Details

Time bar (total: 3.1s)

sample23.0ms

Algorithm
intervals
Results
9.0ms276×body80valid

simplify11.0ms

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: 28.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* c c) (* d d))
0.5b
(- (* b c) (* a d))
27.6b
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite47.0ms

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
3×pow1 associate-/r* associate-/l*
2×flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub div-exp clear-num sum-log div-inv
Counts
3 → 55
Calls
3 calls:
8.0ms
(+ (* c c) (* d d))
8.0ms
(- (* b c) (* a d))
30.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series137.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(+ (* c c) (* d d))
34.0ms
(- (* b c) (* a d))
78.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify40.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0292541
11273493
25002491

prune176.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 27.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(- (* b c) (* a d))
16.7b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
30.2b
(sqrt (+ (* c c) (* d d)))
30.2b
(sqrt (+ (* c c) (* d d)))

rewrite56.0ms

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:
8.0ms
(- (* b c) (* a d))
29.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
8.0ms
(sqrt (+ (* c c) (* d d)))
8.0ms
(sqrt (+ (* c c) (* d d)))

series205.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(- (* b c) (* a d))
104.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
35.0ms
(sqrt (+ (* c c) (* d d)))
31.0ms
(sqrt (+ (* c c) (* d d)))

simplify101.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0304910
1990857
23354845
35001845

prune264.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 24.9b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(- (* b c) (* a d))
16.8b
(* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
30.2b
(sqrt (+ (* c c) (* d d)))
30.2b
(sqrt (+ (* c c) (* d d)))

rewrite109.0ms

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×sqrt-div add-log-exp
5×unswap-sqr
4×prod-exp
3×flip3-- flip3-+ associate-*l* flip-- flip-+
2×frac-times rem-sqrt-square sqrt-pow1 pow1/2 div-exp associate-*l/ associate-/r/ cbrt-unprod
1×cbrt-undiv sub-neg rec-exp diff-log 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative div-inv
Counts
4 → 95
Calls
4 calls:
14.0ms
(- (* b c) (* a d))
70.0ms
(* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
11.0ms
(sqrt (+ (* c c) (* d d)))
8.0ms
(sqrt (+ (* c c) (* d d)))

series276.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(- (* b c) (* a d))
140.0ms
(* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
50.0ms
(sqrt (+ (* c c) (* d d)))
51.0ms
(sqrt (+ (* c c) (* d d)))

simplify47.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0378916
11785831
25001807

prune291.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 24.9b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(- (* b c) (* a d))
16.8b
(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
30.2b
(sqrt (+ (* c c) (* d d)))
30.2b
(sqrt (+ (* c c) (* d d)))

rewrite56.0ms

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 add-cbrt-cube associate-/l* add-log-exp
3×flip3-+ associate-/r* flip-+
2×rem-sqrt-square flip3-- sqrt-pow1 pow1/2 associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
4 → 85
Calls
4 calls:
8.0ms
(- (* b c) (* a d))
25.0ms
(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
9.0ms
(sqrt (+ (* c c) (* d d)))
12.0ms
(sqrt (+ (* c c) (* d d)))

series172.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(- (* b c) (* a d))
72.0ms
(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
31.0ms
(sqrt (+ (* c c) (* d d)))
35.0ms
(sqrt (+ (* c c) (* d d)))

simplify68.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0264887
1808842
22357837
35001837

prune264.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 24.9b

regimes119.0ms

Accuracy

0% (3.0b remaining)

Error of 26.2b against oracle of 23.2b and baseline of 26.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02114
12114

end0.0ms

sample593.0ms

Algorithm
intervals
Results
295.0ms8493×body80valid