Details

Time bar (total: 52.1s)

sample162.0ms

Algorithm
intervals
Results
107.0ms232×body10240exit
13.0ms211×body80valid
4.0ms15×body640valid
4.0ms20×body320valid
2.0ms13×body160valid

simplify12.8s

Counts
1 → 1
Iterations
IterNodes
done5000
64330
5815
4205
3108
252
121
08

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.2b

localize82.0ms

Local error

Found 4 expressions with local error:

0.0b
(* wj (exp wj))
0.0b
(+ (exp wj) (* wj (exp wj)))
0.5b
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
4.2b
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

rewrite376.0ms

Algorithm
rewrite-expression-head
Rules
82×*-un-lft-identity
73×add-sqr-sqrt
66×add-cube-cbrt
63×prod-diff
61×times-frac
14×distribute-rgt-out distribute-rgt1-in
8×add-cbrt-cube associate-/r/ add-log-exp
7×add-exp-log
6×pow1
5×associate-/r* flip3-+ flip-+
4×expm1-log1p-u insert-posit16 log1p-expm1-u div-inv
3×fma-def fma-neg associate-*r* associate-*l* associate-/l*
2×flip3-- div-sub flip-- difference-of-squares associate-/l/
1×cbrt-undiv +-commutative clear-num sum-log sub-neg frac-2neg diff-log div-exp pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out-- associate--r- unswap-sqr
Counts
4 → 168
Calls
4 calls:
27.0ms
(* wj (exp wj))
24.0ms
(+ (exp wj) (* wj (exp wj)))
131.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
167.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

series367.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* wj (exp wj))
62.0ms
(+ (exp wj) (* wj (exp wj)))
139.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
117.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

simplify6.0s

Counts
180 → 180
Iterations
IterNodes
done5001
22602
1848
0321

prune2.2s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.5b

localize42.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma (* x wj) -2 (fma wj wj x))

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef insert-posit16 log1p-expm1-u add-log-exp
Counts
1 → 11
Calls
1 calls:
1.0ms
(fma (* x wj) -2 (fma wj wj x))

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(fma (* x wj) -2 (fma wj wj x))

simplify5.7s

Counts
14 → 14
Iterations
IterNodes
done5002
42578
3499
2113
146
024

prune244.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.5b

localize105.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (* x wj) -2 (fma wj wj x))) (cbrt (fma (* x wj) -2 (fma wj wj x))))
0.6b
(cbrt (fma (* x wj) -2 (fma wj wj x)))
0.6b
(cbrt (fma (* x wj) -2 (fma wj wj x)))
0.6b
(cbrt (fma (* x wj) -2 (fma wj wj x)))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 85
Calls
4 calls:
41.0ms
(* (cbrt (fma (* x wj) -2 (fma wj wj x))) (cbrt (fma (* x wj) -2 (fma wj wj x))))
3.0ms
(cbrt (fma (* x wj) -2 (fma wj wj x)))
3.0ms
(cbrt (fma (* x wj) -2 (fma wj wj x)))
3.0ms
(cbrt (fma (* x wj) -2 (fma wj wj x)))

series2.3s

Counts
4 → 12
Calls
4 calls:
632.0ms
(* (cbrt (fma (* x wj) -2 (fma wj wj x))) (cbrt (fma (* x wj) -2 (fma wj wj x))))
527.0ms
(cbrt (fma (* x wj) -2 (fma wj wj x)))
586.0ms
(cbrt (fma (* x wj) -2 (fma wj wj x)))
559.0ms
(cbrt (fma (* x wj) -2 (fma wj wj x)))

simplify4.5s

Counts
97 → 97
Iterations
IterNodes
done5004
31737
2618
1263
0117

prune1.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.5b

localize163.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (* x wj) -2 (fma wj wj x)))
0.6b
(cbrt (fma (* x wj) -2 (fma wj wj x)))
0.6b
(cbrt (fma (* x wj) -2 (fma wj wj x)))
4.7b
(exp (log (* (cbrt (fma (* x wj) -2 (fma wj wj x))) (cbrt (fma (* x wj) -2 (fma wj wj x))))))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
12×pow1 exp-prod
9×cbrt-prod pow1/3 log-pow
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 log-prod pow-plus exp-sum rem-exp-log
Counts
4 → 66
Calls
4 calls:
5.0ms
(cbrt (fma (* x wj) -2 (fma wj wj x)))
5.0ms
(cbrt (fma (* x wj) -2 (fma wj wj x)))
5.0ms
(cbrt (fma (* x wj) -2 (fma wj wj x)))
55.0ms
(exp (log (* (cbrt (fma (* x wj) -2 (fma wj wj x))) (cbrt (fma (* x wj) -2 (fma wj wj x))))))

series2.4s

Counts
4 → 12
Calls
4 calls:
631.0ms
(cbrt (fma (* x wj) -2 (fma wj wj x)))
585.0ms
(cbrt (fma (* x wj) -2 (fma wj wj x)))
533.0ms
(cbrt (fma (* x wj) -2 (fma wj wj x)))
682.0ms
(exp (log (* (cbrt (fma (* x wj) -2 (fma wj wj x))) (cbrt (fma (* x wj) -2 (fma wj wj x))))))

simplify3.7s

Counts
78 → 78
Iterations
IterNodes
done5001
31484
2552
1237
0115

prune1.0s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.5b

regimes498.0ms

Accuracy

0% (1.5b remaining)

Error of 2.0b against oracle of 0.5b and baseline of 2.0b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done7
17
06

end0.0ms

sample7.9s

Algorithm
intervals
Results
5.3s7611×body10240exit
714.0ms6355×body80valid
642.0ms446×body640valid
612.0ms743×body320valid
98.0ms544×body160valid