Details

Time bar (total: 3.6s)

sample20.0ms

Algorithm
intervals
Results
9.0ms271×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0157
1157

prune2.0ms

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: 25.5b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* c c) (* d d))
0.5b
(+ (* a c) (* b d))
25.1b
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
5×add-exp-log add-cbrt-cube
4×flip3-+ flip-+
3×pow1 associate-/r* associate-/l*
2×+-commutative sum-log associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
3 → 53
Calls
3 calls:
4.0ms
(+ (* c c) (* d d))
4.0ms
(+ (* a c) (* b d))
8.0ms
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

series144.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(+ (* c c) (* d d))
32.0ms
(+ (* a c) (* b d))
82.0ms
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

simplify139.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0272527
11164479
24451477
35003477

prune178.0ms

Filtered
62 candidates to 49 candidates (79.0%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New54862
Fresh000
Picked011
Done000
Total54963

Merged error: 24.8b

Counts
63 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(+ (* a c) (* b d))
17.0b
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
28.7b
(sqrt (+ (* c c) (* d d)))
28.7b
(sqrt (+ (* c c) (* d d)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
18×times-frac sqrt-prod
6×pow1 add-exp-log sqrt-div associate-/r* add-cbrt-cube add-log-exp
5×flip3-+ flip-+
3×associate-/l*
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-/r/ associate-/l/
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
4 → 84
Calls
4 calls:
4.0ms
(+ (* a c) (* b d))
9.0ms
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
4.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))

series214.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ (* a c) (* b d))
106.0ms
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
35.0ms
(sqrt (+ (* c c) (* d d)))
40.0ms
(sqrt (+ (* c c) (* d d)))

simplify88.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0273893
1868840
22693828
35001828

prune241.0ms

Filtered
96 candidates to 74 candidates (77.1%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New92496
Fresh347
Picked011
Done011
Total9510105

Merged error: 21.5b

Counts
105 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

13.8b
(/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (/ (+ (* c c) (* d d)) (cbrt (+ (* a c) (* b d)))))
17.7b
(cbrt (+ (* a c) (* b d)))
17.7b
(cbrt (+ (* a c) (* b d)))
17.7b
(cbrt (+ (* a c) (* b d)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
60×times-frac
33×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
27×cbrt-prod
24×associate-/r*
22×cbrt-div
16×add-exp-log
11×flip3-+ flip-+
10×add-cbrt-cube
8×associate-/l/
6×cbrt-undiv div-exp
5×associate-/r/
4×pow1 frac-times add-log-exp
3×pow1/3 div-inv
2×associate-*r/ associate-*l/ prod-exp cbrt-unprod
1×frac-2neg clear-num associate-/l*
Counts
4 → 115
Calls
4 calls:
18.0ms
(/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (/ (+ (* c c) (* d d)) (cbrt (+ (* a c) (* b d)))))
3.0ms
(cbrt (+ (* a c) (* b d)))
3.0ms
(cbrt (+ (* a c) (* b d)))
3.0ms
(cbrt (+ (* a c) (* b d)))

series386.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (/ (+ (* c c) (* d d)) (cbrt (+ (* a c) (* b d)))))
103.0ms
(cbrt (+ (* a c) (* b d)))
100.0ms
(cbrt (+ (* a c) (* b d)))
101.0ms
(cbrt (+ (* a c) (* b d)))

simplify69.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05612242
123432090
250021991

prune591.0ms

Filtered
127 candidates to 110 candidates (86.6%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1261127
Fresh077
Picked011
Done022
Total12611137

Merged error: 21.5b

Counts
137 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

17.7b
(cbrt (+ (* a c) (* b d)))
17.7b
(cbrt (+ (* a c) (* b d)))
28.7b
(sqrt (+ (* c c) (* d d)))
28.7b
(sqrt (+ (* c c) (* d d)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×pow1 cbrt-prod sqrt-prod
4×add-exp-log cbrt-div flip3-+ sqrt-div add-cbrt-cube flip-+ add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 pow1/3
Counts
4 → 56
Calls
4 calls:
3.0ms
(cbrt (+ (* a c) (* b d)))
3.0ms
(cbrt (+ (* a c) (* b d)))
3.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))

series270.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(cbrt (+ (* a c) (* b d)))
98.0ms
(cbrt (+ (* a c) (* b d)))
37.0ms
(sqrt (+ (* c c) (* d d)))
35.0ms
(sqrt (+ (* c c) (* d d)))

simplify124.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 4 (118.0ms)

IterNodesCost
0255482
1654458
21696446
34112440
45001438

prune218.0ms

Filtered
68 candidates to 60 candidates (88.2%)
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New68068
Fresh077
Picked011
Done033
Total681179

Merged error: 21.5b

Counts
79 → 11

regimes221.0ms

Accuracy

37.5% (1.8b remaining)

Error of 25.0b against oracle of 23.2b and baseline of 26.1b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03038
13138
23138

end0.0ms

sample511.0ms

Algorithm
intervals
Results
299.0ms8472×body80valid