Details

Time bar (total: 21.7s)

sample91.0ms

Algorithm
intervals
Results
51.0ms272×body80valid
14.0ms77×body80nan

simplify275.0ms

Counts
1 → 1

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.3b

localize177.0ms

Local error

Found 4 expressions with local error:

21.6b
(sqrt (- (* b b) (* (* 4 a) c)))
21.6b
(sqrt (- (* b b) (* (* 4 a) c)))
1.7b
(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
1.4b
(- (* b b) (* (* 4 a) c))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
61×prod-diff
53×add-sqr-sqrt
51×*-un-lft-identity
47×add-cube-cbrt
37×sqrt-prod
22×distribute-rgt-neg-in
21×distribute-lft-neg-in
11×fma-neg
10×add-log-exp
7×neg-mul-1
6×pow1
4×expm1-log1p-u flip3-- add-cbrt-cube sqrt-div add-exp-log insert-posit16 log1p-expm1-u flip--
3×diff-log
2×rem-sqrt-square sub-neg sqrt-pow1 pow1/2 distribute-lft-out-- difference-of-squares
1×associate--l- neg-sub0 neg-log
Counts
4 → 144
Calls
4 calls:
Slowest
24.0ms
(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
22.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
17.0ms
(- (* b b) (* (* 4 a) c))
10.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

series401.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
122.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
113.0ms
(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
89.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
77.0ms
(- (* b b) (* (* 4 a) c))

simplify1.6s

Counts
156 → 156

prune3.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.8b

localize191.0ms

Local error

Found 4 expressions with local error:

22.4b
(cbrt (- (* b b) (* (* 4 a) c)))
22.4b
(cbrt (- (* b b) (* (* 4 a) c)))
22.4b
(cbrt (- (* b b) (* (* 4 a) c)))
21.6b
(sqrt (* (* (cbrt (- (* b b) (* (* 4 a) c))) (cbrt (- (* b b) (* (* 4 a) c)))) (cbrt (- (* b b) (* (* 4 a) c)))))

rewrite185.0ms

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×expm1-log1p-u add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
3×pow-sqr
2×pow2
1×pow1/2 pow3 sqrt-prod
Counts
4 → 101
Calls
4 calls:
Slowest
140.0ms
(sqrt (* (* (cbrt (- (* b b) (* (* 4 a) c))) (cbrt (- (* b b) (* (* 4 a) c)))) (cbrt (- (* b b) (* (* 4 a) c)))))
20.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
11.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
10.0ms
(cbrt (- (* b b) (* (* 4 a) c)))

series500.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
153.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
141.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
117.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
89.0ms
(sqrt (* (* (cbrt (- (* b b) (* (* 4 a) c))) (cbrt (- (* b b) (* (* 4 a) c)))) (cbrt (- (* b b) (* (* 4 a) c)))))

simplify977.0ms

Counts
113 → 113

prune2.5s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 7.8b

localize160.0ms

Local error

Found 4 expressions with local error:

22.4b
(cbrt (- (* b b) (* (* 4 a) c)))
22.4b
(cbrt (- (* b b) (* (* 4 a) c)))
21.6b
(sqrt (- (* b b) (* (* 4 a) c)))
21.6b
(sqrt (- (* b b) (* (* 4 a) c)))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×*-un-lft-identity add-cube-cbrt
6×cbrt-prod pow1 sqrt-prod
4×expm1-log1p-u cbrt-div flip3-- add-cbrt-cube sqrt-div add-exp-log insert-posit16 log1p-expm1-u flip-- add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 pow1/3
Counts
4 → 68
Calls
4 calls:
Slowest
28.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
20.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
11.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
10.0ms
(cbrt (- (* b b) (* (* 4 a) c)))

series507.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
167.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
140.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
104.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
96.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

simplify860.0ms

Counts
80 → 80

prune1.9s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 7.8b

localize180.0ms

Local error

Found 4 expressions with local error:

21.6b
(sqrt (- (* b b) (* (* 4 a) c)))
21.6b
(sqrt (- (* b b) (* (* 4 a) c)))
19.3b
(+ (- b) (exp (log (sqrt (- (* b b) (* (* 4 a) c))))))
5.5b
(exp (log (sqrt (- (* b b) (* (* 4 a) c)))))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
14×add-sqr-sqrt
12×add-cube-cbrt
10×fma-def
9×sqrt-prod
8×pow1 add-log-exp
6×log-prod exp-prod sqrt-div exp-sum
4×expm1-log1p-u distribute-rgt-neg-in add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u
3×distribute-lft-neg-in sqrt-pow1 flip3-- pow1/2 log-pow flip--
2×rem-sqrt-square log-div sum-log exp-diff distribute-lft-out
1×neg-sub0 +-commutative neg-mul-1 flip3-+ neg-log associate-+l- flip-+ rem-exp-log
Counts
4 → 89
Calls
4 calls:
Slowest
43.0ms
(+ (- b) (exp (log (sqrt (- (* b b) (* (* 4 a) c))))))
21.0ms
(exp (log (sqrt (- (* b b) (* (* 4 a) c)))))
19.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
19.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

series424.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
126.0ms
(exp (log (sqrt (- (* b b) (* (* 4 a) c)))))
102.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
98.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
98.0ms
(+ (- b) (exp (log (sqrt (- (* b b) (* (* 4 a) c))))))

simplify1.1s

Counts
101 → 101

prune2.0s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 5.6b

regimes664.0ms

Accuracy

94.1% (0.8b remaining)

Error of 6.5b against oracle of 5.7b and baseline of 19.1b

bsearch309.0ms

end0.0ms

sample3.2s

Algorithm
intervals
Results
2.2s8727×body80valid
588.0ms2891×body80nan