
183.0ms
(cbrt x)

simplify75.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (70.0ms)

IterNodesCost
0129298
1454265
22124239
35002236

prune225.0ms

Filtered
85 candidates to 63 candidates (74.1%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh033
Picked011
Done011
Total85590

Merged error: 0.0b

Counts
90 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x (- z t)) y) t)
0.0b
(* x (- z t))
5.2b
(/ (* x (- z t)) y)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
add-cube-cbrt
pow1 associate-*r* add-log-exp
associate-*r/
times-frac associate-*l* associate-/r*
cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/
+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 61
Calls
3 calls:
8.0ms
(+ (/ (* x (- z t)) y) t)
6.0ms
(* x (- z t))
7.0ms
(/ (* x (- z t)) y)

series116.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(+ (/ (* x (- z t)) y) t)
38.0ms
(* x (- z t))
45.0ms
(/ (* x (- z t)) y)

simplify37.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0288331
11163295
25001283

prune114.0ms

Filtered
70 candidates to 44 candidates (62.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New68270
Fresh022
Picked011
Done112
Total69675

Merged error: 0b

Counts
75 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
5.2b
(/ (* (* x (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t))) y)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
32×associate-*r/
30×flip3-- flip--
28×frac-times
26×associate-/l/
18×add-exp-log
15×cbrt-prod add-sqr-sqrt *-un-lft-identity
14×associate-*l/
13×add-cbrt-cube
add-cube-cbrt
prod-exp cbrt-unprod
pow1 cbrt-undiv div-exp add-log-exp
times-frac pow1/3 associate-/r* distribute-lft-out-- difference-of-squares
frac-2neg clear-num div-inv associate-/l*
Counts
4 → 96
Calls
4 calls:
7.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))
21.0ms
(/ (* (* x (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t))) y)

series696.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(cbrt (- z t))
354.0ms
(cbrt (- z t))
151.0ms
(cbrt (- z t))
47.0ms
(/ (* (* x (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t))) y)

simplify53.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0407946
11508819
25001755

prune312.0ms

Filtered
108 candidates to 91 candidates (84.3%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1080108
Fresh033
Picked011
Done022
Total1086114

Merged error: 0b

Counts
114 → 6

regimes221.0ms

Accuracy

19.4% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 2.0b

bsearch85.0ms

Steps
ItersRangePoint
9
4.2552583328346754e-188
6.446413114432231e-180
3.806030543013192e-182
8
-3.8083956042812823
-0.0032486678138606887
-3.5283715450230493

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02512
12512

end0.0ms

sample637.0ms

Algorithm
intervals
Results
365.0ms10615×body80valid

Profiling

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