Details

Time bar (total: 2.8s)

sample20.0ms

Algorithm
intervals
Results
9.0ms271×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0197
1367
2487
3667
4727
5727

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.4b

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b
(- (* b c) (* a d))
26.9b
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-sub div-exp clear-num flip-+ div-inv
Counts
2 → 44
Calls
2 calls:
3.0ms
(- (* b c) (* a d))
8.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series129.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(- (* b c) (* a d))
87.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify100.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0251464
1938427
23504426
35001426

prune133.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 26.6b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* b c) (* a d))
17.8b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
30.6b
(sqrt (+ (* c c) (* d d)))
30.6b
(sqrt (+ (* c c) (* d d)))

rewrite21.0ms

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
3×flip3-+ flip-+ associate-/l*
2×rem-sqrt-square flip3-- sqrt-pow1 pow1/2 associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
4 → 86
Calls
4 calls:
3.0ms
(- (* b c) (* a d))
9.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
3.0ms
(sqrt (+ (* c c) (* d d)))
3.0ms
(sqrt (+ (* c c) (* d d)))

series224.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(- (* b c) (* a d))
112.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
39.0ms
(sqrt (+ (* c c) (* d d)))
35.0ms
(sqrt (+ (* c c) (* d d)))

simplify95.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0304910
1990857
23354845
35001845

prune278.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 24.3b

localize11.0ms

Local error

Found 3 expressions with local error:

0.3b
(- (* b c) (* a d))
0.3b
(/ 1 (+ (* c c) (* d d)))
26.8b
(* (- (* b c) (* a d)) (/ 1 (+ (* c c) (* d d))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
20×*-un-lft-identity times-frac
19×add-cube-cbrt
16×add-exp-log
15×associate-*r*
10×add-cbrt-cube
6×pow1
5×add-log-exp
4×div-exp prod-exp associate-/r/
3×flip3-- associate-*l* associate-/r* flip-- associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-+ 1-exp associate-*l/ cbrt-unprod flip-+ div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
3 → 87
Calls
3 calls:
3.0ms
(- (* b c) (* a d))
5.0ms
(/ 1 (+ (* c c) (* d d)))
12.0ms
(* (- (* b c) (* a d)) (/ 1 (+ (* c c) (* d d))))

series164.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(- (* b c) (* a d))
36.0ms
(/ 1 (+ (* c c) (* d d)))
86.0ms
(* (- (* b c) (* a d)) (/ 1 (+ (* c c) (* d d))))

simplify44.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0343780
11563687
25002659

prune200.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 24.3b

localize14.0ms

Local error

Found 4 expressions with local error:

17.8b
(/ (- (* b c) (* a d)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))
30.6b
(sqrt (+ (* c c) (* d d)))
30.6b
(sqrt (+ (* c c) (* d d)))
30.6b
(sqrt (+ (* c c) (* d d)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
30×sqrt-div
12×add-sqr-sqrt
9×add-exp-log add-cube-cbrt *-un-lft-identity flip3-+ sqrt-prod add-cbrt-cube flip-+
8×associate-/r/
7×pow1
4×frac-times add-log-exp
3×rem-sqrt-square sqrt-pow1 times-frac pow1/2 associate-/l*
2×cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/l/
1×flip3-- frac-2neg div-sub prod-exp clear-num associate-/r* flip-- cbrt-unprod div-inv
Counts
4 → 77
Calls
4 calls:
17.0ms
(/ (- (* b c) (* a d)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))
4.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))
3.0ms
(sqrt (+ (* c c) (* d d)))

series226.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(/ (- (* b c) (* a d)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))
34.0ms
(sqrt (+ (* c c) (* d d)))
34.0ms
(sqrt (+ (* c c) (* d d)))
39.0ms
(sqrt (+ (* c c) (* d d)))

simplify76.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0307882
1917812
22783812
35003812

prune299.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 22.4b

regimes98.0ms

Accuracy

0% (0.4b remaining)

Error of 22.8b against oracle of 22.4b and baseline of 22.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01518
11518

end0.0ms

sample518.0ms

Algorithm
intervals
Results
301.0ms8503×body80valid