Details

Time bar (total: 5.2s)

sample48.0ms

Algorithm
intervals
Results
12.0ms518×pre80true
8.0ms127×body160valid
8.0ms262×body80nan
4.0ms129×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0229
1439
2839
31109
41189
51189

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.3b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 3.0 a) c)
0.3b
(- (* b b) (* (* 3.0 a) c))
0.4b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
25.2b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
14×add-exp-log add-cbrt-cube
10×add-sqr-sqrt add-cube-cbrt fma-def add-log-exp
9×pow1
6×distribute-rgt-neg-in distribute-lft-out
5×times-frac associate-/l*
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u
3×distribute-lft-neg-in associate-*r* 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 fma-neg diff-log div-sub associate-*l* prod-diff neg-log clear-num associate-/r* *-commutative flip-- div-inv
Counts
4 → 93
Calls
4 calls:
7.0ms
(* (* 3.0 a) c)
3.0ms
(- (* b b) (* (* 3.0 a) c))
37.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
12.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series253.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (* 3.0 a) c)
43.0ms
(- (* b b) (* (* 3.0 a) c))
106.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
79.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify61.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0449785
12075672
25002663

prune273.0ms

Filtered
105 candidates to 78 candidates (74.3%)
Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 9.4b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* b b) (* (* 3.0 a) c))
0.3b
(/ (fma b b (- (- (* b b) (* (* 3.0 a) c)))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.4b
(/ (/ (fma b b (- (- (* b b) (* (* 3.0 a) c)))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))
23.9b
(fma b b (- (- (* b b) (* (* 3.0 a) c))))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
78×add-sqr-sqrt *-un-lft-identity
38×add-cube-cbrt
30×associate-/l*
20×distribute-lft-out-- difference-of-squares
18×add-exp-log add-cbrt-cube
10×distribute-rgt-neg-in sqrt-prod
8×associate-/r*
7×cbrt-undiv div-exp
6×associate-/r/ add-log-exp
4×pow1 expm1-log1p-u flip3-- flip-- log1p-expm1-u div-inv
2×frac-2neg prod-exp clear-num cbrt-unprod
1×sub-neg fma-neg diff-log prod-diff fma-udef associate-/l/
Counts
4 → 149
Calls
4 calls:
3.0ms
(- (* b b) (* (* 3.0 a) c))
22.0ms
(/ (fma b b (- (- (* b b) (* (* 3.0 a) c)))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
42.0ms
(/ (/ (fma b b (- (- (* b b) (* (* 3.0 a) c)))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))
0.0ms
(fma b b (- (- (* b b) (* (* 3.0 a) c))))

series518.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (* b b) (* (* 3.0 a) c))
217.0ms
(/ (fma b b (- (- (* b b) (* (* 3.0 a) c)))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
200.0ms
(/ (/ (fma b b (- (- (* b b) (* (* 3.0 a) c)))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))
57.0ms
(fma b b (- (- (* b b) (* (* 3.0 a) c))))

simplify90.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
06113166
126422849
250012834

prune412.0ms

Filtered
161 candidates to 107 candidates (66.5%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.4b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
50×add-exp-log add-cbrt-cube
34×times-frac
27×add-sqr-sqrt *-un-lft-identity
17×cbrt-undiv div-exp
16×prod-exp cbrt-unprod
14×associate-/l*
11×add-cube-cbrt
9×pow1
8×associate-/r* distribute-lft-out-- difference-of-squares
6×associate-/r/ add-log-exp
4×expm1-log1p-u flip3-- distribute-rgt-neg-in sqrt-prod flip-- log1p-expm1-u div-inv
3×associate-*l* pow-prod-down
2×frac-2neg clear-num
1×sub-neg fma-neg diff-log associate-*r* prod-diff *-commutative associate-/l/
Counts
4 → 127
Calls
4 calls:
3.0ms
(- (* b b) (* (* 3.0 a) c))
6.0ms
(* 3.0 (* a c))
26.0ms
(/ (* 3.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
43.0ms
(/ (/ (* 3.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series388.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(- (* b b) (* (* 3.0 a) c))
19.0ms
(* 3.0 (* a c))
177.0ms
(/ (* 3.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
144.0ms
(/ (/ (* 3.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify92.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
06361783
135791410
250021384

prune318.0ms

Filtered
139 candidates to 85 candidates (61.2%)
Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 3.0 a) c)
0.3b
(- (* b b) (* (* 3.0 a) c))
0.3b
(/ (/ (* a c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
0.3b
(/ (* a c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
74×times-frac
53×add-sqr-sqrt *-un-lft-identity
29×add-cube-cbrt
23×add-exp-log add-cbrt-cube
14×associate-/l*
12×distribute-lft-out-- difference-of-squares
10×associate-/r* associate-/r/
9×pow1
7×cbrt-undiv div-exp
6×flip3-- distribute-rgt-neg-in sqrt-prod flip-- div-inv add-log-exp
5×prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u
3×associate-*r* pow-prod-down
2×frac-2neg clear-num
1×sub-neg fma-neg diff-log associate-*l* prod-diff *-commutative associate-/l/
Counts
4 → 143
Calls
4 calls:
7.0ms
(* (* 3.0 a) c)
3.0ms
(- (* b b) (* (* 3.0 a) c))
40.0ms
(/ (/ (* a c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
23.0ms
(/ (* a c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series391.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (* 3.0 a) c)
43.0ms
(- (* b b) (* (* 3.0 a) c))
149.0ms
(/ (/ (* a c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
180.0ms
(/ (* a c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify94.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
06601964
133061735
250011712

prune359.0ms

Filtered
155 candidates to 105 candidates (67.7%)
Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

regimes165.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02210
12410
22410

end0.0ms

sample1.3s

Algorithm
intervals
Results
306.0ms16543×pre80true
297.0ms4454×body160valid
273.0ms8543×body80nan
117.0ms3546×body80valid