Details

Time bar (total: 2.6s)

sample28.0ms

Algorithm
intervals
Results
11.0ms279×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0157
1157

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 25.1b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* c c) (* d d))
0.3b
(+ (* a c) (* b d))
24.8b
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

rewrite16.0ms

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:
3.0ms
(+ (* c c) (* d d))
3.0ms
(+ (* a c) (* b d))
8.0ms
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

series44.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ (* c c) (* d d))
12.0ms
(+ (* a c) (* b d))
26.0ms
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

simplify133.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0272527
11164479
24437477
35002477

prune107.0ms

Filtered
49 candidates to 62 candidates (-26.5%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New54862
Fresh000
Picked011
Done000
Total54963

Merged error: 24.4b

Counts
63 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* a c) (* b d))
14.1b
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
30.1b
(sqrt (+ (* c c) (* d d)))
30.1b
(sqrt (+ (* c c) (* d d)))

rewrite22.0ms

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:
3.0ms
(+ (* a c) (* b d))
9.0ms
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
3.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))

series56.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(+ (* a c) (* b d))
33.0ms
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

simplify82.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0273895
1868840
22679828
35002828

prune130.0ms

Filtered
74 candidates to 96 candidates (-29.7%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New88896
Fresh437
Picked011
Done101
Total9312105

Merged error: 23.4b

Counts
105 → 12

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* a c) (* b d))
14.2b
(* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
30.1b
(sqrt (+ (* c c) (* d d)))
30.1b
(sqrt (+ (* c c) (* d d)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
24×associate-*r*
22×*-un-lft-identity times-frac
20×add-cube-cbrt
17×sqrt-prod
13×add-exp-log
9×add-cbrt-cube
8×pow1
6×flip3-+ sqrt-div flip-+ add-log-exp
5×unswap-sqr
4×prod-exp
3×associate-*l*
2×frac-times rem-sqrt-square sqrt-pow1 pow1/2 div-exp associate-*l/ associate-/r/ cbrt-unprod
1×cbrt-undiv +-commutative rec-exp 1-exp associate-*r/ pow-prod-down sum-log un-div-inv *-commutative div-inv
Counts
4 → 94
Calls
4 calls:
3.0ms
(+ (* a c) (* b d))
15.0ms
(* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
3.0ms
(sqrt (+ (* c c) (* d d)))
3.0ms
(sqrt (+ (* c c) (* d d)))

series57.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(+ (* a c) (* b d))
34.0ms
(* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
6.0ms
(sqrt (+ (* c c) (* d d)))
8.0ms
(sqrt (+ (* c c) (* d d)))

simplify50.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0385911
11913826
25002802

prune126.0ms

Filtered
73 candidates to 106 candidates (-45.2%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1060106
Fresh01010
Picked011
Done011
Total10612118

Merged error: 23.4b

Counts
118 → 12

localize23.0ms

Local error

Found 4 expressions with local error:

8.8b
(* (/ 1 (* (fabs (cbrt (+ (* c c) (* d d)))) 1)) (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))))
30.1b
(sqrt (+ (* c c) (* d d)))
31.2b
(cbrt (+ (* c c) (* d d)))
31.2b
(cbrt (+ (* c c) (* d d)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
66×add-exp-log
40×add-sqr-sqrt
33×times-frac associate-*r*
32×prod-exp
28×add-cube-cbrt *-un-lft-identity
25×add-cbrt-cube
23×sqrt-prod
22×div-exp
16×cbrt-prod
12×1-exp
8×cbrt-unprod
7×pow1 cbrt-undiv associate-*l*
6×rec-exp cbrt-div
4×flip3-+ sqrt-div flip-+ add-log-exp unswap-sqr
2×pow1/3 associate-/r/ div-inv
1×frac-times rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 123
Calls
4 calls:
20.0ms
(* (/ 1 (* (fabs (cbrt (+ (* c c) (* d d)))) 1)) (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))))
3.0ms
(sqrt (+ (* c c) (* d d)))
3.0ms
(cbrt (+ (* c c) (* d d)))
3.0ms
(cbrt (+ (* c c) (* d d)))

series218.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(* (/ 1 (* (fabs (cbrt (+ (* c c) (* d d)))) 1)) (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))))
8.0ms
(sqrt (+ (* c c) (* d d)))
20.0ms
(cbrt (+ (* c c) (* d d)))
21.0ms
(cbrt (+ (* c c) (* d d)))

simplify85.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
08022163
137531868
250031847

prune147.0ms

Filtered
91 candidates to 135 candidates (-48.4%)
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New1323135
Fresh279
Picked011
Done022
Total13413147

Merged error: 23.4b

Counts
147 → 13

regimes409.0ms

Accuracy

0% (2.9b remaining)

Error of 25.7b against oracle of 22.7b and baseline of 25.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01713
11713

end0.0ms

sample719.0ms

Algorithm
intervals
Results
356.0ms8498×body80valid

Profiling

Loading profile data...