Details

Time bar (total: 2.0s)

analyze40.0ms

Algorithm
search

sample21.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
5.0ms256×pre80true
0.0ms4×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: 15.4b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
0.0b
(- (* a a) (* b b))
15.0b
(/ (- (* a a) (* b b)) (* a a))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
8×add-exp-log add-cbrt-cube
7×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity
5×add-log-exp
4×pow1 times-frac associate-/l*
3×sqrt-prod difference-of-squares
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 diff-log div-sub prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
3 → 52
Calls
3 calls:
1.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
3.0ms
(- (* a a) (* b b))
7.0ms
(/ (- (* a a) (* b b)) (* a a))

series28.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
6.0ms
(- (* a a) (* b b))
8.0ms
(/ (- (* a a) (* b b)) (* a a))

simplify159.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 3 (153.0ms)

IterNodesCost
0228417
1970368
24781367
35001366

prune85.0ms

Filtered
45 candidates to 61 candidates (-35.6%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New59261
Fresh000
Picked101
Done000
Total60262

Merged error: 0.0b

Counts
62 → 2

localize9.0ms

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) (/ (- a b) a))
0.1b
(/ (- a b) a)

rewrite37.0ms

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)
19.0ms
(* (/ (+ a b) a) (/ (- a b) a))
6.0ms
(/ (- a b) a)

series27.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
4.0ms
(/ (+ a b) a)
9.0ms
(* (/ (+ a b) a) (/ (- a b) a))
5.0ms
(/ (- a b) a)

simplify63.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0493951
12505870
25002867

prune155.0ms

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

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1541155
Fresh011
Picked011
Done000
Total1543157

Merged error: 0b

Counts
157 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fabs (* (/ (+ a b) a) (- 1 (/ b a)))))
0.0b
(- 1 (/ b a))
0.0b
(/ (+ a b) a)
0.0b
(* (/ (+ a b) a) (- 1 (/ b a)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt *-un-lft-identity
29×times-frac
23×add-cube-cbrt
16×associate-*l*
11×add-exp-log add-cbrt-cube
8×associate-*r* difference-of-squares
7×pow1 distribute-lft-out
6×add-log-exp
4×associate-/l*
3×sub-neg flip3-- associate-/r* sqrt-prod flip--
2×cbrt-undiv distribute-rgt-in frac-times distribute-lft-in associate-*r/ div-exp prod-exp cbrt-unprod div-inv associate-/l/ distribute-lft-out-- unswap-sqr
1×rem-sqrt-square frac-2neg sqrt-pow1 flip3-+ pow1/2 diff-log pow-prod-down associate-*l/ clear-num *-commutative flip-+
Counts
4 → 111
Calls
4 calls:
1.0ms
(sqrt (fabs (* (/ (+ a b) a) (- 1 (/ b a)))))
7.0ms
(- 1 (/ b a))
5.0ms
(/ (+ a b) a)
15.0ms
(* (/ (+ a b) a) (- 1 (/ b a)))

series27.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(sqrt (fabs (* (/ (+ a b) a) (- 1 (/ b a)))))
3.0ms
(- 1 (/ b a))
4.0ms
(/ (+ a b) a)
10.0ms
(* (/ (+ a b) a) (- 1 (/ b a)))

simplify50.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0393746
11980685
25001684

prune134.0ms

Filtered
83 candidates to 123 candidates (-48.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1230123
Fresh011
Picked011
Done011
Total1233126

Merged error: 0b

Counts
126 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* a a) (* b b))
0.0b
(* (/ (sqrt (- (* a a) (* b b))) a) (/ (sqrt (- (* a a) (* b b))) a))
14.7b
(sqrt (- (* a a) (* b b)))
14.7b
(sqrt (- (* a a) (* b b)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
110×add-sqr-sqrt
108×times-frac
68×sqrt-prod
66×add-cube-cbrt *-un-lft-identity
31×swap-sqr
25×associate-*r* associate-*l*
16×add-exp-log add-cbrt-cube
15×difference-of-squares
13×pow1
9×unswap-sqr
6×add-log-exp
4×cbrt-undiv sqrt-div div-exp prod-exp cbrt-unprod div-inv
3×flip3-- flip--
2×rem-sqrt-square sqrt-pow1 pow1/2
1×pow2 frac-times sub-neg pow-plus diff-log associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up
Counts
4 → 159
Calls
4 calls:
4.0ms
(- (* a a) (* b b))
27.0ms
(* (/ (sqrt (- (* a a) (* b b))) a) (/ (sqrt (- (* a a) (* b b))) a))
4.0ms
(sqrt (- (* a a) (* b b)))
4.0ms
(sqrt (- (* a a) (* b b)))

series29.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(- (* a a) (* b b))
8.0ms
(* (/ (sqrt (- (* a a) (* b b))) a) (/ (sqrt (- (* a a) (* b b))) a))
7.0ms
(sqrt (- (* a a) (* b b)))
8.0ms
(sqrt (- (* a a) (* b b)))

simplify77.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
06202140
129561832
250011638

prune165.0ms

Filtered
109 candidates to 171 candidates (-56.9%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1710171
Fresh000
Picked011
Done022
Total1713174

Merged error: 0b

Counts
174 → 3

regimes105.0ms

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
0117
1117

end0.0ms

analyze36.0ms

Algorithm
search

sample566.0ms

Algorithm
intervals
Results
272.0ms8000×body80valid
152.0ms8000×pre80true
2.0ms116×pre80false

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