Details

Time bar (total: 14.2s)

sample53.0ms

Algorithm
intervals
Results
20.0ms248×body80valid
7.0ms18×body640valid
4.0ms15×body320valid
3.0ms8×body1280valid
2.0ms12×body160valid
1.0ms2×body2560valid

simplify1.3s

Counts
1 → 1
Iterations
IterNodes
done2000
61910
5805
4299
3108
243
120
011

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.6b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t x) (- a z))
17.2b
(fma (/ (- t x) (- a z)) (- y z) x)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
25×times-frac
14×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
4×add-cbrt-cube add-exp-log
2×expm1-log1p-u pow1 flip3-- associate-/r/ insert-posit16 log1p-expm1-u flip-- add-log-exp associate-/l/
1×cbrt-undiv clear-num frac-2neg div-sub div-exp fma-udef div-inv
Counts
2 → 66
Calls
2 calls:
32.0ms
(/ (- t x) (- a z))
0.0ms
(fma (/ (- t x) (- a z)) (- y z) x)

series272.0ms

Counts
2 → 6
Calls
2 calls:
80.0ms
(/ (- t x) (- a z))
193.0ms
(fma (/ (- t x) (- a z)) (- y z) x)

simplify579.0ms

Counts
72 → 72
Iterations
IterNodes
done2000
2671
1276
0120

prune412.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 7.2b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a z))
0.2b
(* (- t x) (/ 1 (- a z)))
17.2b
(fma (* (- t x) (/ 1 (- a z))) (- y z) x)

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
40×*-un-lft-identity
32×times-frac
23×add-cube-cbrt
21×associate-*r*
16×add-exp-log
10×add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
6×pow1
5×associate-/r* associate-*l*
4×flip3-- div-exp prod-exp associate-/r/ flip--
3×expm1-log1p-u insert-posit16 log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×frac-times cbrt-undiv rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
1×clear-num frac-2neg pow-prod-down associate-*r/ un-div-inv *-commutative fma-udef pow-flip inv-pow
Counts
3 → 108
Calls
3 calls:
17.0ms
(/ 1 (- a z))
34.0ms
(* (- t x) (/ 1 (- a z)))
0.0ms
(fma (* (- t x) (/ 1 (- a z))) (- y z) x)

series288.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(/ 1 (- a z))
79.0ms
(* (- t x) (/ 1 (- a z)))
158.0ms
(fma (* (- t x) (/ 1 (- a z))) (- y z) x)

simplify679.0ms

Counts
117 → 117
Iterations
IterNodes
done2001
21322
1373
0158

prune581.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 7.2b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t x) (- a z))
5.2b
(+ (* (/ (- t x) (- a z)) (- y z)) x)
6.4b
(* (/ (- t x) (- a z)) (- y z))

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
102×add-sqr-sqrt
97×*-un-lft-identity
51×times-frac add-cube-cbrt
36×prod-diff
31×associate-*l*
23×distribute-lft-out-- difference-of-squares
22×distribute-rgt-in associate-+l+ distribute-lft-in
10×add-cbrt-cube add-exp-log
5×pow1 associate-/r* flip3-- associate-*r* flip-- associate-/l* add-log-exp
4×sub-neg associate-/r/
3×expm1-log1p-u insert-posit16 log1p-expm1-u
2×frac-times cbrt-undiv div-exp prod-exp associate-*r/ cbrt-unprod div-inv unswap-sqr associate-/l/
1×+-commutative clear-num sum-log fma-def frac-2neg flip3-+ div-sub pow-prod-down associate-*l/ *-commutative flip-+
Counts
3 → 173
Calls
3 calls:
18.0ms
(/ (- t x) (- a z))
34.0ms
(+ (* (/ (- t x) (- a z)) (- y z)) x)
80.0ms
(* (/ (- t x) (- a z)) (- y z))

series672.0ms

Counts
3 → 9
Calls
3 calls:
78.0ms
(/ (- t x) (- a z))
238.0ms
(+ (* (/ (- t x) (- a z)) (- y z)) x)
356.0ms
(* (/ (- t x) (- a z)) (- y z))

simplify1.1s

Counts
182 → 182
Iterations
IterNodes
done2000
21976
1715
0259

prune858.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 7.2b

localize41.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
1.0b
(* (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z)))) (* (/ (cbrt (- t x)) (cbrt (- a z))) (- y z)))
9.4b
(+ (* (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z)))) (* (/ (cbrt (- t x)) (cbrt (- a z))) (- y z))) x)

rewrite290.0ms

Algorithm
rewrite-expression-head
Rules
88×distribute-rgt-in distribute-lft-in
73×add-exp-log
72×prod-diff
59×add-sqr-sqrt *-un-lft-identity
55×add-cube-cbrt
44×associate-+l+
39×add-cbrt-cube
37×prod-exp cbrt-unprod
17×cbrt-undiv div-exp
16×cbrt-div
13×frac-times associate-*l*
12×flip3-- flip--
11×associate-*r/
10×cbrt-prod
9×pow1
8×sub-neg associate-/r/
6×add-log-exp
5×associate-*l/
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×pow-prod-down
2×pow1/3 distribute-lft-out-- difference-of-squares
1×+-commutative sum-log fma-def flip3-+ times-frac associate-*r* *-commutative flip-+ div-inv
Counts
4 → 207
Calls
4 calls:
3.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
139.0ms
(* (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z)))) (* (/ (cbrt (- t x)) (cbrt (- a z))) (- y z)))
140.0ms
(+ (* (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z)))) (* (/ (cbrt (- t x)) (cbrt (- a z))) (- y z))) x)

series990.0ms

Counts
4 → 12
Calls
4 calls:
206.0ms
(cbrt (- a z))
233.0ms
(cbrt (- a z))
349.0ms
(* (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z)))) (* (/ (cbrt (- t x)) (cbrt (- a z))) (- y z)))
201.0ms
(+ (* (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z)))) (* (/ (cbrt (- t x)) (cbrt (- a z))) (- y z))) x)

simplify981.0ms

Counts
219 → 219
Iterations
IterNodes
done2001
11115
0364

prune1.5s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 6.7b

regimes988.0ms

Accuracy

-7.4% (6.4b remaining)

Error of 12.5b against oracle of 6.1b and baseline of 12.1b

bsearch150.0ms

Steps
ItersRangePoint
6
1.4284162999485445e-263
1.2409405613415293e-262
1.4479831597119774e-263
8
-1.1927247487900025e-276
-2.5280800675812244e-281
-2.5697361957571348e-281

simplify16.0ms

Iterations
IterNodes
done55
555
453
351
245
137
026

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.3s7748×body80valid
269.0ms475×body640valid
148.0ms274×body1280valid
111.0ms439×body320valid
48.0ms270×body160valid
11.0ms19×body2560valid