Details

Time bar (total: 6.0s)

sample56.0ms

Algorithm
intervals
Results
13.0ms131×body320valid
10.0ms522×pre80true
8.0ms266×body80nan
5.0ms80×body160valid
3.0ms19×body640valid
1.0ms26×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0219
1429
2769
3949
41029
51029

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 53.6b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.2b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.3b
(* (* 3.0 a) c)
22.7b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite35.0ms

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:
4.0ms
(- (* b b) (* (* 3.0 a) c))
12.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
9.0ms
(* (* 3.0 a) c)
8.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series257.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(- (* b b) (* (* 3.0 a) c))
106.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
19.0ms
(* (* 3.0 a) c)
82.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify59.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0419716
11930613
25002608

prune176.0ms

Filtered
85 candidates to 59 candidates (69.4%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New83285
Fresh000
Picked101
Done000
Total84286

Merged error: 0.1b

Counts
86 → 2

localize18.0ms

Local error

Found 4 expressions with local error:

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)))))
0.3b
(* (* 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))

rewrite77.0ms

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:
5.0ms
(* 3.0 (* a c))
30.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
5.0ms
(* (* 3.0 a) c)
31.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series334.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 3.0 (* a c))
165.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
19.0ms
(* (* 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))

simplify119.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
06843100
132962567
250022533

prune639.0ms

Filtered
171 candidates to 107 candidates (62.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1647171
Fresh011
Picked101
Done000
Total1658173

Merged error: 0b

Counts
173 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 3.0 (* a c))
0.3b
(/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
0.3b
(* (* 3.0 a) c)
0.3b
(* (/ (* 3.0 (* a c)) 3.0) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
317×times-frac
237×add-sqr-sqrt
226×*-un-lft-identity
141×add-cube-cbrt
113×add-exp-log
89×associate-*r*
73×add-cbrt-cube
45×div-exp
42×distribute-lft-out-- difference-of-squares
41×prod-exp
27×cbrt-unprod associate-/l*
24×cbrt-undiv
21×distribute-rgt-neg-in sqrt-prod
16×pow1
14×associate-/r/
11×associate-*l*
10×div-inv
7×flip3-- pow-prod-down flip--
5×rec-exp 1-exp
4×add-log-exp unswap-sqr
3×associate-/r* *-commutative
1×frac-times frac-2neg associate-*r/ associate-*l/ clear-num associate-/l/
Counts
4 → 304
Calls
4 calls:
5.0ms
(* 3.0 (* a c))
16.0ms
(/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
6.0ms
(* (* 3.0 a) c)
43.0ms
(* (/ (* 3.0 (* a c)) 3.0) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

series304.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* 3.0 (* a c))
123.0ms
(/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
19.0ms
(* (* 3.0 a) c)
143.0ms
(* (/ (* 3.0 (* a c)) 3.0) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

simplify79.0ms

Algorithm
egg-herbie
Counts
316 → 316
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
012894850
150014259

prune637.0ms

Filtered
316 candidates to 163 candidates (51.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New3124316
Fresh527
Picked011
Done000
Total3177324

Merged error: 0b

Counts
324 → 7

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ 3.0 1) (* (/ (* a c) 3.0) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)))
0.3b
(/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
0.3b
(* (* 3.0 a) c)
0.4b
(* (/ (* a c) 3.0) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
326×times-frac
325×add-exp-log
243×add-sqr-sqrt
232×*-un-lft-identity
154×add-cbrt-cube
150×div-exp
147×add-cube-cbrt
131×prod-exp
89×associate-*r*
59×cbrt-unprod
58×cbrt-undiv
42×distribute-lft-out-- difference-of-squares
29×1-exp
27×associate-/l*
21×distribute-rgt-neg-in associate-*l* sqrt-prod
16×pow1
14×associate-/r/
13×rec-exp
11×div-inv
7×flip3-- pow-prod-down flip--
6×frac-times associate-*r/
4×associate-*l/ add-log-exp unswap-sqr
3×associate-/r* *-commutative
1×frac-2neg clear-num associate-/l/
Counts
4 → 377
Calls
4 calls:
31.0ms
(* (/ 3.0 1) (* (/ (* a c) 3.0) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)))
16.0ms
(/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
6.0ms
(* (* 3.0 a) c)
39.0ms
(* (/ (* a c) 3.0) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

series444.0ms

Counts
4 → 12
Calls
4 calls:
149.0ms
(* (/ 3.0 1) (* (/ (* a c) 3.0) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)))
121.0ms
(/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
19.0ms
(* (* 3.0 a) c)
155.0ms
(* (/ (* a c) 3.0) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

simplify94.0ms

Algorithm
egg-herbie
Counts
389 → 389
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
016576421
150015436

prune692.0ms

Filtered
389 candidates to 178 candidates (45.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New3872389
Fresh235
Picked101
Done011
Total3906396

Merged error: 0b

Counts
396 → 6

regimes91.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02513
12513

end0.0ms

sample1.6s

Algorithm
intervals
Results
373.0ms3636×body320valid
303.0ms15970×pre80true
255.0ms7970×body80nan
198.0ms2903×body160valid
73.0ms524×body640valid
32.0ms937×body80valid