Details

Time bar (total: 37.3s)

sample92.0ms

Algorithm
intervals
Results
39.0ms273×body80valid
7.0ms82×body80nan

simplify599.0ms

Counts
1 → 1
Iterations
IterNodes
done151
7151
6150
5143
4131
3103
261
135
020

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.1b

localize295.0ms

Local error

Found 4 expressions with local error:

0.9b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
1.0b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
22.2b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.2b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite209.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
12×add-sqr-sqrt add-log-exp
7×sqrt-prod
6×pow1 add-cube-cbrt
4×add-cbrt-cube sqrt-div add-exp-log insert-posit16
3×flip3-- flip--
2×neg-sub0 rem-sqrt-square sum-log distribute-rgt-neg-in sqrt-pow1 pow1/2 diff-log neg-log distribute-lft-out distribute-lft-out-- difference-of-squares
1×associate--l- +-commutative sub-neg flip3-+ associate-+l- flip-+
Counts
4 → 67
Calls
4 calls:
61.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
60.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
40.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
41.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series601.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
144.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
152.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
147.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify6.1s

Counts
79 → 79
Iterations
IterNodes
done5001
33020
2771
1249
0103

prune1.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 7.6b

localize368.0ms

Local error

Found 4 expressions with local error:

10.0b
(- (- b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
22.2b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.2b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.2b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×sqrt-prod
8×add-log-exp
7×pow1 *-un-lft-identity add-cube-cbrt
6×sqrt-div
4×flip3-- add-cbrt-cube add-exp-log insert-posit16 flip--
3×rem-sqrt-square sqrt-pow1 pow1/2
2×diff-log
1×associate--l- neg-sub0 sub-neg neg-log difference-of-squares
Counts
4 → 64
Calls
4 calls:
36.0ms
(- (- b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
31.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
19.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
45.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series553.0ms

Counts
4 → 12
Calls
4 calls:
117.0ms
(- (- b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
135.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
150.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
150.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify5.6s

Counts
76 → 76
Iterations
IterNodes
done5000
32587
2672
1225
092

prune1.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 7.6b

localize441.0ms

Local error

Found 4 expressions with local error:

12.2b
(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
22.2b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.2b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.2b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×sqrt-prod
8×add-log-exp
7×pow1 *-un-lft-identity add-cube-cbrt
6×sqrt-div
4×add-cbrt-cube add-exp-log insert-posit16
3×rem-sqrt-square sqrt-pow1 flip3-- pow1/2 flip--
2×sum-log
1×neg-sub0 +-commutative flip3-+ neg-log associate-+l- flip-+
Counts
4 → 62
Calls
4 calls:
24.0ms
(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
34.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
19.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
33.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series600.0ms

Counts
4 → 12
Calls
4 calls:
158.0ms
(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
150.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
150.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
142.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify6.0s

Counts
74 → 74
Iterations
IterNodes
done5010
32847
2727
1231
088

prune1.4s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 7.6b

localize483.0ms

Local error

Found 4 expressions with local error:

22.2b
(sqrt (- (* b b) (* (* 4.0 a) c)))
23.1b
(cbrt (- (* b b) (* (* 4.0 a) c)))
23.1b
(cbrt (- (* b b) (* (* 4.0 a) c)))
23.1b
(cbrt (- (* b b) (* (* 4.0 a) c)))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt
8×*-un-lft-identity add-cube-cbrt
6×cbrt-div
5×pow1
4×flip3-- add-cbrt-cube add-exp-log insert-posit16 flip-- add-log-exp
3×pow1/3 sqrt-prod
2×sqrt-div
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 58
Calls
4 calls:
36.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
26.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
13.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
14.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

series858.0ms

Counts
4 → 12
Calls
4 calls:
156.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
234.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
233.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
234.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

simplify4.5s

Counts
70 → 70
Iterations
IterNodes
done5003
31993
2580
1205
092

prune1.7s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 7.6b

regimes902.0ms

Accuracy

93% (0.8b remaining)

Error of 8.5b against oracle of 7.7b and baseline of 19.8b

bsearch421.0ms

Steps
ItersRangePoint
10
1.0955696400612189e+91
1.0202913897586463e+104
5.714064955010435e+100
9
-2.409563002992963e+162
-2.0274263258127503e+155
-2.0519886074223697e+155

simplify36.0ms

Iterations
IterNodes
done49
149
041

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.5s8746×body80valid
426.0ms2913×body80nan