Details

Time bar (total: 6.7s)

sample54.0ms

Algorithm
intervals
Results
12.0ms526×pre80true
9.0ms148×body160valid
8.0ms270×body80nan
3.0ms108×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0219
1429
2769
3949
41029
51029

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.7b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b b) (* (* 3.0 a) c))
0.3b
(* (* 3.0 a) c)
0.4b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
29.6b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite119.0ms

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
(- (* b b) (* (* 3.0 a) c))
19.0ms
(* (* 3.0 a) c)
69.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
21.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series267.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- (* b b) (* (* 3.0 a) c))
21.0ms
(* (* 3.0 a) c)
113.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
87.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify55.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0419716
11930613
25002608

prune181.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.5b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 3.0 a) c)
0.3b
(* 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))

rewrite603.0ms

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:
18.0ms
(* (* 3.0 a) c)
16.0ms
(* 3.0 (* a c))
268.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
293.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series352.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (* 3.0 a) c)
21.0ms
(* 3.0 (* a c))
176.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
135.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify118.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (91.0ms)

IterNodesCost
06843100
133072567
250012533

prune463.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite207.0ms

Algorithm
rewrite-expression-head
Rules
518×times-frac
318×add-sqr-sqrt *-un-lft-identity
174×add-cube-cbrt
72×distribute-lft-out-- difference-of-squares
62×associate-/l*
48×add-exp-log add-cbrt-cube
42×div-inv
36×distribute-rgt-neg-in sqrt-prod
19×cbrt-undiv div-exp
14×pow1
12×prod-exp cbrt-unprod
10×associate-/r* associate-/r/
6×pow-prod-down
5×flip3-- flip--
4×associate-*r* associate-*l* add-log-exp
2×frac-2neg clear-num *-commutative associate-/l/
Counts
4 → 364
Calls
4 calls:
89.0ms
(/ (/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
17.0ms
(* (* 3.0 a) c)
17.0ms
(* 3.0 (* a c))
58.0ms
(/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series540.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(/ (/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
20.0ms
(* (* 3.0 a) c)
25.0ms
(* 3.0 (* a c))
340.0ms
(/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify86.0ms

Algorithm
egg-herbie
Counts
376 → 376
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
012267115
150016759

prune846.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite200.0ms

Algorithm
rewrite-expression-head
Rules
147×times-frac
119×add-sqr-sqrt
114×*-un-lft-identity
58×associate-*r*
54×add-cube-cbrt
37×add-exp-log add-cbrt-cube
30×distribute-lft-out-- difference-of-squares
18×div-inv
15×distribute-rgt-neg-in sqrt-prod
12×cbrt-undiv div-exp
11×pow1
10×prod-exp associate-/r* cbrt-unprod
8×associate-/l*
4×associate-*l* pow-prod-down associate-/r/ add-log-exp
2×flip3-- frac-2neg clear-num *-commutative flip-- unswap-sqr
1×associate-*r/ associate-/l/
Counts
4 → 199
Calls
4 calls:
105.0ms
(* 3.0 (/ (/ (* a c) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
19.0ms
(* (* 3.0 a) c)
48.0ms
(/ (/ (* a c) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
14.0ms
(/ (* a c) 3.0)

series432.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(* 3.0 (/ (/ (* a c) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
21.0ms
(* (* 3.0 a) c)
195.0ms
(/ (/ (* a c) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
21.0ms
(/ (* a c) 3.0)

simplify100.0ms

Algorithm
egg-herbie
Counts
211 → 211
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
06992573
136462318
250012318

prune450.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes134.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02012
12012

end0.0ms

sample1.4s

Algorithm
intervals
Results
285.0ms16608×pre80true
278.0ms4461×body160valid
263.0ms8608×body80nan
118.0ms3539×body80valid