Details

Time bar (total: 5.8s)

sample55.0ms

Algorithm
intervals
Results
12.0ms121×body320valid
10.0ms516×pre80true
8.0ms260×body80nan
6.0ms90×body160valid
2.0ms16×body640valid
1.0ms29×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0219
1429
2769
3949
41029
51029

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.2b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.3b
(* (* 3.0 a) c)
24.2b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
14×add-exp-log add-cbrt-cube
10×add-log-exp
9×pow1
7×add-sqr-sqrt add-cube-cbrt
6×distribute-lft-out
5×times-frac associate-/l*
4×prod-exp cbrt-unprod
3×distribute-rgt-neg-in associate-*r* pow-prod-down
2×cbrt-undiv neg-sub0 associate-+l- flip3-+ div-exp sum-log flip-+ associate-/l/
1×+-commutative sub-neg flip3-- frac-2neg diff-log div-sub associate-*l* neg-log clear-num associate-/r* *-commutative flip-- div-inv
Counts
4 → 73
Calls
4 calls:
2.0ms
(- (* b b) (* (* 3.0 a) c))
34.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
7.0ms
(* (* 3.0 a) c)
11.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series254.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(- (* b b) (* (* 3.0 a) c))
106.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
24.0ms
(* (* 3.0 a) c)
80.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify54.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0419716
11930613
25002608

prune171.0ms

Filtered
85 candidates to 59 candidates (69.4%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.3b
(* (* 3.0 a) c)
0.3b
(* 3.0 (* a c))
0.4b
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite371.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
80×add-sqr-sqrt *-un-lft-identity
40×add-cube-cbrt
30×associate-/l*
28×add-exp-log add-cbrt-cube
20×distribute-lft-out-- difference-of-squares
14×pow1
10×distribute-rgt-neg-in sqrt-prod
8×prod-exp associate-/r* cbrt-unprod
7×cbrt-undiv div-exp
6×pow-prod-down associate-/r/
4×associate-*r* associate-*l* div-inv add-log-exp
3×flip3-- div-sub flip-- associate-/l/
2×associate-+l- frac-2neg clear-num *-commutative
1×flip3-+ flip-+
Counts
4 → 159
Calls
4 calls:
167.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
6.0ms
(* (* 3.0 a) c)
6.0ms
(* 3.0 (* a c))
186.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series335.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
19.0ms
(* (* 3.0 a) c)
25.0ms
(* 3.0 (* a c))
125.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify110.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
06843100
133072567
250012533

prune419.0ms

Filtered
171 candidates to 107 candidates (62.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.3b
(* (* 3.0 a) c)
0.3b
(* (* 3.0 a) c)
0.4b
(/ (/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite369.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
80×add-sqr-sqrt *-un-lft-identity
40×add-cube-cbrt
30×associate-/l*
28×add-exp-log add-cbrt-cube
20×distribute-lft-out-- difference-of-squares
14×pow1
10×distribute-rgt-neg-in sqrt-prod
8×prod-exp associate-/r* cbrt-unprod
7×cbrt-undiv div-exp
6×associate-*r* pow-prod-down associate-/r/
4×div-inv add-log-exp
3×flip3-- div-sub flip-- associate-/l/
2×associate-+l- frac-2neg associate-*l* clear-num *-commutative
1×flip3-+ flip-+
Counts
4 → 159
Calls
4 calls:
166.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
7.0ms
(* (* 3.0 a) c)
6.0ms
(* (* 3.0 a) c)
183.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series335.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
19.0ms
(* (* 3.0 a) c)
19.0ms
(* (* 3.0 a) c)
129.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify105.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
06273101
131392568
250012534

prune399.0ms

Filtered
171 candidates to 105 candidates (61.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 3.0 a) c)
0.3b
(* (* (* 3.0 a) (sqrt c)) (sqrt c))
0.4b
(/ (/ (+ (- (pow b 2) (pow b 2)) (* (* (* 3.0 a) (sqrt c)) (sqrt c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))
0.4b
(* (* 3.0 a) (sqrt c))

rewrite233.0ms

Algorithm
rewrite-expression-head
Rules
69×times-frac
55×add-sqr-sqrt *-un-lft-identity
35×add-exp-log add-cbrt-cube
31×add-cube-cbrt
27×associate-/l*
23×pow1
15×associate-*r*
14×prod-exp cbrt-unprod
12×pow-prod-down sqrt-prod distribute-lft-out-- difference-of-squares
6×cbrt-undiv distribute-rgt-neg-in div-exp
4×associate-/r/ add-log-exp
3×associate-*l* *-commutative div-inv
2×flip3-- div-sub flip--
1×associate-+l- frac-2neg clear-num associate-/r* associate-/l/
Counts
4 → 138
Calls
4 calls:
8.0ms
(* (* 3.0 a) c)
25.0ms
(* (* (* 3.0 a) (sqrt c)) (sqrt c))
185.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* (* (* 3.0 a) (sqrt c)) (sqrt c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))
8.0ms
(* (* 3.0 a) (sqrt c))

series261.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (* 3.0 a) c)
33.0ms
(* (* (* 3.0 a) (sqrt c)) (sqrt c))
149.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* (* (* 3.0 a) (sqrt c)) (sqrt c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))
54.0ms
(* (* 3.0 a) (sqrt c))

simplify117.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
07412503
139611990
250011966

prune359.0ms

Filtered
150 candidates to 87 candidates (58.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes126.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02016
12016

end0.0ms

sample1.5s

Algorithm
intervals
Results
352.0ms3628×body320valid
300.0ms16090×pre80true
257.0ms8090×body80nan
196.0ms2931×body160valid
67.0ms521×body640valid
33.0ms920×body80valid