Details

Time bar (total: 3.9s)

sample76.0ms

Algorithm
intervals
Results
15.0ms250×body80nan
14.0ms506×pre80true
14.0ms147×body160valid
6.0ms41×body320valid
3.0ms68×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
09116
19116

prune8.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 41.9b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* 4.0 (* a c))))
0.2b
(- (* b b) (* 4.0 (* a c)))
0.2b
(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
37.4b
(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
13×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-log-exp
7×add-cube-cbrt
6×times-frac sqrt-prod associate-/l* difference-of-squares
5×pow1
4×flip3-- flip--
3×distribute-lft-out--
2×cbrt-undiv sub-neg sqrt-div diff-log div-exp associate-/l/
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-sub prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 72
Calls
4 calls:
3.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))
3.0ms
(- (* b b) (* 4.0 (* a c)))
10.0ms
(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
7.0ms
(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)

series66.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))
9.0ms
(- (* b b) (* 4.0 (* a c)))
28.0ms
(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
15.0ms
(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)

simplify49.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
049591319
149591319

prune131.0ms

Filtered
62 candidates to 84 candidates (-35.5%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New80484
Fresh000
Picked101
Done000
Total81485

Merged error: 0.2b

Counts
85 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
54×times-frac
51×*-un-lft-identity
29×add-sqr-sqrt add-cube-cbrt
21×associate-/l*
18×add-exp-log add-cbrt-cube
11×distribute-lft-out
8×add-log-exp
7×cbrt-undiv div-exp
6×associate-/r/
5×associate-/r*
4×pow1 flip3-+ flip-+ div-inv
3×div-sub distribute-frac-neg associate-/l/
2×flip3-- frac-2neg sub0-neg prod-exp clear-num flip-- cbrt-unprod
1×+-commutative sub-neg diff-log sum-log
Counts
4 → 119
Calls
4 calls:
5.0ms
(+ b (sqrt (- (* b b) (* 4.0 (* a c)))))
3.0ms
(- (* b b) (* 4.0 (* a c)))
13.0ms
(/ (/ (- 0 (* 4.0 (* a c))) (+ b (sqrt (- (* b b) (* 4.0 (* a c)))))) (* a 2.0))
9.0ms
(/ (- 0 (* 4.0 (* a c))) (+ b (sqrt (- (* b b) (* 4.0 (* a c))))))

series124.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(+ b (sqrt (- (* b b) (* 4.0 (* a c)))))
8.0ms
(- (* b b) (* 4.0 (* a c)))
42.0ms
(/ (/ (- 0 (* 4.0 (* a c))) (+ b (sqrt (- (* b b) (* 4.0 (* a c)))))) (* a 2.0))
59.0ms
(/ (- 0 (* 4.0 (* a c))) (+ b (sqrt (- (* b b) (* 4.0 (* a c))))))

simplify43.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
051033100

prune285.0ms

Filtered
98 candidates to 131 candidates (-33.7%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New11912131
Fresh213
Picked101
Done000
Total12213135

Merged error: 0b

Counts
135 → 13

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log add-cbrt-cube
9×pow1 *-un-lft-identity
8×add-log-exp
7×add-sqr-sqrt add-cube-cbrt
6×prod-exp cbrt-unprod
4×associate-*r/ associate-*l/
3×cbrt-undiv flip3-+ times-frac div-exp associate-*l* pow-prod-down flip-+ associate-/l*
2×flip3-- associate-/r/ flip-- associate-/l/
1×+-commutative sub-neg frac-2neg sub0-neg diff-log div-sub distribute-frac-neg associate-*r* clear-num associate-/r* sum-log *-commutative div-inv distribute-lft-out
Counts
4 → 73
Calls
4 calls:
10.0ms
(* a (* (+ b (sqrt (- (* b b) (* 4.0 (* a c))))) 2.0))
5.0ms
(+ b (sqrt (- (* b b) (* 4.0 (* a c)))))
4.0ms
(- (* b b) (* 4.0 (* a c)))
12.0ms
(/ (- 0 (* 4.0 (* a c))) (* a (* (+ b (sqrt (- (* b b) (* 4.0 (* a c))))) 2.0)))

series95.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* a (* (+ b (sqrt (- (* b b) (* 4.0 (* a c))))) 2.0))
15.0ms
(+ b (sqrt (- (* b b) (* 4.0 (* a c)))))
9.0ms
(- (* b b) (* 4.0 (* a c)))
43.0ms
(/ (- 0 (* 4.0 (* a c))) (* a (* (+ b (sqrt (- (* b b) (* 4.0 (* a c))))) 2.0)))

simplify56.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049481460
149481460

prune161.0ms

Filtered
63 candidates to 85 candidates (-34.9%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New82385
Fresh6612
Picked011
Done000
Total881098

Merged error: 0b

Counts
98 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log
23×add-cbrt-cube
13×div-exp
10×*-un-lft-identity
9×prod-exp
8×cbrt-undiv add-sqr-sqrt add-cube-cbrt add-log-exp
6×times-frac
5×cbrt-unprod
4×pow1 associate-/r* associate-/l*
3×1-exp
2×frac-2neg flip3-+ associate-*l/ clear-num flip-+ div-inv associate-/l/
1×+-commutative sub-neg flip3-- diff-log associate-*r/ sum-log associate-/r/ flip-- distribute-lft-out
Counts
4 → 76
Calls
4 calls:
8.0ms
(/ (* (+ b (sqrt (- (* b b) (* 4.0 (* a c))))) 2.0) c)
5.0ms
(+ b (sqrt (- (* b b) (* 4.0 (* a c)))))
4.0ms
(- (* b b) (* 4.0 (* a c)))
11.0ms
(/ 4.0 (* 1 (/ (* (+ b (sqrt (- (* b b) (* 4.0 (* a c))))) 2.0) c)))

series76.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ (* (+ b (sqrt (- (* b b) (* 4.0 (* a c))))) 2.0) c)
15.0ms
(+ b (sqrt (- (* b b) (* 4.0 (* a c)))))
9.0ms
(- (* b b) (* 4.0 (* a c)))
35.0ms
(/ 4.0 (* 1 (/ (* (+ b (sqrt (- (* b b) (* 4.0 (* a c))))) 2.0) c)))

simplify28.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
050491428

prune119.0ms

Filtered
64 candidates to 88 candidates (-37.5%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New86288
Fresh268
Picked101
Done101
Total90898

Merged error: 0b

Counts
98 → 8

regimes217.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02819
12819

end0.0ms

sample2.1s

Algorithm
intervals
Results
459.0ms4835×body160valid
450.0ms16185×pre80true
384.0ms8185×body80nan
189.0ms1340×body320valid
91.0ms1825×body80valid

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