Details

Time bar (total: 2.4s)

sample33.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
4.0ms256×pre80true
4.0ms252×pre80false

simplify49.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1477
21067
32657
414957
550017

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 16.0b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
15.5b
(/ (- (* a a) (* b b)) (* a a))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log add-cbrt-cube
6×add-sqr-sqrt
5×add-cube-cbrt *-un-lft-identity
4×times-frac associate-/l*
3×pow1 sqrt-prod
2×cbrt-undiv div-exp associate-/l/ add-log-exp difference-of-squares
1×rem-sqrt-square flip3-- frac-2neg sqrt-pow1 pow1/2 div-sub prod-exp clear-num associate-/r* flip-- cbrt-unprod div-inv
Counts
2 → 39
Calls
2 calls:
1.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
7.0ms
(/ (- (* a a) (* b b)) (* a a))

series23.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
8.0ms
(/ (- (* a a) (* b b)) (* a a))

simplify139.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 3 (134.0ms)

IterNodesCost
0197340
1816296
24110295
35001292

prune69.0ms

Filtered
34 candidates to 45 candidates (-32.4%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New41445
Fresh000
Picked101
Done000
Total42446

Merged error: 0.0b

Counts
46 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
0.0b
(/ (+ a b) a)
0.0b
(/ (- a b) a)
0.0b
(* (/ (+ a b) a) (/ (- a b) a))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
69×*-un-lft-identity
68×add-sqr-sqrt
58×times-frac
41×add-cube-cbrt
20×add-exp-log add-cbrt-cube
19×associate-*r*
16×associate-*l*
9×associate-/l*
7×pow1 distribute-lft-out distribute-lft-out-- difference-of-squares
6×cbrt-undiv div-exp associate-/r*
4×prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
3×sqrt-prod
2×frac-2neg clear-num
1×frac-times rem-sqrt-square flip3-- sqrt-pow1 flip3-+ pow1/2 div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative flip-- flip-+
Counts
4 → 143
Calls
4 calls:
1.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
5.0ms
(/ (+ a b) a)
6.0ms
(/ (- a b) a)
16.0ms
(* (/ (+ a b) a) (/ (- a b) a))

series29.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
4.0ms
(/ (+ a b) a)
7.0ms
(/ (- a b) a)
9.0ms
(* (/ (+ a b) a) (/ (- a b) a))

simplify63.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0493951
12505870
25002867

prune158.0ms

Filtered
106 candidates to 155 candidates (-46.2%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1532155
Fresh213
Picked101
Done000
Total1563159

Merged error: 0b

Counts
159 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (* (/ (+ a b) a) (/ (- a b) a)))
0.0b
(cbrt (* (/ (+ a b) a) (/ (- a b) a)))
0.0b
(cbrt (* (/ (+ a b) a) (/ (- a b) a)))
0.0b
(* (cbrt (* (/ (+ a b) a) (/ (- a b) a))) (cbrt (* (/ (+ a b) a) (/ (- a b) a))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
33×cbrt-div
20×frac-times
14×associate-*r/ associate-*l/
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 82
Calls
4 calls:
9.0ms
(cbrt (* (/ (+ a b) a) (/ (- a b) a)))
9.0ms
(cbrt (* (/ (+ a b) a) (/ (- a b) a)))
8.0ms
(cbrt (* (/ (+ a b) a) (/ (- a b) a)))
6.0ms
(* (cbrt (* (/ (+ a b) a) (/ (- a b) a))) (cbrt (* (/ (+ a b) a) (/ (- a b) a))))

series107.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (* (/ (+ a b) a) (/ (- a b) a)))
24.0ms
(cbrt (* (/ (+ a b) a) (/ (- a b) a)))
24.0ms
(cbrt (* (/ (+ a b) a) (/ (- a b) a)))
32.0ms
(* (cbrt (* (/ (+ a b) a) (/ (- a b) a))) (cbrt (* (/ (+ a b) a) (/ (- a b) a))))

simplify99.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 3 (90.0ms)

IterNodesCost
0172885
1606788
23168723
35001709

prune107.0ms

Filtered
67 candidates to 94 candidates (-40.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New94094
Fresh022
Picked011
Done000
Total94397

Merged error: 0b

Counts
97 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ a b) a)
0.0b
(* (* (/ (+ a b) a) (/ (sqrt (- a b)) (sqrt a))) (/ (sqrt (- a b)) (sqrt a)))
0.1b
(/ (sqrt (- a b)) (sqrt a))
0.1b
(/ (sqrt (- a b)) (sqrt a))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
178×sqrt-prod
156×times-frac
154×*-un-lft-identity
146×add-sqr-sqrt
106×add-cube-cbrt
52×associate-*r*
51×add-exp-log add-cbrt-cube
20×associate-/l* distribute-lft-out-- difference-of-squares
18×prod-exp cbrt-unprod
16×cbrt-undiv div-exp
15×associate-/r*
9×pow1
6×associate-/l/
5×frac-times associate-*l/
4×sqrt-div div-inv distribute-lft-out add-log-exp
3×frac-2neg associate-*r/ pow-prod-down clear-num
2×sqrt-undiv flip3-- flip--
1×flip3-+ associate-*l* *-commutative flip-+
Counts
4 → 277
Calls
4 calls:
5.0ms
(/ (+ a b) a)
27.0ms
(* (* (/ (+ a b) a) (/ (sqrt (- a b)) (sqrt a))) (/ (sqrt (- a b)) (sqrt a)))
8.0ms
(/ (sqrt (- a b)) (sqrt a))
8.0ms
(/ (sqrt (- a b)) (sqrt a))

series44.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(/ (+ a b) a)
13.0ms
(* (* (/ (+ a b) a) (/ (sqrt (- a b)) (sqrt a))) (/ (sqrt (- a b)) (sqrt a)))
11.0ms
(/ (sqrt (- a b)) (sqrt a))
15.0ms
(/ (sqrt (- a b)) (sqrt a))

simplify124.0ms

Algorithm
egg-herbie
Counts
289 → 289
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
07352969
145332624
250022460

prune206.0ms

Filtered
150 candidates to 289 candidates (-92.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2890289
Fresh011
Picked011
Done011
Total2893292

Merged error: 0b

Counts
292 → 3

regimes73.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01522
11522

end0.0ms

sample908.0ms

Algorithm
intervals
Results
262.0ms8000×body80valid
133.0ms7996×pre80false
132.0ms8000×pre80true

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