Details

Time bar (total: 6.0s)

sample50.0ms

Algorithm
intervals
Results
10.0ms568×pre80true
9.0ms312×body80nan
9.0ms137×body160valid
4.0ms119×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: 27.4b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 3.0 a) c)
0.3b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.3b
(- (* b b) (* (* 3.0 a) c))
27.3b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite55.0ms

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:
6.0ms
(* (* 3.0 a) c)
33.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
2.0ms
(- (* b b) (* (* 3.0 a) c))
11.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series253.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (* 3.0 a) c)
107.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
46.0ms
(- (* b b) (* (* 3.0 a) c))
80.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify57.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0419716
11930613
25002608

prune177.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.5b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite199.0ms

Algorithm
rewrite-expression-head
Rules
69×times-frac
52×add-sqr-sqrt *-un-lft-identity
28×add-cube-cbrt
27×associate-/l*
26×add-exp-log add-cbrt-cube
14×pow1
12×distribute-lft-out-- difference-of-squares
8×prod-exp cbrt-unprod
6×cbrt-undiv distribute-rgt-neg-in div-exp pow-prod-down sqrt-prod add-log-exp
4×associate-*r* associate-*l* associate-/r/
3×flip3-- flip-- div-inv
2×div-sub *-commutative
1×associate-+l- sub-neg frac-2neg diff-log clear-num associate-/r* associate-/l/
Counts
4 → 123
Calls
4 calls:
8.0ms
(* (* 3.0 a) c)
2.0ms
(- (* b b) (* (* 3.0 a) c))
6.0ms
(* 3.0 (* a c))
178.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series211.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (* 3.0 a) c)
46.0ms
(- (* b b) (* (* 3.0 a) c))
19.0ms
(* 3.0 (* a c))
126.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify98.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
06342091
132361742
250011727

prune351.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

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

rewrite49.0ms

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:
6.0ms
(* (* 3.0 a) c)
29.0ms
(/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
2.0ms
(- (* b b) (* (* 3.0 a) c))
6.0ms
(* 3.0 (* a c))

series268.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (* 3.0 a) c)
180.0ms
(/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
48.0ms
(- (* b b) (* (* 3.0 a) c))
20.0ms
(* 3.0 (* a c))

simplify95.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
06211824
134071665
250021665

prune322.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
243×times-frac
171×add-sqr-sqrt
161×*-un-lft-identity
77×add-cube-cbrt
76×associate-*r*
72×add-exp-log
54×add-cbrt-cube
51×cbrt-prod
42×distribute-lft-out-- difference-of-squares
30×cbrt-undiv div-exp
21×distribute-rgt-neg-in prod-exp sqrt-prod cbrt-unprod
19×div-inv
13×associate-/r*
11×associate-/l*
7×associate-*l*
6×pow1 add-log-exp
4×associate-/r/ unswap-sqr
3×flip3-- flip--
2×frac-2neg clear-num
1×frac-times sub-neg diff-log associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
4 → 268
Calls
4 calls:
3.0ms
(- (* b b) (* (* 3.0 a) c))
28.0ms
(/ (/ (* a c) (cbrt 3.0)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
4.0ms
(/ (* a c) (cbrt 3.0))
83.0ms
(* (/ 3.0 (* (cbrt 3.0) (cbrt 3.0))) (/ (/ (* a c) (cbrt 3.0)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

series1.0s

Counts
4 → 12
Calls
4 calls:
50.0ms
(- (* b b) (* (* 3.0 a) c))
629.0ms
(/ (/ (* a c) (cbrt 3.0)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
76.0ms
(/ (* a c) (cbrt 3.0))
290.0ms
(* (/ 3.0 (* (cbrt 3.0) (cbrt 3.0))) (/ (/ (* a c) (cbrt 3.0)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

simplify64.0ms

Algorithm
egg-herbie
Counts
280 → 280
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
011524566
150024093

prune749.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes366.0ms

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
02012
12012

end0.0ms

sample1.3s

Algorithm
intervals
Results
303.0ms4488×body160valid
299.0ms16640×pre80true
277.0ms8640×body80nan
116.0ms3511×body80valid
0.0ms1×body320valid