Details

Time bar (total: 17.0s)

sample107.0ms

Algorithm
intervals
Results
68.0ms277×body80valid
13.0ms80×body80nan

simplify301.0ms

Counts
1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.9b

localize184.0ms

Local error

Found 4 expressions with local error:

20.9b
(sqrt (- (* b b) (* (* 4 a) c)))
20.9b
(sqrt (- (* b b) (* (* 4 a) c)))
1.0b
(- (* b b) (* (* 4 a) c))
1.0b
(- (* b b) (* (* 4 a) c))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt add-log-exp
6×pow1 *-un-lft-identity add-cube-cbrt sqrt-prod
4×flip3-- add-cbrt-cube sqrt-div add-exp-log insert-posit16 flip--
2×rem-sqrt-square sub-neg sqrt-pow1 pow1/2 diff-log
Counts
4 → 58
Calls
4 calls:
Slowest
17.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
8.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
7.0ms
(- (* b b) (* (* 4 a) c))
7.0ms
(- (* b b) (* (* 4 a) c))

series287.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
90.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
87.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
60.0ms
(- (* b b) (* (* 4 a) c))
49.0ms
(- (* b b) (* (* 4 a) c))

simplify559.0ms

Counts
70 → 70

prune965.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 6.6b

localize151.0ms

Local error

Found 4 expressions with local error:

20.9b
(sqrt (- (* b b) (* (* 4 a) c)))
20.9b
(sqrt (- (* b b) (* (* 4 a) c)))
20.9b
(sqrt (- (* b b) (* (* 4 a) c)))
10.8b
(- (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))

rewrite57.0ms

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:
Slowest
19.0ms
(- (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))
13.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
12.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
12.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

series425.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
113.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
107.0ms
(- (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))
106.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
99.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

simplify887.0ms

Counts
76 → 76

prune1.4s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 6.1b

localize170.0ms

Local error

Found 4 expressions with local error:

21.6b
(cbrt (- (* b b) (* (* 4 a) c)))
21.6b
(cbrt (- (* b b) (* (* 4 a) c)))
21.6b
(cbrt (- (* b b) (* (* 4 a) c)))
20.9b
(sqrt (* (* (cbrt (- (* b b) (* (* 4 a) c))) (cbrt (- (* b b) (* (* 4 a) c)))) (cbrt (- (* b b) (* (* 4 a) c)))))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
30×flip3-- flip--
28×frac-times
26×sqrt-div
24×pow1
15×sqrt-pow1
14×associate-*l/
12×pow1/3
9×cbrt-prod pow-prod-up
8×associate-*r/
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×pow-plus
5×pow-prod-down
4×add-cbrt-cube add-exp-log insert-posit16 add-log-exp
3×pow-sqr
2×pow2
1×pow1/2 pow3 sqrt-prod
Counts
4 → 93
Calls
4 calls:
Slowest
83.0ms
(sqrt (* (* (cbrt (- (* b b) (* (* 4 a) c))) (cbrt (- (* b b) (* (* 4 a) c)))) (cbrt (- (* b b) (* (* 4 a) c)))))
5.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
5.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
5.0ms
(cbrt (- (* b b) (* (* 4 a) c)))

series486.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
132.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
127.0ms
(sqrt (* (* (cbrt (- (* b b) (* (* 4 a) c))) (cbrt (- (* b b) (* (* 4 a) c)))) (cbrt (- (* b b) (* (* 4 a) c)))))
115.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
112.0ms
(cbrt (- (* b b) (* (* 4 a) c)))

simplify982.0ms

Counts
105 → 105

prune2.0s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 6.1b

localize161.0ms

Local error

Found 4 expressions with local error:

21.6b
(cbrt (- (* b b) (* (* 4 a) c)))
21.6b
(cbrt (- (* b b) (* (* 4 a) c)))
21.6b
(cbrt (- (* b b) (* (* 4 a) c)))
20.9b
(sqrt (* (* (cbrt (- (* b b) (* (* 4 a) c))) (cbrt (- (* b b) (* (* 4 a) c)))) (cbrt (- (* b b) (* (* 4 a) c)))))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
30×flip3-- flip--
28×frac-times
26×sqrt-div
24×pow1
15×sqrt-pow1
14×associate-*l/
12×pow1/3
9×cbrt-prod pow-prod-up
8×associate-*r/
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×pow-plus
5×pow-prod-down
4×add-cbrt-cube add-exp-log insert-posit16 add-log-exp
3×pow-sqr
2×pow2
1×pow1/2 pow3 sqrt-prod
Counts
4 → 93
Calls
4 calls:
Slowest
99.0ms
(sqrt (* (* (cbrt (- (* b b) (* (* 4 a) c))) (cbrt (- (* b b) (* (* 4 a) c)))) (cbrt (- (* b b) (* (* 4 a) c)))))
13.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
12.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
5.0ms
(cbrt (- (* b b) (* (* 4 a) c)))

series471.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
132.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
130.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
117.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
93.0ms
(sqrt (* (* (cbrt (- (* b b) (* (* 4 a) c))) (cbrt (- (* b b) (* (* 4 a) c)))) (cbrt (- (* b b) (* (* 4 a) c)))))

simplify1.5s

Counts
105 → 105

prune2.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 6.1b

regimes366.0ms

Accuracy

93.1% (0.9b remaining)

Error of 7.2b against oracle of 6.3b and baseline of 19.1b

bsearch428.0ms

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.7s8696×body80valid
555.0ms2806×body80nan