Details

Time bar (total: 4.0s)

sample102.0ms

Algorithm
intervals
Results
16.0ms121×body320valid
14.0ms91×body160valid
9.0ms312×pre80true
4.0ms22×body640valid
3.0ms56×body80nan
1.0ms22×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0249
1459
2799
3979
41059
51059

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 54.4b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.1b
(- (* b b) (* (* 4.0 a) c))
0.1b
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
26.0b
(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
10×add-log-exp
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
7×add-cube-cbrt
6×distribute-lft-out
5×pow1 times-frac associate-/l*
3×distribute-rgt-neg-in sqrt-prod
2×cbrt-undiv neg-sub0 associate-+l- flip3-- flip3-+ sqrt-div div-exp sum-log flip-- flip-+ associate-/l/
1×+-commutative sub-neg rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 diff-log div-sub neg-log prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 70
Calls
4 calls:
3.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
3.0ms
(- (* b b) (* (* 4.0 a) c))
11.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
8.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))

series63.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
8.0ms
(- (* b b) (* (* 4.0 a) c))
24.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
17.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))

simplify45.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0396773
11550683
25001673

prune122.0ms

Filtered
82 candidates to 63 candidates (23.2%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New79382
Fresh000
Picked101
Done000
Total80383

Merged error: 0.1b

Counts
83 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 4.0 a) c))
0.1b
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.2b
(/ (/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
0.3b
(/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
82×add-sqr-sqrt *-un-lft-identity
38×add-cube-cbrt
30×associate-/l*
22×distribute-lft-out-- difference-of-squares
18×add-exp-log add-cbrt-cube
11×distribute-rgt-neg-in sqrt-prod
10×add-log-exp
8×associate-/r*
7×cbrt-undiv div-exp
6×associate-/r/
5×flip3-- flip--
4×pow1 div-inv
3×diff-log associate-/l/
2×sub-neg frac-2neg prod-exp clear-num cbrt-unprod
1×associate--l- neg-sub0 flip3-+ neg-log flip-+
Counts
4 → 151
Calls
4 calls:
3.0ms
(- (* b b) (* (* 4.0 a) c))
8.0ms
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
16.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
12.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

series127.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(- (* b b) (* (* 4.0 a) c))
15.0ms
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
44.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
60.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

simplify114.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (91.0ms)

IterNodesCost
06432666
132102408
250012396

prune290.0ms

Filtered
163 candidates to 106 candidates (35.0%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1576163
Fresh112
Picked101
Done000
Total1597166

Merged error: 0b

Counts
166 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.2b
(/ 1 (* (/ (* 2.0 a) (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))))
0.3b
(* (/ (* 2.0 a) (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
0.3b
(/ (* 2.0 a) (* 4.0 (* a c)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
152×add-exp-log
92×add-cbrt-cube
73×prod-exp
46×div-exp
41×cbrt-unprod
26×cbrt-undiv
18×add-sqr-sqrt
16×*-un-lft-identity
9×pow1
8×add-cube-cbrt rec-exp 1-exp add-log-exp
7×associate-*r*
5×flip3-- times-frac associate-*l* associate-/r/ flip--
4×frac-times associate-*r/ associate-/l* distribute-lft-out-- difference-of-squares
3×sub-neg div-inv
2×distribute-rgt-in pow-flip distribute-rgt-neg-in frac-2neg distribute-lft-in diff-log pow-prod-down associate-*l/ clear-num associate-/r* sqrt-prod
1×associate--l- neg-sub0 neg-log *-commutative inv-pow unswap-sqr
Counts
4 → 145
Calls
4 calls:
8.0ms
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
20.0ms
(/ 1 (* (/ (* 2.0 a) (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))))
17.0ms
(* (/ (* 2.0 a) (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
7.0ms
(/ (* 2.0 a) (* 4.0 (* a c)))

series88.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
45.0ms
(/ 1 (* (/ (* 2.0 a) (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))))
26.0ms
(* (/ (* 2.0 a) (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
2.0ms
(/ (* 2.0 a) (* 4.0 (* a c)))

simplify126.0ms

Algorithm
egg-herbie
Counts
157 → 157
Iterations

Useful iterations: 2 (108.0ms)

IterNodesCost
07972240
147491690
250021682

prune170.0ms

Filtered
157 candidates to 77 candidates (51.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1552157
Fresh336
Picked011
Done000
Total1586164

Merged error: 0b

Counts
164 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
0.1b
(- (* b b) (* (* 4.0 a) c))
0.1b
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.4b
(/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (/ (* (/ 2.0 4.0) 1) c))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
462×times-frac
276×add-sqr-sqrt *-un-lft-identity
160×add-cube-cbrt
98×add-exp-log
66×div-exp
58×distribute-lft-out-- difference-of-squares
38×add-cbrt-cube div-inv
30×associate-/l*
29×distribute-rgt-neg-in sqrt-prod
21×cbrt-undiv
19×associate-/r/
16×prod-exp
15×1-exp
14×associate-/r*
11×flip3-- flip--
10×add-log-exp
7×rec-exp
5×pow1
4×cbrt-unprod
3×diff-log
2×sub-neg frac-2neg clear-num
1×associate--l- neg-sub0 pow-flip neg-log associate-/l/ inv-pow
Counts
4 → 346
Calls
4 calls:
10.0ms
(/ 1 (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
3.0ms
(- (* b b) (* (* 4.0 a) c))
8.0ms
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
23.0ms
(/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (/ (* (/ 2.0 4.0) 1) c))

series82.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(/ 1 (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
8.0ms
(- (* b b) (* (* 4.0 a) c))
15.0ms
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
32.0ms
(/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (/ (* (/ 2.0 4.0) 1) c))

simplify87.0ms

Algorithm
egg-herbie
Counts
358 → 358
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
014476910
150016329

prune444.0ms

Filtered
358 candidates to 158 candidates (55.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New3580358
Fresh044
Picked011
Done011
Total3586364

Merged error: 0b

Counts
364 → 6

regimes174.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02512
12912
22912

end0.0ms

sample1.6s

Algorithm
intervals
Results
501.0ms3628×body320valid
286.0ms2987×body160valid
278.0ms9494×pre80true
91.0ms498×body640valid
75.0ms1494×body80nan
44.0ms887×body80valid

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