Details

Time bar (total: 1.7s)

sample17.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
073
183
283

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(sqrt (fabs (- x y)))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt sqrt-prod
2×pow1 add-cube-cbrt *-un-lft-identity
1×add-exp-log expm1-log1p-u rem-sqrt-square sqrt-pow1 pow1/2 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
1 → 15
Calls
1 calls:
1.0ms
(sqrt (fabs (- x y)))

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(sqrt (fabs (- x y)))

simplify92.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 7 (27.0ms)

IterNodesCost
02872
13270
23570
34070
45970
511370
654070
7177969
8500269

prune34.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fabs (- x y)))
0.1b
(sqrt (sqrt (fabs (- x y))))
0.1b
(sqrt (sqrt (fabs (- x y))))
0.5b
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
89×sqrt-prod
56×add-sqr-sqrt
41×sqrt-pow1
32×pow1
21×add-cube-cbrt *-un-lft-identity pow1/2
15×swap-sqr
9×associate-*r* associate-*l* pow-prod-up unswap-sqr
6×add-exp-log add-cbrt-cube
5×rem-sqrt-square pow-prod-down pow-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 134
Calls
4 calls:
1.0ms
(sqrt (fabs (- x y)))
1.0ms
(sqrt (sqrt (fabs (- x y))))
1.0ms
(sqrt (sqrt (fabs (- x y))))
13.0ms
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

series99.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(sqrt (fabs (- x y)))
42.0ms
(sqrt (sqrt (fabs (- x y))))
40.0ms
(sqrt (sqrt (fabs (- x y))))
9.0ms
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

simplify143.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 3 (134.0ms)

IterNodesCost
0137754
1525694
23007678
35002663

prune189.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (sqrt (fabs (- x y)))))) (cbrt (sqrt (sqrt (fabs (- x y)))))) (sqrt (sqrt (fabs (- x y)))))
0.6b
(cbrt (sqrt (sqrt (fabs (- x y)))))
0.6b
(cbrt (sqrt (sqrt (fabs (- x y)))))
0.6b
(cbrt (sqrt (sqrt (fabs (- x y)))))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
36×sqrt-prod
27×cbrt-prod
17×add-cube-cbrt
16×add-sqr-sqrt *-un-lft-identity
15×pow1 pow1/3
13×add-exp-log
9×associate-*r* add-cbrt-cube
8×pow-prod-up
6×pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow-plus pow-sqr
1×swap-sqr associate-*l* *-commutative
Counts
4 → 91
Calls
4 calls:
85.0ms
(* (* (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (sqrt (fabs (- x y)))))) (cbrt (sqrt (sqrt (fabs (- x y)))))) (sqrt (sqrt (fabs (- x y)))))
1.0ms
(cbrt (sqrt (sqrt (fabs (- x y)))))
1.0ms
(cbrt (sqrt (sqrt (fabs (- x y)))))
2.0ms
(cbrt (sqrt (sqrt (fabs (- x y)))))

series137.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(* (* (* (cbrt (sqrt (sqrt (fabs (- x y))))) (cbrt (sqrt (sqrt (fabs (- x y)))))) (cbrt (sqrt (sqrt (fabs (- x y)))))) (sqrt (sqrt (fabs (- x y)))))
42.0ms
(cbrt (sqrt (sqrt (fabs (- x y)))))
42.0ms
(cbrt (sqrt (sqrt (fabs (- x y)))))
40.0ms
(cbrt (sqrt (sqrt (fabs (- x y)))))

simplify108.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
01821339
16671042
24742782
35001782

prune202.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes82.0ms

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
053

end0.0ms

sample463.0ms

Algorithm
intervals
Results
320.0ms8000×body80valid