Details

Time bar (total: 4.0s)

sample19.0ms

Algorithm
intervals
Results
9.0ms272×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0197
1367
2487
3667
4727
5727

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: 26.0b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* b c) (* a d))
25.5b
(/ (- (* 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)))

series123.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(- (* b c) (* a d))
84.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify97.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0251464
1938427
23504426
35001426

prune132.0ms

Filtered
50 candidates to 39 candidates (78.0%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New42850
Fresh000
Picked101
Done000
Total43851

Merged error: 25.2b

Counts
51 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
15.9b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
27.2b
(sqrt (+ (* c c) (* d d)))
27.2b
(sqrt (+ (* c c) (* d d)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
288×times-frac
164×add-sqr-sqrt
162×add-cube-cbrt *-un-lft-identity
156×sqrt-prod
27×associate-/l*
22×sqrt-div
18×associate-/r/
12×associate-/r*
11×add-exp-log flip3-+ add-cbrt-cube flip-+
9×div-inv
6×pow1
4×cbrt-undiv div-exp add-log-exp
3×div-sub associate-/l/
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
1×flip3-- flip--
Counts
4 → 266
Calls
4 calls:
16.0ms
(/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
9.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
4.0ms
(sqrt (+ (* c c) (* d d)))
3.0ms
(sqrt (+ (* c c) (* d d)))

series270.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
110.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
33.0ms
(sqrt (+ (* c c) (* d d)))
38.0ms
(sqrt (+ (* c c) (* d d)))

simplify95.0ms

Algorithm
egg-herbie
Counts
278 → 278
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
07455703
128885224
250015172

prune549.0ms

Filtered
278 candidates to 148 candidates (53.2%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New2699278
Fresh527
Picked101
Done000
Total27511286

Merged error: 21.5b

Counts
286 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
15.9b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
27.2b
(sqrt (+ (* c c) (* d d)))
27.2b
(sqrt (+ (* c c) (* d d)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
288×times-frac
164×add-sqr-sqrt
162×add-cube-cbrt *-un-lft-identity
156×sqrt-prod
27×associate-/l*
22×sqrt-div
18×associate-/r/
12×associate-/r*
11×add-exp-log flip3-+ add-cbrt-cube flip-+
9×div-inv
6×pow1
4×cbrt-undiv div-exp add-log-exp
3×div-sub associate-/l/
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
1×flip3-- flip--
Counts
4 → 266
Calls
4 calls:
20.0ms
(/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
9.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
3.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))

series268.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
110.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
39.0ms
(sqrt (+ (* c c) (* d d)))
34.0ms
(sqrt (+ (* c c) (* d d)))

simplify96.0ms

Algorithm
egg-herbie
Counts
278 → 278
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
07455703
128885224
250015172

prune583.0ms

Filtered
278 candidates to 151 candidates (54.3%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New2726278
Fresh6410
Picked011
Done000
Total27811289

Merged error: 21.5b

Counts
289 → 11

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
16.0b
(* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
27.2b
(sqrt (+ (* c c) (* d d)))
27.2b
(sqrt (+ (* c c) (* d d)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
28×add-exp-log times-frac
26×*-un-lft-identity
24×add-cube-cbrt associate-*r*
23×sqrt-prod
18×add-cbrt-cube
9×div-exp
8×pow1 sqrt-div prod-exp
6×associate-/r* associate-/l/
5×cbrt-undiv unswap-sqr
4×frac-times flip3-- flip3-+ associate-*l/ associate-/r/ flip-- cbrt-unprod flip-+ add-log-exp
3×associate-*l*
2×rem-sqrt-square rec-exp sqrt-pow1 pow1/2 1-exp associate-*r/ un-div-inv div-inv
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
4 → 122
Calls
4 calls:
15.0ms
(/ (* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
14.0ms
(* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
3.0ms
(sqrt (+ (* c c) (* d d)))
3.0ms
(sqrt (+ (* c c) (* d d)))

series269.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(/ (* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))
110.0ms
(* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
38.0ms
(sqrt (+ (* c c) (* d d)))
34.0ms
(sqrt (+ (* c c) (* d d)))

simplify63.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05071496
126341285
250011194

prune327.0ms

Filtered
134 candidates to 92 candidates (68.7%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1322134
Fresh279
Picked011
Done011
Total13411145

Merged error: 21.5b

Counts
145 → 11

regimes231.0ms

Accuracy

40.7% (2.0b remaining)

Error of 24.6b against oracle of 22.7b and baseline of 26.0b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03233
13433
23433

end0.0ms

sample696.0ms

Algorithm
intervals
Results
477.0ms8486×body80valid