Details

Time bar (total: 2.2s)

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
073
183
283

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

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)))

simplify98.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 7 (28.0ms)

IterNodesCost
02872
13270
23570
34070
45970
511370
654070
7177969
8500269

prune40.0ms

Filtered
18 candidates to 12 candidates (66.7%)
Pruning

3 alts after pruning (2 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)))))

rewrite21.0ms

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)))))

series100.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(sqrt (fabs (- x y)))
39.0ms
(sqrt (sqrt (fabs (- x y))))
43.0ms
(sqrt (sqrt (fabs (- x y))))
9.0ms
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

simplify171.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 3 (160.0ms)

IterNodesCost
0137754
1525694
23007678
35002663

prune214.0ms

Filtered
146 candidates to 66 candidates (45.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
0.5b
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))))
0.6b
(cbrt (fabs (- x y)))
0.6b
(cbrt (fabs (- x y)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
21×sqrt-prod
14×add-cube-cbrt *-un-lft-identity
13×pow1 associate-*r*
12×associate-*l*
10×cbrt-prod
8×add-exp-log add-cbrt-cube
6×pow-prod-down unswap-sqr
4×expm1-log1p-u sqrt-pow1 log1p-expm1-u add-log-exp
2×pow1/2 pow1/3 prod-exp *-commutative cbrt-unprod
1×sqrt-unprod
Counts
4 → 87
Calls
4 calls:
7.0ms
(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
19.0ms
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))))
0.0ms
(cbrt (fabs (- x y)))
1.0ms
(cbrt (fabs (- x y)))

series193.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
58.0ms
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))))
42.0ms
(cbrt (fabs (- x y)))
40.0ms
(cbrt (fabs (- x y)))

simplify57.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (49.0ms)

IterNodesCost
01841138
16941072
220771066
350011061

prune289.0ms

Filtered
99 candidates to 68 candidates (68.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
0.6b
(* (sqrt (fabs (- x y))) (* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y))))))
0.6b
(cbrt (fabs (- x y)))
0.6b
(cbrt (fabs (- x y)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
11×pow1 add-exp-log sqrt-prod add-cbrt-cube
10×cbrt-prod associate-*r*
9×associate-*l*
4×expm1-log1p-u pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative
Counts
4 → 77
Calls
4 calls:
7.0ms
(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
13.0ms
(* (sqrt (fabs (- x y))) (* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y))))))
0.0ms
(cbrt (fabs (- x y)))
1.0ms
(cbrt (fabs (- x y)))

series206.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
65.0ms
(* (sqrt (fabs (- x y))) (* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y))))))
40.0ms
(cbrt (fabs (- x y)))
45.0ms
(cbrt (fabs (- x y)))

simplify103.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 3 (96.0ms)

IterNodesCost
0182912
1687818
23408812
35001807

prune250.0ms

Filtered
89 candidates to 60 candidates (67.4%)
Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes97.0ms

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

sample278.0ms

Algorithm
intervals
Results
141.0ms8000×body80valid