Details

Time bar (total: 45.5s)

sample51.0ms

Algorithm
intervals
Results
10.0ms523×pre80true
9.0ms138×body160valid
8.0ms267×body80nan
6.0ms118×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0229
1439
2839
31109
41189
51189

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: 27.8b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 3.0 a) c)
0.3b
(- (* b b) (* (* 3.0 a) c))
0.3b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
27.7b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite155.0ms

Algorithm
rewrite-expression-head
Rules
447×add-sqr-sqrt
336×associate-*l*
330×prod-diff
300×*-un-lft-identity
232×add-cube-cbrt
183×associate-*r*
111×unswap-sqr
72×swap-sqr
64×*-commutative
60×times-frac
28×distribute-lft-out
17×distribute-rgt-neg-in
15×fma-neg difference-of-squares
14×add-exp-log add-cbrt-cube
12×associate-/r*
10×fma-def add-log-exp
9×pow1
6×distribute-lft-out--
5×associate-/l*
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u
3×distribute-lft-neg-in pow-prod-down
2×cbrt-undiv neg-sub0 associate-+l- flip3-+ div-exp sum-log flip-+ associate-/l/
1×+-commutative neg-mul-1 sub-neg flip3-- frac-2neg diff-log div-sub neg-log clear-num flip-- div-inv
Counts
4 → 536
Calls
4 calls:
8.0ms
(* (* 3.0 a) c)
35.0ms
(- (* b b) (* (* 3.0 a) c))
44.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
35.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series260.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (* 3.0 a) c)
48.0ms
(- (* b b) (* (* 3.0 a) c))
107.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
84.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify104.0ms

Algorithm
egg-herbie
Counts
548 → 548
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
013998928
150016424

prune596.0ms

Filtered
548 candidates to 171 candidates (31.2%)
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New52919548
Fresh000
Picked101
Done000
Total53019549

Merged error: 8.8b

Counts
549 → 19

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune48.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01818
Picked011
Done000
Total01919

Merged error: 8.8b

Counts
19 → 19

localize8.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (* a c) b)
0.3b
(* -1.5 (/ (* a c) b))
0.4b
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
1180×times-frac
860×associate-*r*
853×add-sqr-sqrt
531×*-un-lft-identity
527×add-cube-cbrt
344×associate-*l*
156×unswap-sqr
114×*-commutative
91×associate-/l*
49×add-exp-log add-cbrt-cube
36×associate-*r/
21×associate-/r* associate-/l/
17×prod-exp cbrt-unprod
16×cbrt-undiv div-exp div-inv
6×clear-num un-div-inv
5×pow1
4×frac-2neg
3×expm1-log1p-u log1p-expm1-u add-log-exp
1×pow-prod-down
Counts
3 → 875
Calls
3 calls:
7.0ms
(/ (* a c) b)
17.0ms
(* -1.5 (/ (* a c) b))
45.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series74.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ (* a c) b)
27.0ms
(* -1.5 (/ (* a c) b))
21.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify153.0ms

Algorithm
egg-herbie
Counts
884 → 884
Iterations

Useful iterations: 1 (62.0ms)

IterNodesCost
041768764
150018706

prune2.0s

Filtered
884 candidates to 630 candidates (71.3%)
Pruning

48 alts after pruning (48 fresh and 0 done)

PrunedKeptTotal
New85331884
Fresh01717
Picked101
Done101
Total85548903

Merged error: 8.7b

Counts
903 → 48

localize14.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ (* -1.5 (/ (* a 1) 1)) (/ (* 3.0 a) (/ c b)))
0.4b
(/ (* 3.0 a) (/ c b))

rewrite2.0s

Algorithm
rewrite-expression-head
Rules
33310×times-frac
18162×add-sqr-sqrt
13198×*-un-lft-identity
11835×add-cube-cbrt
11189×associate-*r*
4390×associate-*l*
3674×unswap-sqr
1464×*-commutative
953×div-inv
568×associate-/r/
378×associate-/r*
278×associate-/l*
218×add-exp-log
124×div-exp
116×add-cbrt-cube
73×prod-exp
65×clear-num
64×frac-2neg
60×cbrt-undiv
30×cbrt-unprod
25×1-exp
23×associate-/l/
19×associate-*r/
4×un-div-inv
2×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
Counts
2 → 10362
Calls
2 calls:
264.0ms
(/ (* -1.5 (/ (* a 1) 1)) (/ (* 3.0 a) (/ c b)))
12.0ms
(/ (* 3.0 a) (/ c b))

series48.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(/ (* -1.5 (/ (* a 1) 1)) (/ (* 3.0 a) (/ c b)))
28.0ms
(/ (* 3.0 a) (/ c b))

simplify2.1s

Algorithm
egg-herbie
Counts
10368 → 10368
Iterations

Useful iterations: 0 (138.0ms)

IterNodesCost
014338198686

prune35.1s

Filtered
10368 candidates to 8891 candidates (85.8%)
Pruning

44 alts after pruning (44 fresh and 0 done)

PrunedKeptTotal
New103511710368
Fresh202747
Picked101
Done000
Total103724410416

Merged error: 8.7b

Counts
10416 → 44

regimes1.3s

Accuracy

58.2% (5.9b remaining)

Error of 15.0b against oracle of 9.1b and baseline of 23.1b

bsearch4.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04343
14543
24543

end0.0ms

sample1.4s

Algorithm
intervals
Results
315.0ms16369×pre80true
297.0ms4395×body160valid
265.0ms8369×body80nan
124.0ms3605×body80valid