Details

Time bar (total: 9.1s)

sample50.0ms

Algorithm
intervals
Results
12.0ms526×pre80true
10.0ms158×body160valid
8.0ms270×body80nan
3.0ms98×body80valid

simplify11.0ms

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: 31.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 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))
31.0b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite63.0ms

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:
7.0ms
(* (* 3.0 a) c)
3.0ms
(- (* b b) (* (* 3.0 a) c))
39.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
12.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series263.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (* 3.0 a) c)
50.0ms
(- (* b b) (* (* 3.0 a) c))
109.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
84.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify55.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0419716
11930613
25002608

prune184.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.4b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite395.0ms

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:
6.0ms
(* 3.0 (* a c))
3.0ms
(- (* 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)))))
200.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series369.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* 3.0 (* a c))
49.0ms
(- (* b b) (* (* 3.0 a) c))
171.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
128.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify109.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
07013126
131882612
250032569

prune447.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite298.0ms

Algorithm
rewrite-expression-head
Rules
518×times-frac
317×add-sqr-sqrt *-un-lft-identity
173×add-cube-cbrt
72×distribute-lft-out-- difference-of-squares
62×associate-/l*
43×add-exp-log add-cbrt-cube
42×div-inv
36×distribute-rgt-neg-in sqrt-prod
19×cbrt-undiv div-exp
10×associate-/r* associate-/r/
9×pow1 prod-exp cbrt-unprod
6×flip3-- flip-- add-log-exp
3×associate-*l* pow-prod-down
2×frac-2neg clear-num associate-/l/
1×sub-neg diff-log associate-*r* *-commutative
Counts
4 → 358
Calls
4 calls:
6.0ms
(* 3.0 (* a c))
236.0ms
(/ (/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
3.0ms
(- (* b b) (* (* 3.0 a) c))
29.0ms
(/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series421.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* 3.0 (* a c))
154.0ms
(/ (/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
50.0ms
(- (* b b) (* (* 3.0 a) c))
198.0ms
(/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify86.0ms

Algorithm
egg-herbie
Counts
370 → 370
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
012347141
150026796

prune796.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite304.0ms

Algorithm
rewrite-expression-head
Rules
2753×times-frac
1517×add-sqr-sqrt *-un-lft-identity
1112×distribute-rgt-neg-in
950×distribute-lft-neg-in
869×add-cube-cbrt
324×distribute-lft-out-- difference-of-squares
186×div-inv
162×sqrt-prod
126×neg-mul-1
121×associate-/l*
46×associate-/r/
25×add-exp-log add-cbrt-cube
24×flip3-- flip--
17×associate-/r*
9×pow1
8×cbrt-undiv div-exp
6×prod-exp cbrt-unprod add-log-exp
3×associate-*l* pow-prod-down
2×frac-2neg clear-num associate-/l/
1×neg-sub0 sub-neg diff-log div-sub distribute-frac-neg associate-*r* *-commutative distribute-neg-frac
Counts
4 → 1393
Calls
4 calls:
6.0ms
(* 3.0 (* a c))
127.0ms
(/ (- (/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) (- a))
3.0ms
(- (* b b) (* (* 3.0 a) c))
30.0ms
(/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series410.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 3.0 (* a c))
150.0ms
(/ (- (/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) (- a))
49.0ms
(- (* b b) (* (* 3.0 a) c))
187.0ms
(/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify329.0ms

Algorithm
egg-herbie
Counts
1405 → 1405
Iterations

Useful iterations: 1 (54.0ms)

IterNodesCost
0371635424
1500135003

prune3.0s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes134.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02614
12814
23414
33914
43914

end0.0ms

sample1.3s

Algorithm
intervals
Results
303.0ms16446×pre80true
289.0ms4438×body160valid
257.0ms8446×body80nan
116.0ms3562×body80valid