Details

Time bar (total: 19.1s)

sample124.0ms

Algorithm
intervals
Results
82.0ms296×body80valid

simplify1.8s

Counts
1 → 1
Iterations
IterNodes
done5000
41130
3337
2116
155
030

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.0b

localize80.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
0.1b
(* (+ (* z 3.13060547623) 11.1667541262) z)
1.9b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
29.5b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite424.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
15×add-cbrt-cube add-exp-log
12×*-un-lft-identity add-cube-cbrt
10×pow1
associate-*r* associate-*l*
flip3-+ flip-+
associate-*l/ prod-exp associate-*r/ cbrt-unprod insert-posit16 add-log-exp
associate-/r* times-frac pow-prod-down *-commutative unswap-sqr
cbrt-undiv div-exp associate-/r/ associate-/l/
distribute-rgt-in clear-num frac-2neg distribute-lft-in div-inv associate-/l*
Counts
4 → 91
Calls
4 calls:
75.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
20.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
162.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
166.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series1.1s

Counts
4 → 12
Calls
4 calls:
62.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
126.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
243.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
641.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify2.7s

Counts
103 → 103
Iterations
IterNodes
done5004
23204
1603
0210

prune783.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.5b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* y 36.527041698806414) z)
2.5b
(- (* (/ t (* z z)) y) (/ (* y 36.527041698806414) z))
7.0b
(* (/ t (* z z)) y)
8.1b
(/ t (* z z))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
23×add-cbrt-cube add-exp-log
15×add-sqr-sqrt
11×*-un-lft-identity add-cube-cbrt
10×times-frac
associate-*l*
pow1 cbrt-undiv div-exp prod-exp cbrt-unprod add-log-exp
associate-/r* insert-posit16 associate-/l*
associate-*r* div-inv
clear-num frac-2neg associate-*l/ unswap-sqr
sub-neg flip3-- diff-log pow-prod-down *-commutative frac-sub flip--
Counts
4 → 87
Calls
4 calls:
13.0ms
(/ (* y 36.527041698806414) z)
19.0ms
(- (* (/ t (* z z)) y) (/ (* y 36.527041698806414) z))
23.0ms
(* (/ t (* z z)) y)
11.0ms
(/ t (* z z))

series158.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(/ (* y 36.527041698806414) z)
59.0ms
(- (* (/ t (* z z)) y) (/ (* y 36.527041698806414) z))
44.0ms
(* (/ t (* z z)) y)
28.0ms
(/ t (* z z))

simplify1.2s

Counts
99 → 99
Iterations
IterNodes
done5001
22531
1389
0144

prune558.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.5b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ t z) z)
0.2b
(/ (* y 36.527041698806414) z)
2.5b
(- (* (/ (/ t z) z) y) (/ (* y 36.527041698806414) z))
7.0b
(* (/ (/ t z) z) y)

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
147×times-frac
93×add-sqr-sqrt
84×*-un-lft-identity add-cube-cbrt
43×associate-*l*
23×add-cbrt-cube add-exp-log
14×associate-/l*
10×div-inv
cbrt-undiv div-exp
pow1 associate-/r* add-log-exp
prod-exp cbrt-unprod insert-posit16
associate-*r* associate-*l/ unswap-sqr
clear-num frac-2neg
sub-neg flip3-- diff-log pow-prod-down *-commutative frac-sub flip-- sub-div associate-/l/
Counts
4 → 174
Calls
4 calls:
8.0ms
(/ (/ t z) z)
12.0ms
(/ (* y 36.527041698806414) z)
11.0ms
(- (* (/ (/ t z) z) y) (/ (* y 36.527041698806414) z))
14.0ms
(* (/ (/ t z) z) y)

series143.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ (/ t z) z)
30.0ms
(/ (* y 36.527041698806414) z)
59.0ms
(- (* (/ (/ t z) z) y) (/ (* y 36.527041698806414) z))
30.0ms
(* (/ (/ t z) z) y)

simplify2.0s

Counts
186 → 186
Iterations
IterNodes
done5000
24047
1744
0272

prune1.1s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.5b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* y 36.527041698806414) z)
2.5b
(- (/ t (/ (* z z) y)) (/ (* y 36.527041698806414) z))
6.7b
(/ t (/ (* z z) y))
8.1b
(/ (* z z) y)

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
32×add-sqr-sqrt
26×*-un-lft-identity
24×add-cube-cbrt
23×add-cbrt-cube add-exp-log
13×associate-/r*
cbrt-undiv div-exp
div-inv
add-log-exp
associate-/l*
pow1 insert-posit16
clear-num frac-2neg prod-exp cbrt-unprod difference-of-squares
sub-neg flip3-- diff-log associate-/r/ frac-sub flip-- distribute-lft-out--
Counts
4 → 111
Calls
4 calls:
11.0ms
(/ (* y 36.527041698806414) z)
17.0ms
(- (/ t (/ (* z z) y)) (/ (* y 36.527041698806414) z))
7.0ms
(/ t (/ (* z z) y))
8.0ms
(/ (* z z) y)

series150.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ (* y 36.527041698806414) z)
56.0ms
(- (/ t (/ (* z z) y)) (/ (* y 36.527041698806414) z))
40.0ms
(/ t (/ (* z z) y))
31.0ms
(/ (* z z) y)

simplify1.6s

Counts
123 → 123
Iterations
IterNodes
done5001
23564
1531
0192

prune615.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.5b

regimes949.0ms

Accuracy

95.3% (1.3b remaining)

Error of 1.7b against oracle of 0.4b and baseline of 26.9b

bsearch426.0ms

Steps
ItersRangePoint
10
1.6453422744072784e+17
7.772805423520324e+31
5.826555097007075e+25
11
-8.964901439259961e+39
-12360320489.129633
-8.355580014785396e+24

simplify32.0ms

Iterations
IterNodes
done78
178
053

end0.0ms

sample2.9s

Algorithm
intervals
Results
2.4s8941×body80valid