Details

Time bar (total: 13.1s)

sample61.0ms

Algorithm
intervals
Results
13.0ms284×body80nan
12.0ms171×body160valid
11.0ms540×pre80true
4.0ms40×body320valid
2.0ms45×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 45.7b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.3b
(* (* 3.0 a) c)
0.3b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
40.7b
(+ (- 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:
35.0ms
(- (* b b) (* (* 3.0 a) c))
7.0ms
(* (* 3.0 a) c)
44.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
36.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series272.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(- (* b b) (* (* 3.0 a) c))
21.0ms
(* (* 3.0 a) c)
114.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
88.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify208.0ms

Algorithm
egg-herbie
Counts
548 → 548
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
013928928
149696424
250016424

prune475.0ms

Filtered
548 candidates to 171 candidates (31.2%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New53513548
Fresh000
Picked101
Done000
Total53613549

Merged error: 4.4b

Counts
549 → 13

localize7.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune32.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01212
Picked011
Done000
Total01313

Merged error: 4.4b

Counts
13 → 13

localize8.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (* a c) b)
0.3b
(* -1.5 (/ (* a c) b))
0.3b
(/ (* -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))
46.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series79.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(/ (* a c) b)
37.0ms
(* -1.5 (/ (* a c) b))
22.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify164.0ms

Algorithm
egg-herbie
Counts
884 → 884
Iterations

Useful iterations: 1 (67.0ms)

IterNodesCost
041768764
150018706

prune1.5s

Filtered
884 candidates to 630 candidates (71.3%)
Pruning

38 alts after pruning (37 fresh and 1 done)

PrunedKeptTotal
New85826884
Fresh01111
Picked101
Done011
Total85938897

Merged error: 4.3b

Counts
897 → 38

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite461.0ms

Algorithm
rewrite-expression-head
Rules
4695×times-frac
3928×add-sqr-sqrt
3706×associate-*r*
2923×sqrt-prod
1926×*-un-lft-identity
1924×add-cube-cbrt
1174×associate-*l*
980×unswap-sqr
273×*-commutative
139×associate-/l*
42×add-exp-log add-cbrt-cube
33×associate-/r*
28×associate-/l/
25×associate-*r/
24×div-inv
14×prod-exp cbrt-unprod
13×cbrt-undiv div-exp
12×pow1
6×pow-prod-down
4×expm1-log1p-u sqrt-pow1 pow1/2 clear-num log1p-expm1-u add-log-exp
3×frac-2neg un-div-inv
2×sqrt-unprod
1×sqrt-undiv
Counts
4 → 2734
Calls
4 calls:
5.0ms
(/ (sqrt c) (sqrt b))
112.0ms
(/ (* -1.5 (/ (* a (sqrt c)) (sqrt b))) (* (sqrt 3.0) (sqrt a)))
6.0ms
(* (sqrt 3.0) (sqrt a))
6.0ms
(* (sqrt 3.0) (sqrt a))

series442.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(/ (sqrt c) (sqrt b))
235.0ms
(/ (* -1.5 (/ (* a (sqrt c)) (sqrt b))) (* (sqrt 3.0) (sqrt a)))
78.0ms
(* (sqrt 3.0) (sqrt a))
81.0ms
(* (sqrt 3.0) (sqrt a))

simplify495.0ms

Algorithm
egg-herbie
Counts
2746 → 2746
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
0500251195

prune5.9s

Filtered
2746 candidates to 1228 candidates (44.7%)
Pruning

40 alts after pruning (39 fresh and 1 done)

PrunedKeptTotal
New2726202746
Fresh171936
Picked101
Done011
Total2744402784

Merged error: 4.3b

Counts
2784 → 40

regimes1.2s

Accuracy

29.4% (4.9b remaining)

Error of 10.0b against oracle of 5.1b and baseline of 12.1b

bsearch5.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02727
12727

end0.0ms

sample1.5s

Algorithm
intervals
Results
343.0ms4805×body160valid
317.0ms16177×pre80true
272.0ms8177×body80nan
154.0ms1410×body320valid
63.0ms1785×body80valid