Details

Time bar (total: 9.9s)

sample60.0ms

Algorithm
intervals
Results
15.0ms108×body320valid
9.0ms499×pre80true
8.0ms243×body80nan
7.0ms105×body160valid
2.0ms17×body640valid
1.0ms26×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0249
1459
2799
3979
41059
51059

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.8b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.1b
(- (* b b) (* (* 4.0 a) c))
0.2b
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
28.3b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
10×add-log-exp
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
7×add-cube-cbrt
6×distribute-lft-out
5×pow1 times-frac associate-/l*
3×distribute-rgt-neg-in sqrt-prod
2×cbrt-undiv neg-sub0 associate-+l- flip3-- flip3-+ sqrt-div div-exp sum-log flip-- flip-+ associate-/l/
1×+-commutative sub-neg rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 diff-log div-sub neg-log prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 70
Calls
4 calls:
3.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
3.0ms
(- (* b b) (* (* 4.0 a) c))
36.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
11.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

series303.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
44.0ms
(- (* b b) (* (* 4.0 a) c))
106.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
81.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

simplify47.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0405779
11563685
25002674

prune204.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.1b
(- (* b b) (* (* 4.0 a) c))
0.3b
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
0.3b
(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
82×add-sqr-sqrt *-un-lft-identity
38×add-cube-cbrt
30×associate-/l*
22×distribute-lft-out-- difference-of-squares
18×add-exp-log add-cbrt-cube
11×distribute-rgt-neg-in sqrt-prod
10×add-log-exp
8×associate-/r*
7×cbrt-undiv div-exp
6×associate-/r/
5×flip3-- flip--
4×pow1 div-inv
3×diff-log associate-/l/
2×sub-neg frac-2neg prod-exp clear-num cbrt-unprod
1×associate--l- neg-sub0 flip3-+ neg-log flip-+
Counts
4 → 151
Calls
4 calls:
12.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
2.0ms
(- (* b b) (* (* 4.0 a) c))
28.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
41.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))

series461.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
44.0ms
(- (* b b) (* (* 4.0 a) c))
184.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
154.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))

simplify114.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
06422665
131752400
250022388

prune419.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 4.0 a) c))
0.2b
(/ 1 (/ (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) 4.0) (* a c)))
0.3b
(/ (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) 4.0) (* a c))
0.3b
(/ (/ 1 (/ (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) 4.0) (* a c))) (* 2.0 a))

rewrite172.0ms

Algorithm
rewrite-expression-head
Rules
880×times-frac
380×add-sqr-sqrt *-un-lft-identity
236×add-cube-cbrt
198×add-exp-log
122×div-exp
120×associate-/l*
90×add-cbrt-cube
72×distribute-lft-out-- difference-of-squares
51×cbrt-undiv
36×distribute-rgt-neg-in prod-exp sqrt-prod
31×associate-/r*
27×div-inv
15×rec-exp 1-exp
14×cbrt-unprod
6×add-log-exp
5×pow1
3×frac-2neg clear-num associate-/r/
2×div-sub associate-/l/
1×sub-neg flip3-- pow-flip diff-log flip-- inv-pow
Counts
4 → 475
Calls
4 calls:
3.0ms
(- (* b b) (* (* 4.0 a) c))
34.0ms
(/ 1 (/ (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) 4.0) (* a c)))
36.0ms
(/ (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) 4.0) (* a c))
63.0ms
(/ (/ 1 (/ (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) 4.0) (* a c))) (* 2.0 a))

series455.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (* b b) (* (* 4.0 a) c))
167.0ms
(/ 1 (/ (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) 4.0) (* a c)))
110.0ms
(/ (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) 4.0) (* a c))
134.0ms
(/ (/ 1 (/ (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) 4.0) (* a c))) (* 2.0 a))

simplify111.0ms

Algorithm
egg-herbie
Counts
487 → 487
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
017558758
150017862

prune982.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt 4.0)) c)
0.2b
(/ 1 (/ (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt 4.0)) c))
0.3b
(/ (* (* a (sqrt 4.0)) (/ 1 (/ (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt 4.0)) c))) (* 2.0 a))
0.3b
(* (* a (sqrt 4.0)) (/ 1 (/ (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt 4.0)) c)))

rewrite464.0ms

Algorithm
rewrite-expression-head
Rules
3007×times-frac
1791×add-sqr-sqrt *-un-lft-identity
1191×add-cube-cbrt
675×sqrt-prod
431×associate-*r*
317×add-exp-log
300×distribute-lft-out-- difference-of-squares
150×distribute-rgt-neg-in div-exp
146×associate-/r*
143×add-cbrt-cube
111×prod-exp
63×cbrt-undiv
50×associate-/l*
45×cbrt-unprod
36×div-inv
21×rec-exp 1-exp
10×pow1
4×add-log-exp
3×frac-2neg pow-prod-down clear-num associate-/l/
2×div-sub associate-*r/ associate-/r/ un-div-inv
1×pow-flip associate-*l* *-commutative inv-pow
Counts
4 → 1346
Calls
4 calls:
42.0ms
(/ (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt 4.0)) c)
54.0ms
(/ 1 (/ (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt 4.0)) c))
63.0ms
(/ (* (* a (sqrt 4.0)) (/ 1 (/ (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt 4.0)) c))) (* 2.0 a))
150.0ms
(* (* a (sqrt 4.0)) (/ 1 (/ (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt 4.0)) c)))

series1.2s

Counts
4 → 12
Calls
4 calls:
169.0ms
(/ (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt 4.0)) c)
216.0ms
(/ 1 (/ (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt 4.0)) c))
418.0ms
(/ (* (* a (sqrt 4.0)) (/ 1 (/ (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt 4.0)) c))) (* 2.0 a))
444.0ms
(* (* a (sqrt 4.0)) (/ 1 (/ (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt 4.0)) c)))

simplify288.0ms

Algorithm
egg-herbie
Counts
1358 → 1358
Iterations

Useful iterations: 1 (61.0ms)

IterNodesCost
0360727234
1500125646

prune2.6s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes101.0ms

Accuracy

0% (0.3b 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
02816
12816

end0.0ms

sample1.6s

Algorithm
intervals
Results
381.0ms3595×body320valid
305.0ms16208×pre80true
281.0ms8208×body80nan
207.0ms2927×body160valid
68.0ms488×body640valid
35.0ms990×body80valid