Details

Time bar (total: 3.9s)

sample83.0ms

Algorithm
intervals
Results
16.0ms116×body320valid
15.0ms526×pre80true
13.0ms101×body160valid
12.0ms270×body80nan
3.0ms15×body640valid
1.0ms24×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: 53.4b

Counts
2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* 4.0 (* a c))))
0.1b
(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
0.1b
(- (* b b) (* 4.0 (* a c)))
27.2b
(- (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))))
11.0ms
(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
4.0ms
(- (* b b) (* 4.0 (* a c)))
7.0ms
(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)

series66.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))
25.0ms
(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
9.0ms
(- (* b b) (* 4.0 (* a c)))
15.0ms
(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)

simplify48.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
049591319
149591319

prune118.0ms

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

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New81384
Fresh000
Picked101
Done000
Total82385

Merged error: 0.1b

Counts
85 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

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)))))
4.0ms
(- (* b b) (* 4.0 (* a c)))
9.0ms
(/ (- 0 (* 4.0 (* a c))) (+ b (sqrt (- (* b b) (* 4.0 (* a c))))))
13.0ms
(/ (/ (- 0 (* 4.0 (* a c))) (+ b (sqrt (- (* b b) (* 4.0 (* a c)))))) (* a 2.0))

series125.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(+ b (sqrt (- (* b b) (* 4.0 (* a c)))))
9.0ms
(- (* b b) (* 4.0 (* a c)))
58.0ms
(/ (- 0 (* 4.0 (* a c))) (+ b (sqrt (- (* b b) (* 4.0 (* a c))))))
43.0ms
(/ (/ (- 0 (* 4.0 (* a c))) (+ b (sqrt (- (* b b) (* 4.0 (* a c)))))) (* a 2.0))

simplify40.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
051033100

prune235.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1256131
Fresh112
Picked011
Done000
Total1268134

Merged error: 0b

Counts
134 → 8

localize12.0ms

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

rewrite32.0ms

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:
9.0ms
(* 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:
27.0ms
(* a (* (+ b (sqrt (- (* b b) (* 4.0 (* a c))))) 2.0))
15.0ms
(+ b (sqrt (- (* b b) (* 4.0 (* a c)))))
8.0ms
(- (* b b) (* 4.0 (* a c)))
45.0ms
(/ (- 0 (* 4.0 (* a c))) (* a (* (+ b (sqrt (- (* b b) (* 4.0 (* a c))))) 2.0)))

simplify58.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049481460
149481460

prune133.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New82385
Fresh336
Picked101
Done011
Total86793

Merged error: 0b

Counts
93 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

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:
5.0ms
(+ b (sqrt (- (* b b) (* 4.0 (* a c)))))
10.0ms
(/ (* (+ b (sqrt (- (* b b) (* 4.0 (* a c))))) 2.0) 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)))

series77.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(+ b (sqrt (- (* b b) (* 4.0 (* a c)))))
19.0ms
(/ (* (+ b (sqrt (- (* b b) (* 4.0 (* a c))))) 2.0) c)
9.0ms
(- (* b b) (* 4.0 (* a c)))
32.0ms
(/ 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

prune113.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New86288
Fresh235
Picked101
Done011
Total89695

Merged error: 0b

Counts
95 → 6

regimes166.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02819
12819

end0.0ms

sample2.3s

Algorithm
intervals
Results
507.0ms3693×body320valid
444.0ms16163×pre80true
381.0ms8163×body80nan
266.0ms2885×body160valid
91.0ms502×body640valid
46.0ms920×body80valid

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