Details

Time bar (total: 5.5s)

sample50.0ms

Algorithm
intervals
Results
10.0ms153×body160valid
10.0ms552×pre80true
10.0ms296×body80nan
3.0ms103×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: 30.6b

localize10.0ms

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))
30.5b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite62.0ms

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:
3.0ms
(- (* b b) (* (* 3.0 a) c))
7.0ms
(* (* 3.0 a) c)
36.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
15.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series252.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (* b b) (* (* 3.0 a) c))
24.0ms
(* (* 3.0 a) c)
105.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
79.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify56.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0419716
11930613
25002608

prune194.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.5b

localize18.0ms

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))

rewrite392.0ms

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:
6.0ms
(* 3.0 (* a c))
7.0ms
(* (* 3.0 a) c)
177.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
195.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series333.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* 3.0 (* a c))
23.0ms
(* (* 3.0 a) c)
165.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 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))

simplify111.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
06843100
133072567
250012533

prune475.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
73×times-frac
62×add-sqr-sqrt *-un-lft-identity
30×add-cube-cbrt
28×add-exp-log add-cbrt-cube
16×distribute-lft-out-- difference-of-squares
14×pow1
9×prod-exp cbrt-unprod div-inv
8×distribute-rgt-neg-in sqrt-prod
7×cbrt-undiv div-exp associate-/r* associate-/l*
6×pow-prod-down add-log-exp
4×associate-*r* associate-*l*
2×flip3-- associate-/r/ *-commutative flip--
1×sub-neg frac-2neg diff-log clear-num associate-/l/
Counts
4 → 132
Calls
4 calls:
3.0ms
(- (* b b) (* (* 3.0 a) c))
6.0ms
(* 3.0 (* a c))
7.0ms
(* (* 3.0 a) c)
29.0ms
(/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series269.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(- (* b b) (* (* 3.0 a) c))
19.0ms
(* 3.0 (* a c))
23.0ms
(* (* 3.0 a) c)
183.0ms
(/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify98.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
06211824
134051665
250011665

prune479.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ (- (pow (* b b) 3) (pow (* (* 3.0 a) c) 3)) (+ (* (* (* 3.0 a) c) (+ (* (* 3.0 a) c) (pow b 2))) (* (* b b) (* b b))))
0.4b
(* (* b b) (* b b))
0.7b
(pow (* b b) 3)
0.8b
(pow (* (* 3.0 a) c) 3)

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
129×pow1
48×add-sqr-sqrt
39×times-frac
37×pow-prod-up
32×*-un-lft-identity difference-of-squares
27×add-exp-log pow-prod-down add-cbrt-cube
26×sqr-pow
24×add-cube-cbrt
23×pow-sqr
19×pow-plus
14×pow2
13×associate-/l*
12×prod-exp cbrt-unprod
10×unpow-prod-down cube-prod
9×pow-pow
6×pow-unpow
5×pow-exp rem-cube-cbrt
4×difference-cubes distribute-lft-out-- add-log-exp
3×associate-/r*
2×cube-mult pow-to-exp unpow3 associate-/r/ associate-/l/
1×cbrt-undiv flip3-- frac-2neg flip3-+ div-sub swap-sqr div-exp associate-*r* associate-*l* clear-num *-commutative flip-- flip-+ div-inv unswap-sqr
Counts
4 → 186
Calls
4 calls:
80.0ms
(/ (- (pow (* b b) 3) (pow (* (* 3.0 a) c) 3)) (+ (* (* (* 3.0 a) c) (+ (* (* 3.0 a) c) (pow b 2))) (* (* b b) (* b b))))
13.0ms
(* (* b b) (* b b))
5.0ms
(pow (* b b) 3)
7.0ms
(pow (* (* 3.0 a) c) 3)

series258.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(/ (- (pow (* b b) 3) (pow (* (* 3.0 a) c) 3)) (+ (* (* (* 3.0 a) c) (+ (* (* 3.0 a) c) (pow b 2))) (* (* b b) (* b b))))
30.0ms
(* (* b b) (* b b))
45.0ms
(pow (* b b) 3)
53.0ms
(pow (* (* 3.0 a) c) 3)

simplify116.0ms

Algorithm
egg-herbie
Counts
198 → 198
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
06042442
129452305
250022289

prune639.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes136.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03326
13326

end0.0ms

sample1.3s

Algorithm
intervals
Results
319.0ms4560×body160valid
294.0ms16474×pre80true
277.0ms8474×body80nan
117.0ms3440×body80valid