Details

Time bar (total: 23.1s)

sample86.0ms

Algorithm
intervals
Results
39.0ms280×body80valid

simplify1.7s

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

prune33.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 28.9b

localize59.0ms

Local error

Found 4 expressions with local error:

0.1b
(* z (+ t (* (+ 11.1667541262 (* z 3.13060547623)) z)))
0.1b
(* z (+ a (* z (+ t (* (+ 11.1667541262 (* z 3.13060547623)) z)))))
0.1b
(* (/ (+ (* z (+ a (* z (+ t (* (+ 11.1667541262 (* z 3.13060547623)) z))))) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)) y)
28.1b
(/ (+ (* z (+ a (* z (+ t (* (+ 11.1667541262 (* z 3.13060547623)) z))))) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

rewrite337.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
24×*-un-lft-identity add-cube-cbrt
21×associate-*l*
19×times-frac
15×add-cbrt-cube add-exp-log
10×pow1
9×associate-*r*
5×flip3-+ flip-+
4×prod-exp associate-*r/ associate-/r/ cbrt-unprod add-log-exp unswap-sqr
3×associate-/r* pow-prod-down *-commutative associate-/l*
2×distribute-rgt-in cbrt-undiv distribute-lft-in div-exp div-inv associate-/l/
1×clear-num frac-2neg associate-*l/
Counts
4 → 109
Calls
4 calls:
26.0ms
(* z (+ t (* (+ 11.1667541262 (* z 3.13060547623)) z)))
24.0ms
(* z (+ a (* z (+ t (* (+ 11.1667541262 (* z 3.13060547623)) z)))))
168.0ms
(* (/ (+ (* z (+ a (* z (+ t (* (+ 11.1667541262 (* z 3.13060547623)) z))))) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)) y)
113.0ms
(/ (+ (* z (+ a (* z (+ t (* (+ 11.1667541262 (* z 3.13060547623)) z))))) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

series859.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(* z (+ t (* (+ 11.1667541262 (* z 3.13060547623)) z)))
111.0ms
(* z (+ a (* z (+ t (* (+ 11.1667541262 (* z 3.13060547623)) z)))))
349.0ms
(* (/ (+ (* z (+ a (* z (+ t (* (+ 11.1667541262 (* z 3.13060547623)) z))))) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)) y)
343.0ms
(/ (+ (* z (+ a (* z (+ t (* (+ 11.1667541262 (* z 3.13060547623)) z))))) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

simplify2.3s

Counts
121 → 121
Iterations
IterNodes
done5003
23850
1740
0244

prune1.5s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.5b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* y 3.13060547623) (/ 36.527041698806414 (/ z y)))
0.5b
(/ 36.527041698806414 (/ z y))
0.8b
(* (/ t z) (/ y z))
1.5b
(+ (- (* y 3.13060547623) (/ 36.527041698806414 (/ z y))) (* (/ t z) (/ y z)))

rewrite228.0ms

Algorithm
rewrite-expression-head
Rules
97×times-frac
72×add-sqr-sqrt
60×*-un-lft-identity add-cube-cbrt
21×add-cbrt-cube add-exp-log
13×associate-/r* associate-*r* associate-*l*
11×add-log-exp
7×cbrt-undiv div-exp div-inv
6×pow1 frac-add
4×flip3-- prod-exp cbrt-unprod flip-- unswap-sqr
3×frac-times associate-*l/ associate-*r/ associate-/l*
2×associate-+l+ sum-log sub-neg diff-log
1×+-commutative clear-num frac-2neg flip3-+ pow-prod-down associate-/r/ *-commutative associate-+l- flip-+
Counts
4 → 153
Calls
4 calls:
28.0ms
(- (* y 3.13060547623) (/ 36.527041698806414 (/ z y)))
14.0ms
(/ 36.527041698806414 (/ z y))
39.0ms
(* (/ t z) (/ y z))
140.0ms
(+ (- (* y 3.13060547623) (/ 36.527041698806414 (/ z y))) (* (/ t z) (/ y z)))

series215.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(- (* y 3.13060547623) (/ 36.527041698806414 (/ z y)))
24.0ms
(/ 36.527041698806414 (/ z y))
42.0ms
(* (/ t z) (/ y z))
85.0ms
(+ (- (* y 3.13060547623) (/ 36.527041698806414 (/ z y))) (* (/ t z) (/ y z)))

simplify2.4s

Counts
165 → 165
Iterations
IterNodes
done5000
24648
1865
0304

prune1.1s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.5b

localize46.0ms

Local error

Found 4 expressions with local error:

