Details

Time bar (total: 12.4s)

sample88.0ms

Algorithm
intervals
Results
26.0ms614×body80nan
25.0ms617×body80valid

simplify89.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0269
1439
2929
31869
43419
57039
621679
750019

prune3.0ms

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: 0.3b

Counts
2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
0.0b
(exp (/ (* t t) 2.0))
0.3b
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
92×add-sqr-sqrt
61×associate-*l*
54×*-un-lft-identity
49×exp-prod
48×associate-*r*
46×add-cube-cbrt
45×times-frac
30×sqrt-prod
23×unswap-sqr
13×add-exp-log
10×pow1 add-cbrt-cube
9×swap-sqr
8×*-commutative
7×prod-exp
6×associate-*l/
4×pow-prod-down cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
3×expm1-log1p-u log1p-expm1-u
2×flip3-- flip--
1×div-inv rem-exp-log
Counts
3 → 156
Calls
3 calls:
41.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
13.0ms
(exp (/ (* t t) 2.0))
17.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series282.0ms

Counts
3 → 9
Calls
3 calls:
156.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
22.0ms
(exp (/ (* t t) 2.0))
103.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify93.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
06681231
125321144
250031124

prune469.0ms

Filtered
165 candidates to 117 candidates (70.9%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1578165
Fresh000
Picked101
Done000
Total1588166

Merged error: 0.0b

Counts
166 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (/ (* t t) 2.0)) (cbrt (/ (* t t) 2.0)))
30.0b
(cbrt (/ (* t t) 2.0))
30.0b
(cbrt (/ (* t t) 2.0))
30.0b
(cbrt (/ (* t t) 2.0))

rewrite200.0ms

Algorithm
rewrite-expression-head
Rules
987×cbrt-div
847×add-sqr-sqrt
705×associate-/l*
531×*-un-lft-identity
519×add-cube-cbrt
463×cbrt-prod
441×frac-times
421×times-frac
294×swap-sqr
262×associate-*l*
256×associate-*r*
141×associate-/r*
137×unswap-sqr
89×*-commutative
47×frac-2neg clear-num
21×associate-*r/ associate-*l/
11×pow1
9×pow1/3
8×add-cbrt-cube
7×div-inv
6×add-exp-log
4×expm1-log1p-u cbrt-unprod log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp
Counts
4 → 969
Calls
4 calls:
72.0ms
(* (cbrt (/ (* t t) 2.0)) (cbrt (/ (* t t) 2.0)))
10.0ms
(cbrt (/ (* t t) 2.0))
9.0ms
(cbrt (/ (* t t) 2.0))
12.0ms
(cbrt (/ (* t t) 2.0))

series887.0ms

Counts
4 → 12
Calls
4 calls:
251.0ms
(* (cbrt (/ (* t t) 2.0)) (cbrt (/ (* t t) 2.0)))
219.0ms
(cbrt (/ (* t t) 2.0))
208.0ms
(cbrt (/ (* t t) 2.0))
208.0ms
(cbrt (/ (* t t) 2.0))

simplify205.0ms

Algorithm
egg-herbie
Counts
981 → 981
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
0111510681
1298910586
2500110182

prune2.5s

Filtered
981 candidates to 388 candidates (39.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New9810981
Fresh077
Picked011
Done000
Total9818989

Merged error: 0.0b

Counts
989 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (* z (sqrt 2.0)))
0.3b
(* (- (* x 0.5) y) (sqrt (* z (sqrt 2.0))))
0.3b
(* (* (- (* x 0.5) y) (sqrt (* z (sqrt 2.0)))) (sqrt (sqrt 2.0)))
0.4b
(* z (sqrt 2.0))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
126×add-sqr-sqrt
109×sqrt-prod
71×associate-*r*
63×associate-*l*
57×unswap-sqr
35×*-un-lft-identity
27×add-cube-cbrt
16×pow1
13×add-exp-log add-cbrt-cube
7×*-commutative
6×pow-prod-down associate-*l/
5×prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
3×rem-sqrt-square
2×flip3-- sqrt-pow1 flip--
1×pow1/2
Counts
4 → 177
Calls
4 calls:
6.0ms
(sqrt (* z (sqrt 2.0)))
19.0ms
(* (- (* x 0.5) y) (sqrt (* z (sqrt 2.0))))
33.0ms
(* (* (- (* x 0.5) y) (sqrt (* z (sqrt 2.0)))) (sqrt (sqrt 2.0)))
5.0ms
(* z (sqrt 2.0))

series475.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(sqrt (* z (sqrt 2.0)))
153.0ms
(* (- (* x 0.5) y) (sqrt (* z (sqrt 2.0))))
200.0ms
(* (* (- (* x 0.5) y) (sqrt (* z (sqrt 2.0)))) (sqrt (sqrt 2.0)))
46.0ms
(* z (sqrt 2.0))

simplify81.0ms

Algorithm
egg-herbie
Counts
189 → 189
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
05571645
122881553
250011529

prune548.0ms

Filtered
189 candidates to 117 candidates (61.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1872189
Fresh426
Picked011
Done011
Total1916197

Merged error: 0.0b

Counts
197 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(* z (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
0.2b
(sqrt (* z (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
0.3b
(* (- (* x 0.5) y) (sqrt (* z (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))))
0.3b
(* (* (- (* x 0.5) y) (sqrt (* z (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))) (* (sqrt (cbrt (sqrt 2.0))) (sqrt (sqrt 2.0))))

rewrite303.0ms

Algorithm
rewrite-expression-head
Rules
1947×add-sqr-sqrt
1355×unswap-sqr
1279×sqrt-prod
692×cbrt-prod
397×associate-*r*
178×associate-*l*
144×swap-sqr
84×*-un-lft-identity
76×add-cube-cbrt
32×*-commutative
29×pow1
28×add-cbrt-cube
23×add-exp-log
18×rem-sqrt-square cbrt-unprod
15×pow-prod-down
12×prod-exp
6×associate-*l/
4×expm1-log1p-u log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
3×sqrt-pow1
2×flip3-- flip--
1×pow1/2
Counts
4 → 717
Calls
4 calls:
22.0ms
(* z (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
23.0ms
(sqrt (* z (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
48.0ms
(* (- (* x 0.5) y) (sqrt (* z (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))))
119.0ms
(* (* (- (* x 0.5) y) (sqrt (* z (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))) (* (sqrt (cbrt (sqrt 2.0))) (sqrt (sqrt 2.0))))

series1.4s

Counts
4 → 12
Calls
4 calls:
334.0ms
(* z (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
159.0ms
(sqrt (* z (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
419.0ms
(* (- (* x 0.5) y) (sqrt (* z (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))))
459.0ms
(* (* (- (* x 0.5) y) (sqrt (* z (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))) (* (sqrt (cbrt (sqrt 2.0))) (sqrt (sqrt 2.0))))

simplify174.0ms

Algorithm
egg-herbie
Counts
729 → 729
Iterations

Useful iterations: 1 (39.0ms)

IterNodesCost
0136017166
1500116943

prune1.6s

Filtered
729 candidates to 269 candidates (36.9%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New7272729
Fresh213
Picked011
Done022
Total7296735

Merged error: 0.0b

Counts
735 → 6

regimes497.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02218
12218

end0.0ms

sample2.4s

Algorithm
intervals
Results
753.0ms18092×body80valid
723.0ms18190×body80nan