Details

Time bar (total: 8.5s)

sample52.0ms

Algorithm
intervals
Results
12.0ms306×body80nan
10.0ms562×pre80true
9.0ms139×body160valid
4.0ms117×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0219
1429
2769
3949
41029
51029

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 3.0 a) c)
0.2b
(- (* b b) (* (* 3.0 a) c))
0.4b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
27.8b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite58.0ms

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:
8.0ms
(* (* 3.0 a) c)
3.0ms
(- (* b b) (* (* 3.0 a) c))
33.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
11.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series246.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (* 3.0 a) c)
43.0ms
(- (* b b) (* (* 3.0 a) c))
105.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
77.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify56.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0419716
11930613
25002608

prune177.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.4b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b b) (* (* 3.0 a) c))
0.2b
(* 3.0 (* a c))
0.3b
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 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))

rewrite355.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
79×add-sqr-sqrt *-un-lft-identity
39×add-cube-cbrt
30×associate-/l*
23×add-exp-log add-cbrt-cube
20×distribute-lft-out-- difference-of-squares
10×distribute-rgt-neg-in sqrt-prod
9×pow1
8×associate-/r*
7×cbrt-undiv div-exp
6×associate-/r/ add-log-exp
5×prod-exp cbrt-unprod
4×flip3-- flip-- div-inv
3×div-sub associate-*l* pow-prod-down associate-/l/
2×associate-+l- frac-2neg clear-num
1×sub-neg flip3-+ diff-log associate-*r* *-commutative flip-+
Counts
4 → 153
Calls
4 calls:
2.0ms
(- (* b b) (* (* 3.0 a) c))
6.0ms
(* 3.0 (* a c))
161.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
179.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series349.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(- (* b b) (* (* 3.0 a) c))
20.0ms
(* 3.0 (* a c))
160.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
123.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify112.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
07013126
131882612
250032569

prune433.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 3.0 a) c)
0.2b
(- (* b b) (* (* 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))

rewrite168.0ms

Algorithm
rewrite-expression-head
Rules
438×times-frac
271×add-sqr-sqrt *-un-lft-identity
226×distribute-rgt-neg-in
188×distribute-lft-neg-in
120×associate-/l*
119×add-cube-cbrt
76×distribute-lft-out-- difference-of-squares
74×neg-mul-1
38×sqrt-prod
23×add-exp-log add-cbrt-cube
19×associate-/r*
9×pow1
7×cbrt-undiv div-exp
6×associate-/r/ distribute-neg-frac add-log-exp
5×prod-exp cbrt-unprod
4×flip3-- flip-- div-inv
3×div-sub distribute-frac-neg associate-*r* pow-prod-down
2×neg-sub0 frac-2neg clear-num
1×sub-neg diff-log associate-*l* *-commutative associate-/l/
Counts
4 → 428
Calls
4 calls:
6.0ms
(* (* 3.0 a) c)
3.0ms
(- (* b b) (* (* 3.0 a) c))
44.0ms
(/ (- (* (* 3.0 a) c)) (- (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
87.0ms
(/ (/ (- (* (* 3.0 a) c)) (- (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) (* 3.0 a))

series415.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (* 3.0 a) c)
43.0ms
(- (* b b) (* (* 3.0 a) c))
195.0ms
(/ (- (* (* 3.0 a) c)) (- (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
158.0ms
(/ (/ (- (* (* 3.0 a) c)) (- (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) (* 3.0 a))

simplify96.0ms

Algorithm
egg-herbie
Counts
440 → 440
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
012397847
150027603

prune978.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ c (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.2b
(- (* b b) (* (* 3.0 a) c))
0.3b
(/ (* 3.0 a) (/ c (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
0.3b
(/ (/ (- (* 3.0 a)) -1) (/ (* 3.0 a) (/ c (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))))

rewrite187.0ms

Algorithm
rewrite-expression-head
Rules
2492×times-frac
960×add-sqr-sqrt *-un-lft-identity
644×add-cube-cbrt
178×distribute-rgt-neg-in
158×distribute-lft-out-- difference-of-squares
99×distribute-lft-neg-in neg-mul-1
84×div-inv
79×sqrt-prod
77×associate-/r/
66×associate-/r*
59×add-exp-log add-cbrt-cube
34×cbrt-undiv div-exp
27×flip3-- flip--
26×associate-/l*
6×prod-exp cbrt-unprod add-log-exp
4×pow1
3×frac-2neg clear-num
2×div-sub distribute-frac-neg
1×neg-sub0 sub-neg diff-log associate-/l/
Counts
4 → 923
Calls
4 calls:
20.0ms
(/ c (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
3.0ms
(- (* b b) (* (* 3.0 a) c))
29.0ms
(/ (* 3.0 a) (/ c (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
49.0ms
(/ (/ (- (* 3.0 a)) -1) (/ (* 3.0 a) (/ c (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))))

series530.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(/ c (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
44.0ms
(- (* b b) (* (* 3.0 a) c))
161.0ms
(/ (* 3.0 a) (/ c (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
153.0ms
(/ (/ (- (* 3.0 a)) -1) (/ (* 3.0 a) (/ c (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))))

simplify254.0ms

Algorithm
egg-herbie
Counts
935 → 935
Iterations

Useful iterations: 1 (58.0ms)

IterNodesCost
0395423172
1500222936

prune2.5s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes149.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02514
12914
22914

end0.0ms

sample1.3s

Algorithm
intervals
Results
301.0ms16383×pre80true
291.0ms4494×body160valid
261.0ms8383×body80nan
121.0ms3505×body80valid
0.0ms1×body320valid