Details

Time bar (total: 16.3s)

sample43.0ms

Algorithm
intervals
Results
27.0ms324×body80valid

simplify3.8s

Counts
1 → 1
Iterations
IterNodes
done5001
133507
122216
111438
10920
9609
8462
7317
6187
5122
479
349
226
114
08

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y x) t)
6.1b
(fma (/ (- y x) t) z x)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/l*
4×add-cbrt-cube add-exp-log distribute-lft-out-- difference-of-squares
3×associate-/r*
2×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp associate-/l/
1×cbrt-undiv clear-num frac-2neg flip3-- div-sub div-exp fma-udef div-inv flip--
Counts
2 → 52
Calls
2 calls:
20.0ms
(/ (- y x) t)
0.0ms
(fma (/ (- y x) t) z x)

series90.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ (- y x) t)
52.0ms
(fma (/ (- y x) t) z x)

simplify1.4s

Counts
58 → 58
Iterations
IterNodes
done5000
31327
2446
1201
095

prune252.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* (/ x t) z))
2.1b
(fma (/ z t) y (- x (* (/ x t) z)))
6.3b
(* (/ x t) z)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×*-un-lft-identity associate-*l* add-cube-cbrt
10×times-frac
8×add-cbrt-cube add-exp-log
5×pow1 add-log-exp
3×expm1-log1p-u fma-neg associate-*r* prod-diff insert-posit16 log1p-expm1-u
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv sub-neg flip3-- diff-log div-exp pow-prod-down associate-*l/ *-commutative fma-udef div-inv flip--
Counts
3 → 67
Calls
3 calls:
7.0ms
(- x (* (/ x t) z))
0.0ms
(fma (/ z t) y (- x (* (/ x t) z)))
15.0ms
(* (/ x t) z)

series126.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(- x (* (/ x t) z))
51.0ms
(fma (/ z t) y (- x (* (/ x t) z)))
31.0ms
(* (/ x t) z)

simplify2.2s

Counts
76 → 76
Iterations
IterNodes
done5000
34236
2941
1266
0120

prune330.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* x (/ z t)))
2.1b
(fma (/ z t) y (- x (* x (/ z t))))
4.2b
(* x (/ z t))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×*-un-lft-identity associate-*r* add-cube-cbrt
10×times-frac
8×add-cbrt-cube add-exp-log
5×pow1 add-log-exp
3×expm1-log1p-u fma-neg associate-*l* prod-diff insert-posit16 log1p-expm1-u
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv sub-neg flip3-- diff-log div-exp pow-prod-down associate-*r/ *-commutative fma-udef div-inv flip--
Counts
3 → 67
Calls
3 calls:
6.0ms
(- x (* x (/ z t)))
0.0ms
(fma (/ z t) y (- x (* x (/ z t))))
10.0ms
(* x (/ z t))

series103.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(- x (* x (/ z t)))
41.0ms
(fma (/ z t) y (- x (* x (/ z t))))
21.0ms
(* x (/ z t))

simplify2.0s

Counts
76 → 76
Iterations
IterNodes
done5000
34359
2885
1283
0121

prune355.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
1.7b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ z t)))
2.1b
(fma (/ z t) y (- x (* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ z t)))))
2.7b
(* (cbrt x) (/ z t))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log
24×add-sqr-sqrt
18×pow1 add-cbrt-cube
15×prod-exp cbrt-unprod
14×*-un-lft-identity associate-*r* add-cube-cbrt
11×times-frac
9×pow-prod-down
8×cbrt-prod
7×associate-*l*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
3×cbrt-undiv div-exp associate-*r/
2×*-commutative
1×pow1/3 fma-udef div-inv
Counts
4 → 95
Calls
4 calls:
1.0ms
(cbrt x)
44.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ z t)))
0.0ms
(fma (/ z t) y (- x (* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ z t)))))
20.0ms
(* (cbrt x) (/ z t))

series514.0ms

Counts
4 → 12
Calls
4 calls:
242.0ms
(cbrt x)
55.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ z t)))
87.0ms
(fma (/ z t) y (- x (* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ z t)))))
129.0ms
(* (cbrt x) (/ z t))

simplify2.5s

Counts
107 → 107
Iterations
IterNodes
done5001
34540
21204
1371
0148

prune425.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes629.0ms

Accuracy

-17.2% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 1.8b

bsearch95.0ms

Steps
ItersRangePoint
9
-1.2057823940804213e-259
-1.2207605985208529e-266
-1.8127477951727028e-264
8
-1.1791969266293276e-97
-6.356871322251578e-102
-7.797770989917811e-101

simplify3.0ms

Iterations
IterNodes
done24
124
018

end0.0ms

sample1.2s

Algorithm
intervals
Results
821.0ms10637×body80valid