Details

Time bar (total: 3.4s)

sample34.0ms

Algorithm
intervals
Results
23.0ms269×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: 24.8b

localize9.0ms

Local error

Found 2 expressions with local error:

1.4b
(- (* b c) (* a d))
24.2b
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite14.0ms

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:
2.0ms
(- (* b c) (* a d))
10.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series121.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(- (* b c) (* a d))
84.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify101.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0251464
1938427
23504426
35001426

prune141.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 24.1b

localize12.0ms

Local error

Found 4 expressions with local error:

1.4b
(- (* b c) (* a d))
15.6b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
28.6b
(sqrt (+ (* c c) (* d d)))
28.6b
(sqrt (+ (* c c) (* d d)))

rewrite24.0ms

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:
2.0ms
(- (* b c) (* a d))
13.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
3.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))

series218.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(- (* b c) (* a d))
111.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
34.0ms
(sqrt (+ (* c c) (* d d)))
36.0ms
(sqrt (+ (* c c) (* d d)))

simplify95.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0304910
1990857
23354845
35001845

prune277.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 20.9b

localize13.0ms

Local error

Found 3 expressions with local error:

1.0b
(/ 1 (+ (* c c) (* d d)))
1.4b
(- (* b c) (* a d))
23.5b
(* (- (* b c) (* a d)) (/ 1 (+ (* c c) (* d d))))

rewrite30.0ms

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:
5.0ms
(/ 1 (+ (* c c) (* d d)))
2.0ms
(- (* b c) (* a d))
20.0ms
(* (- (* b c) (* a d)) (/ 1 (+ (* c c) (* d d))))

series159.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ 1 (+ (* c c) (* d d)))
37.0ms
(- (* b c) (* a d))
84.0ms
(* (- (* b c) (* a d)) (/ 1 (+ (* c c) (* d d))))

simplify47.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0343780
11563687
25002659

prune210.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 20.9b

localize13.0ms

Local error

Found 4 expressions with local error:

1.4b
(- (* b c) (* a d))
23.5b
(* (- (* b c) (* a d)) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
28.6b
(sqrt (+ (* c c) (* d d)))
28.6b
(sqrt (+ (* c c) (* d d)))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
270×times-frac
173×add-sqr-sqrt
150×associate-*r*
141×sqrt-prod
138×*-un-lft-identity
134×add-cube-cbrt
19×add-exp-log
18×sqrt-div
14×associate-/r/
13×add-cbrt-cube
12×unswap-sqr
9×flip3-+ flip-+
8×pow1 div-inv
6×div-exp add-log-exp
5×prod-exp
3×cbrt-undiv flip3-- associate-*l* flip-- cbrt-unprod
2×frac-times rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/
1×sub-neg rec-exp diff-log 1-exp associate-*r/ pow-prod-down *-commutative
Counts
4 → 229
Calls
4 calls:
2.0ms
(- (* b c) (* a d))
74.0ms
(* (- (* b c) (* a d)) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
4.0ms
(sqrt (+ (* c c) (* d d)))
3.0ms
(sqrt (+ (* c c) (* d d)))

series195.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(- (* b c) (* a d))
83.0ms
(* (- (* b c) (* a d)) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))
34.0ms
(sqrt (+ (* c c) (* d d)))
39.0ms
(sqrt (+ (* c c) (* d d)))

simplify51.0ms

Algorithm
egg-herbie
Counts
241 → 241
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
09663433
150012874

prune510.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 20.9b

regimes158.0ms

Accuracy

0% (3.0b remaining)

Error of 26.3b against oracle of 23.2b and baseline of 26.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01613
11613

end0.0ms

sample870.0ms

Algorithm
intervals
Results
652.0ms8500×body80valid