Details

Time bar (total: 24.1s)

sample49.0ms

Algorithm
intervals
Results
23.0ms319×body80valid

simplify159.0ms

Counts
1 → 1
Iterations
IterNodes
done114
9114
8111
7105
691
579
462
341
225
115
010

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
3.8b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite425.0ms

Algorithm
rewrite-expression-head
Rules
1192×times-frac
1082×add-sqr-sqrt
1078×*-un-lft-identity
819×prod-diff
814×add-cube-cbrt
275×distribute-rgt-in distribute-lft-in
129×distribute-lft-out-- difference-of-squares
104×div-inv
80×associate-/r/
42×flip3-- flip--
13×fma-neg
10×associate-*r*
7×add-cbrt-cube add-exp-log
5×pow1 associate-/r* add-log-exp
3×expm1-log1p-u sub-neg associate-*l* associate-*r/ log1p-expm1-u associate-/l*
2×frac-sub
1×cbrt-undiv clear-num frac-2neg diff-log div-exp pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 927
Calls
3 calls:
17.0ms
(/ t (- 1.0 z))
63.0ms
(- (/ y z) (/ t (- 1.0 z)))
227.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series189.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(/ t (- 1.0 z))
64.0ms
(- (/ y z) (/ t (- 1.0 z)))
74.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify4.5s

Counts
936 → 936
Iterations
IterNodes
done5000
24565
11778
01009

prune5.0s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.3b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (/ y z) x) (* (- (/ t (- 1.0 z))) x))
0.0b
(/ t (- 1.0 z))
3.2b
(* (- (/ t (- 1.0 z))) x)
6.6b
(* (/ y z) x)

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
69×add-sqr-sqrt
62×*-un-lft-identity
59×associate-*l*
55×times-frac
42×add-cube-cbrt
21×distribute-lft-neg-in distribute-rgt-neg-in
13×add-cbrt-cube add-exp-log
10×distribute-lft-out-- difference-of-squares
8×pow1
6×associate-*r* associate-/r/ add-log-exp
5×associate-/r*
4×expm1-log1p-u associate-*l/ log1p-expm1-u div-inv
3×distribute-lft-neg-out flip3-- prod-exp cbrt-unprod flip-- associate-/l* unswap-sqr
2×cbrt-undiv div-exp pow-prod-down *-commutative distribute-neg-frac
1×+-commutative clear-num neg-mul-1 sum-log fma-def frac-2neg flip3-+ distribute-rgt-out unsub-neg frac-add flip-+
Counts
4 → 156
Calls
4 calls:
9.0ms
(+ (* (/ y z) x) (* (- (/ t (- 1.0 z))) x))
11.0ms
(/ t (- 1.0 z))
66.0ms
(* (- (/ t (- 1.0 z))) x)
12.0ms
(* (/ y z) x)

series221.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(+ (* (/ y z) x) (* (- (/ t (- 1.0 z))) x))
50.0ms
(/ t (- 1.0 z))
65.0ms
(* (- (/ t (- 1.0 z))) x)
26.0ms
(* (/ y z) x)

simplify2.9s

Counts
168 → 168
Iterations
IterNodes
done5000
22777
1730
0278

prune1.1s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 1 (- 1.0 z)) t)
0.2b
(fma y (/ 1 z) (- (* (/ 1 (- 1.0 z)) t)))
3.8b
(* (fma y (/ 1 z) (- (* (/ 1 (- 1.0 z)) t))) x)
29.2b
(fma (- (/ 1 (- 1.0 z))) t (* (/ 1 (- 1.0 z)) t))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
24×associate-*l*
23×*-un-lft-identity
17×times-frac
16×add-cube-cbrt
15×add-exp-log
11×add-cbrt-cube
8×pow1
6×associate-*r*
5×prod-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×cbrt-unprod distribute-lft-out-- difference-of-squares
2×div-exp pow-prod-down associate-/r/ *-commutative fma-udef
1×cbrt-undiv rec-exp flip3-- 1-exp associate-*l/ div-inv flip--
Counts
4 → 85
Calls
4 calls:
42.0ms
(* (/ 1 (- 1.0 z)) t)
0.0ms
(fma y (/ 1 z) (- (* (/ 1 (- 1.0 z)) t)))
6.0ms
(* (fma y (/ 1 z) (- (* (/ 1 (- 1.0 z)) t))) x)
0.0ms
(fma (- (/ 1 (- 1.0 z))) t (* (/ 1 (- 1.0 z)) t))

series303.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (/ 1 (- 1.0 z)) t)
82.0ms
(fma y (/ 1 z) (- (* (/ 1 (- 1.0 z)) t)))
68.0ms
(* (fma y (/ 1 z) (- (* (/ 1 (- 1.0 z)) t))) x)
123.0ms
(fma (- (/ 1 (- 1.0 z))) t (* (/ 1 (- 1.0 z)) t))

simplify2.4s

Counts
97 → 97
Iterations
IterNodes
done5009
33543
21131
1397
0172

prune836.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

6.6b
(* (/ y z) x)
14.5b
(cbrt (* (/ y z) x))
14.5b
(cbrt (* (/ y z) x))
14.5b
(cbrt (* (/ y z) x))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity add-cube-cbrt
10×times-frac
9×add-cbrt-cube add-exp-log
6×pow1
4×expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
3×cbrt-prod cbrt-div pow1/3 associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down *-commutative div-inv
Counts
4 → 70
Calls
4 calls:
11.0ms
(* (/ y z) x)
5.0ms
(cbrt (* (/ y z) x))
5.0ms
(cbrt (* (/ y z) x))
6.0ms
(cbrt (* (/ y z) x))

series433.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (/ y z) x)
134.0ms
(cbrt (* (/ y z) x))
131.0ms
(cbrt (* (/ y z) x))
130.0ms
(cbrt (* (/ y z) x))

simplify2.5s

Counts
82 → 82
Iterations
IterNodes
done5000
32535
2692
1228
0106

prune660.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes701.0ms

Accuracy

10.7% (4.2b remaining)

Error of 4.2b against oracle of 0.1b and baseline of 4.7b

bsearch223.0ms

Steps
ItersRangePoint
6
1.2952494237087118e-259
7.21755896345725e-259
3.337564406318944e-259
9
-3.670720216393439e-253
-9.160797731044789e-259
-5.644334214871667e-258
7
-4.165373633426128e-60
-2.334250012270137e-61
-4.043646312429585e-60

simplify22.0ms

Iterations
IterNodes
done77
477
376
270
154
036

end0.0ms

sample1.2s

Algorithm
intervals
Results
670.0ms10123×body80valid