1.5b
(+ (* (/ t z) (/ y z)) (* y (- 3.13060547623 (/ 36.527041698806414 z))))
12.3b
(cbrt (+ (* (/ t z) (/ y z)) (* y (- 3.13060547623 (/ 36.527041698806414 z)))))
12.3b
(cbrt (+ (* (/ t z) (/ y z)) (* y (- 3.13060547623 (/ 36.527041698806414 z)))))
12.3b
(cbrt (+ (* (/ t z) (/ y z)) (* y (- 3.13060547623 (/ 36.527041698806414 z)))))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
32×associate-*r/
24×cbrt-div frac-add
12×flip3-- flip--
9×cbrt-prod
8×frac-times associate-*l/
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×add-log-exp
4×pow1 associate-+r+ flip3-+ add-cbrt-cube add-exp-log flip-+
3×pow1/3
2×distribute-rgt-in sub-neg distribute-lft-in
1×+-commutative sum-log
Counts
4 → 78
Calls
4 calls:
32.0ms
(+ (* (/ t z) (/ y z)) (* y (- 3.13060547623 (/ 36.527041698806414 z))))
17.0ms
(cbrt (+ (* (/ t z) (/ y z)) (* y (- 3.13060547623 (/ 36.527041698806414 z)))))
9.0ms
(cbrt (+ (* (/ t z) (/ y z)) (* y (- 3.13060547623 (/ 36.527041698806414 z)))))
10.0ms
(cbrt (+ (* (/ t z) (/ y z)) (* y (- 3.13060547623 (/ 36.527041698806414 z)))))

series2.6s

Counts
4 → 12
Calls
4 calls:
85.0ms
(+ (* (/ t z) (/ y z)) (* y (- 3.13060547623 (/ 36.527041698806414 z))))
865.0ms
(cbrt (+ (* (/ t z) (/ y z)) (* y (- 3.13060547623 (/ 36.527041698806414 z)))))
805.0ms
(cbrt (+ (* (/ t z) (/ y z)) (* y (- 3.13060547623 (/ 36.527041698806414 z)))))
835.0ms
(cbrt (+ (* (/ t z) (/ y z)) (* y (- 3.13060547623 (/ 36.527041698806414 z)))))

simplify814.0ms

Counts
90 → 90
Iterations
IterNodes
done5000
21612
1416
0143

prune1.1s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.5b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* (- (+ (/ t (* z z)) 3.13060547623) (/ 36.527041698806414 z)) y))
0.0b
(- (+ (/ t (* z z)) 3.13060547623) (/ 36.527041698806414 z))
3.1b
(* (- (+ (/ t (* z z)) 3.13060547623) (/ 36.527041698806414 z)) y)
7.7b
(/ t (* z z))

rewrite723.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
18×*-un-lft-identity
11×add-cbrt-cube add-exp-log add-log-exp
8×add-cube-cbrt
7×associate-*l*
6×pow1
5×times-frac
4×associate-*l/ frac-sub distribute-lft-out-- difference-of-squares
3×flip3-+ associate-*r* flip-+ associate-/l*
2×cbrt-undiv sum-log flip3-- diff-log div-exp prod-exp cbrt-unprod flip-- distribute-lft-out
1×+-commutative clear-num associate-/r* sub-neg frac-2neg pow-prod-down associate--l+ *-commutative div-inv unswap-sqr
Counts
4 → 78
Calls
4 calls:
96.0ms
(+ x (* (- (+ (/ t (* z z)) 3.13060547623) (/ 36.527041698806414 z)) y))
162.0ms
(- (+ (/ t (* z z)) 3.13060547623) (/ 36.527041698806414 z))
457.0ms
(* (- (+ (/ t (* z z)) 3.13060547623) (/ 36.527041698806414 z)) y)
6.0ms
(/ t (* z z))

series244.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(+ x (* (- (+ (/ t (* z z)) 3.13060547623) (/ 36.527041698806414 z)) y))
31.0ms
(- (+ (/ t (* z z)) 3.13060547623) (/ 36.527041698806414 z))
76.0ms
(* (- (+ (/ t (* z z)) 3.13060547623) (/ 36.527041698806414 z)) y)
25.0ms
(/ t (* z z))

simplify1.1s

Counts
90 → 90
Iterations
IterNodes
done5002
22041
1442
0163

prune634.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.5b

regimes1.6s

Accuracy

97.4% (0.7b remaining)

Error of 1.0b against oracle of 0.3b and baseline of 28.2b

bsearch435.0ms

Steps
ItersRangePoint
9
1138758382465949.5
3.186873369607365e+22
3.141354744539287e+22
7
-1.206049990062954e+51
-2.0700515967326768e+49
-1.0909237088750186e+50

simplify5.0ms

Iterations
IterNodes
done67
167
044

end0.0ms

sample2.9s

Algorithm
intervals
Results
2.1s8875×body80valid