Details

Time bar (total: 12.5s)

sample42.0ms

Algorithm
intervals
Results
19.0ms412×body80valid

simplify3.0s

Counts
1 → 1
Iterations

Useful iterations: 6 (729.0ms)

IterNodesCost
01819
13819
210019
330818
485918
5186018
6476016
done500016

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.7b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (* x 9.0) y b)
0.5b
(- (/ (fma (* x 9.0) y b) z) (* 4.0 (* t a)))
1.8b
(/ (fma (* x 9.0) y b) z)
11.3b
(/ (- (/ (fma (* x 9.0) y b) z) (* 4.0 (* t a))) c)

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
34×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×fma-neg prod-diff
8×add-exp-log add-cbrt-cube
6×associate-/r* associate-/l* add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u div-inv
2×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- associate-/l/
1×sub-neg diff-log div-sub fma-udef
Counts
4 → 111
Calls
4 calls:
0.0ms
(fma (* x 9.0) y b)
16.0ms
(- (/ (fma (* x 9.0) y b) z) (* 4.0 (* t a)))
2.0ms
(/ (fma (* x 9.0) y b) z)
27.0ms
(/ (- (/ (fma (* x 9.0) y b) z) (* 4.0 (* t a))) c)

series430.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(fma (* x 9.0) y b)
170.0ms
(- (/ (fma (* x 9.0) y b) z) (* 4.0 (* t a)))
67.0ms
(/ (fma (* x 9.0) y b) z)
158.0ms
(/ (- (/ (fma (* x 9.0) y b) z) (* 4.0 (* t a))) c)

simplify527.0ms

Counts
123 → 123
Iterations

Useful iterations: done (523.0ms)

IterNodesCost
01702305
13912243
213692061
done50002053

prune507.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 8.3b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 4.0 (* t a))
0.1b
(fma (* x 9.0) y b)
2.3b
(fma (fma (* x 9.0) y b) (/ 1 z) (- (* 4.0 (* t a))))
11.3b
(/ (fma (fma (* x 9.0) y b) (/ 1 z) (- (* 4.0 (* t a)))) c)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
9×pow1 times-frac
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*l* pow-prod-down prod-exp associate-/r* cbrt-unprod associate-/l*
2×fma-udef
1×cbrt-undiv frac-2neg div-exp associate-*r* clear-num *-commutative div-inv
Counts
4 → 69
Calls
4 calls:
6.0ms
(* 4.0 (* t a))
0.0ms
(fma (* x 9.0) y b)
0.0ms
(fma (fma (* x 9.0) y b) (/ 1 z) (- (* 4.0 (* t a))))
2.0ms
(/ (fma (fma (* x 9.0) y b) (/ 1 z) (- (* 4.0 (* t a)))) c)

series412.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* 4.0 (* t a))
35.0ms
(fma (* x 9.0) y b)
180.0ms
(fma (fma (* x 9.0) y b) (/ 1 z) (- (* 4.0 (* t a))))
175.0ms
(/ (fma (fma (* x 9.0) y b) (/ 1 z) (- (* 4.0 (* t a)))) c)

simplify1.1s

Counts
81 → 81
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01301377
12671361
28331116
329441116
done50011113

prune312.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 6.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (* x 9.0) y b)
0.5b
(- (/ (fma (* x 9.0) y b) z) (* 4.0 (* t a)))
1.8b
(/ (fma (* x 9.0) y b) z)
11.4b
(* (- (/ (fma (* x 9.0) y b) z) (* 4.0 (* t a))) (/ 1 c))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
38×times-frac
35×*-un-lft-identity
34×add-cube-cbrt
15×add-exp-log
13×fma-neg associate-*r* prod-diff
11×add-cbrt-cube
6×pow1 add-log-exp
4×expm1-log1p-u prod-exp log1p-expm1-u div-inv
3×flip3-- div-exp associate-*l* associate-/r* flip-- associate-/l* unswap-sqr
2×cbrt-undiv frac-times associate-*l/ cbrt-unprod
1×sub-neg rec-exp frac-2neg diff-log 1-exp associate-*r/ pow-prod-down clear-num un-div-inv *-commutative fma-udef
Counts
4 → 121
Calls
4 calls:
0.0ms
(fma (* x 9.0) y b)
14.0ms
(- (/ (fma (* x 9.0) y b) z) (* 4.0 (* t a)))
2.0ms
(/ (fma (* x 9.0) y b) z)
39.0ms
(* (- (/ (fma (* x 9.0) y b) z) (* 4.0 (* t a))) (/ 1 c))

series433.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(fma (* x 9.0) y b)
166.0ms
(- (/ (fma (* x 9.0) y b) z) (* 4.0 (* t a)))
68.0ms
(/ (fma (* x 9.0) y b) z)
158.0ms
(* (- (/ (fma (* x 9.0) y b) z) (* 4.0 (* t a))) (/ 1 c))

simplify1.1s

Counts
133 → 133
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01952552
14612418
217352164
done50002160

prune511.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 6.7b

localize19.0ms

Local error

Found 4 expressions with local error:

5.1b
(cbrt (fma (* x 9.0) y b))
5.1b
(cbrt (fma (* x 9.0) y b))
5.1b
(cbrt (fma (* x 9.0) y b))
11.3b
(/ (fma (* (* (cbrt (fma (* x 9.0) y b)) (cbrt (fma (* x 9.0) y b))) (cbrt (fma (* x 9.0) y b))) (/ 1 z) (- (* 4.0 (* t a)))) c)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod times-frac
6×add-exp-log add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-/r* associate-/l*
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 68
Calls
4 calls:
0.0ms
(cbrt (fma (* x 9.0) y b))
0.0ms
(cbrt (fma (* x 9.0) y b))
0.0ms
(cbrt (fma (* x 9.0) y b))
2.0ms
(/ (fma (* (* (cbrt (fma (* x 9.0) y b)) (cbrt (fma (* x 9.0) y b))) (cbrt (fma (* x 9.0) y b))) (/ 1 z) (- (* 4.0 (* t a)))) c)

series666.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(cbrt (fma (* x 9.0) y b))
163.0ms
(cbrt (fma (* x 9.0) y b))
165.0ms
(cbrt (fma (* x 9.0) y b))
169.0ms
(/ (fma (* (* (cbrt (fma (* x 9.0) y b)) (cbrt (fma (* x 9.0) y b))) (cbrt (fma (* x 9.0) y b))) (/ 1 z) (- (* 4.0 (* t a)))) c)

simplify1.0s

Counts
80 → 80
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01182140
12332116
26771395
327701187
done50011186

prune356.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 6.7b

regimes758.0ms

Accuracy

77.2% (2.1b remaining)

Error of 6.4b against oracle of 4.3b and baseline of 13.5b

bsearch3.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
047177
167177
271177
done71177

end0.0ms

sample1.1s

Algorithm
intervals
Results
604.0ms12888×body80valid