Details

Time bar (total: 18.7s)

sample48.0ms

Algorithm
intervals
Results
28.0ms256×body80valid

simplify1.5s

Counts
1 → 1
Iterations
IterNodes
done5003
61725
5509
4215
3116
252
126
013

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ y (- z (* (/ y 2.0) (/ t z)))))
5.5b
(* (/ y 2.0) (/ t z))
5.7b
(/ y (- z (* (/ y 2.0) (/ t z))))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
79×add-sqr-sqrt
64×*-un-lft-identity
62×add-cube-cbrt
59×times-frac
45×prod-diff
17×add-cbrt-cube add-exp-log
13×associate-*r* associate-*l*
8×associate-/r/
6×div-inv
5×pow1 cbrt-undiv flip3-- div-exp flip-- add-log-exp
4×prod-exp cbrt-unprod unswap-sqr
3×expm1-log1p-u associate-/r* fma-neg log1p-expm1-u associate-/l*
2×difference-of-squares
1×frac-times clear-num sub-neg frac-2neg diff-log pow-prod-down associate-*l/ associate-*r/ *-commutative distribute-lft-out--
Counts
3 → 148
Calls
3 calls:
18.0ms
(- x (/ y (- z (* (/ y 2.0) (/ t z)))))
22.0ms
(* (/ y 2.0) (/ t z))
7.0ms
(/ y (- z (* (/ y 2.0) (/ t z))))

series327.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(- x (/ y (- z (* (/ y 2.0) (/ t z)))))
32.0ms
(* (/ y 2.0) (/ t z))
213.0ms
(/ y (- z (* (/ y 2.0) (/ t z))))

simplify2.0s

Counts
157 → 157
Iterations
IterNodes
done5006
22586
1832
0303

prune975.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.5b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* y (/ 1 (- z (* (/ y 2.0) (/ t z))))))
0.3b
(/ 1 (- z (* (/ y 2.0) (/ t z))))
5.4b
(* y (/ 1 (- z (* (/ y 2.0) (/ t z)))))
5.5b
(* (/ y 2.0) (/ t z))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt
42×times-frac
37×*-un-lft-identity
36×add-cube-cbrt
29×add-exp-log
28×associate-*r*
23×add-cbrt-cube
16×associate-*l*
9×pow1
8×div-exp prod-exp
7×unswap-sqr
6×cbrt-undiv cbrt-unprod add-log-exp
4×expm1-log1p-u associate-/r/ log1p-expm1-u div-inv
3×associate-/r* flip3-- fma-neg prod-diff flip-- associate-/l*
2×rec-exp 1-exp pow-prod-down associate-*r/ *-commutative
1×frac-times clear-num sub-neg frac-2neg diff-log associate-*l/ un-div-inv pow-flip inv-pow
Counts
4 → 147
Calls
4 calls:
7.0ms
(- x (* y (/ 1 (- z (* (/ y 2.0) (/ t z))))))
11.0ms
(/ 1 (- z (* (/ y 2.0) (/ t z))))
26.0ms
(* y (/ 1 (- z (* (/ y 2.0) (/ t z)))))
21.0ms
(* (/ y 2.0) (/ t z))

series446.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(- x (* y (/ 1 (- z (* (/ y 2.0) (/ t z))))))
49.0ms
(/ 1 (- z (* (/ y 2.0) (/ t z))))
248.0ms
(* y (/ 1 (- z (* (/ y 2.0) (/ t z)))))
42.0ms
(* (/ y 2.0) (/ t z))

simplify1.4s

Counts
159 → 159
Iterations
IterNodes
done5001
22051
1630
0237

prune924.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.5b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ 1 (/ (- z (* (/ y 2.0) (/ t z))) y)))
0.7b
(/ 1 (/ (- z (* (/ y 2.0) (/ t z))) y))
5.5b
(/ (- z (* (/ y 2.0) (/ t z))) y)
5.5b
(* (/ y 2.0) (/ t z))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
310×times-frac
244×add-sqr-sqrt
223×*-un-lft-identity
218×add-cube-cbrt
132×prod-diff
29×add-exp-log
23×add-cbrt-cube
21×div-inv
16×associate-/r*
13×associate-*r* associate-*l*
12×div-exp
8×cbrt-undiv
7×pow1
6×associate-/l* add-log-exp
5×difference-of-squares
4×expm1-log1p-u prod-exp associate-/r/ cbrt-unprod log1p-expm1-u unswap-sqr
3×fma-neg
2×rec-exp clear-num frac-2neg flip3-- 1-exp flip-- distribute-lft-out-- associate-/l/
1×frac-times sub-neg diff-log div-sub pow-prod-down associate-*l/ associate-*r/ *-commutative pow-flip inv-pow
Counts
4 → 318
Calls
4 calls:
31.0ms
(- x (/ 1 (/ (- z (* (/ y 2.0) (/ t z))) y)))
11.0ms
(/ 1 (/ (- z (* (/ y 2.0) (/ t z))) y))
19.0ms
(/ (- z (* (/ y 2.0) (/ t z))) y)
29.0ms
(* (/ y 2.0) (/ t z))

series191.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(- x (/ 1 (/ (- z (* (/ y 2.0) (/ t z))) y)))
41.0ms
(/ 1 (/ (- z (* (/ y 2.0) (/ t z))) y))
59.0ms
(/ (- z (* (/ y 2.0) (/ t z))) y)
30.0ms
(* (/ y 2.0) (/ t z))

simplify3.0s

Counts
330 → 330
Iterations
IterNodes
done5000
24572
11650
0599

prune2.1s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.5 (/ t z))
0.0b
(- (/ z y) (* 0.5 (/ t z)))
0.0b
(- x (/ 1 (- (/ z y) (* 0.5 (/ t z)))))
0.7b
(/ 1 (- (/ z y) (* 0.5 (/ t z))))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
84×add-sqr-sqrt
76×*-un-lft-identity
72×add-cube-cbrt
66×times-frac
61×prod-diff
16×fma-neg
13×associate-*r* add-exp-log
12×associate-/r/
11×add-cbrt-cube
8×div-inv add-log-exp
7×pow1
6×flip3-- associate-*r/ flip--
5×frac-sub
4×expm1-log1p-u log1p-expm1-u
3×associate-/r* div-exp associate-*l* associate-/l* difference-of-squares
2×cbrt-undiv sub-neg diff-log prod-exp cbrt-unprod distribute-lft-out-- unswap-sqr
1×rec-exp clear-num frac-2neg 1-exp pow-prod-down *-commutative pow-flip inv-pow
Counts
4 → 181
Calls
4 calls:
12.0ms
(* 0.5 (/ t z))
19.0ms
(- (/ z y) (* 0.5 (/ t z)))
61.0ms
(- x (/ 1 (- (/ z y) (* 0.5 (/ t z)))))
33.0ms
(/ 1 (- (/ z y) (* 0.5 (/ t z))))

series171.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* 0.5 (/ t z))
47.0ms
(- (/ z y) (* 0.5 (/ t z)))
53.0ms
(- x (/ 1 (- (/ z y) (* 0.5 (/ t z)))))
47.0ms
(/ 1 (- (/ z y) (* 0.5 (/ t z))))

simplify2.2s

Counts
193 → 193
Iterations
IterNodes
done5000
22056
1781
0315

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes448.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done15
115
012

end0.0ms

sample1.1s

Algorithm
intervals
Results
830.0ms8000×body80valid