Details

Time bar (total: 33.3s)

sample55.0ms

Algorithm
intervals
Results
39.0ms256×body80valid

simplify1.8s

Counts
1 → 1
Iterations
IterNodes
done5020
62439
5695
4324
3140
259
126
013

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.8b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ y (- z (/ (/ t 2.0) (/ z y)))))
0.0b
(- z (/ (/ t 2.0) (/ z y)))
5.0b
(/ (/ t 2.0) (/ z y))
6.0b
(/ y (- z (/ (/ t 2.0) (/ z y))))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
1851×times-frac
1268×add-sqr-sqrt
1041×*-un-lft-identity
1011×add-cube-cbrt
621×prod-diff
114×div-inv
72×difference-of-squares
22×associate-/r*
18×add-cbrt-cube add-exp-log
16×associate-/l*
15×distribute-lft-out--
12×associate-/r/
9×cbrt-undiv div-exp
8×add-log-exp
6×flip3-- fma-neg flip--
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u
2×clear-num sub-neg frac-2neg diff-log
1×associate-/l/
Counts
4 → 940
Calls
4 calls:
40.0ms
(- x (/ y (- z (/ (/ t 2.0) (/ z y)))))
17.0ms
(- z (/ (/ t 2.0) (/ z y)))
9.0ms
(/ (/ t 2.0) (/ z y))
20.0ms
(/ y (- z (/ (/ t 2.0) (/ z y))))

series430.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(- x (/ y (- z (/ (/ t 2.0) (/ z y)))))
47.0ms
(- z (/ (/ t 2.0) (/ z y)))
43.0ms
(/ (/ t 2.0) (/ z y))
250.0ms
(/ y (- z (/ (/ t 2.0) (/ z y))))

simplify2.1s

Counts
952 → 952
Iterations
IterNodes
done5001
01974

prune7.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.7b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(- z (* (/ (/ t 2.0) z) y))
0.0b
(- x (/ y (- z (* (/ (/ t 2.0) z) y))))
5.2b
(* (/ (/ t 2.0) z) y)
6.0b
(/ y (- z (* (/ (/ t 2.0) z) y)))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
106×times-frac
101×add-sqr-sqrt
89×*-un-lft-identity
87×add-cube-cbrt
48×prod-diff
43×associate-*l*
15×add-cbrt-cube add-exp-log
8×associate-/r/ div-inv add-log-exp
6×pow1 flip3-- fma-neg flip--
4×expm1-log1p-u cbrt-undiv div-exp insert-posit16 log1p-expm1-u
3×associate-/r* associate-*r* prod-exp cbrt-unprod associate-/l* unswap-sqr
2×sub-neg diff-log difference-of-squares
1×clear-num frac-2neg pow-prod-down associate-*l/ *-commutative distribute-lft-out--
Counts
4 → 187
Calls
4 calls:
18.0ms
(- z (* (/ (/ t 2.0) z) y))
26.0ms
(- x (/ y (- z (* (/ (/ t 2.0) z) y))))
14.0ms
(* (/ (/ t 2.0) z) y)
7.0ms
(/ y (- z (* (/ (/ t 2.0) z) y)))

series503.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(- z (* (/ (/ t 2.0) z) y))
124.0ms
(- x (/ y (- z (* (/ (/ t 2.0) z) y))))
48.0ms
(* (/ (/ t 2.0) z) y)
272.0ms
(/ y (- z (* (/ (/ t 2.0) z) y)))

simplify2.1s

Counts
199 → 199
Iterations
IterNodes
done5003
22890
1937
0360

prune1.3s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ 1 (- (/ z y) (/ (/ t 2.0) z))))
0.0b
(- (/ z y) (/ (/ t 2.0) z))
0.2b
(/ 1 (- (/ z y) (/ (/ t 2.0) z)))

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
1542×times-frac
1169×add-sqr-sqrt
956×*-un-lft-identity
868×add-cube-cbrt
679×prod-diff
101×div-inv
87×difference-of-squares
30×distribute-lft-out--
16×fma-neg
12×associate-/r/
11×associate-/r*
7×add-exp-log add-log-exp
6×flip3-- flip--
5×add-cbrt-cube frac-sub
4×pow1
3×expm1-log1p-u insert-posit16 log1p-expm1-u associate-/l*
2×sub-neg diff-log div-exp
1×cbrt-undiv rec-exp clear-num frac-2neg 1-exp pow-flip inv-pow
Counts
3 → 808
Calls
3 calls:
84.0ms
(- x (/ 1 (- (/ z y) (/ (/ t 2.0) z))))
17.0ms
(- (/ z y) (/ (/ t 2.0) z))
25.0ms
(/ 1 (- (/ z y) (/ (/ t 2.0) z)))

series119.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(- x (/ 1 (- (/ z y) (/ (/ t 2.0) z))))
54.0ms
(- (/ z y) (/ (/ t 2.0) z))
33.0ms
(/ 1 (- (/ z y) (/ (/ t 2.0) z)))

simplify2.5s

Counts
817 → 817
Iterations
IterNodes
done5001
13035
01269

prune7.0s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

5.0b
(/ (/ t 2.0) (/ z y))
11.4b
(cbrt (- z (/ (/ t 2.0) (/ z y))))
11.4b
(cbrt (- z (/ (/ t 2.0) (/ z y))))
11.4b
(cbrt (- z (/ (/ t 2.0) (/ z y))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
445×times-frac
257×add-sqr-sqrt
209×*-un-lft-identity
203×add-cube-cbrt
29×div-inv
27×cbrt-prod
16×add-cbrt-cube add-exp-log
15×difference-of-squares
13×associate-/r* associate-/l*
8×cbrt-undiv div-exp
6×cbrt-div
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
3×flip3-- pow1/3 flip-- distribute-lft-out--
1×clear-num frac-2neg associate-/r/ associate-/l/
Counts
4 → 284
Calls
4 calls:
11.0ms
(/ (/ t 2.0) (/ z y))
9.0ms
(cbrt (- z (/ (/ t 2.0) (/ z y))))
9.0ms
(cbrt (- z (/ (/ t 2.0) (/ z y))))
9.0ms
(cbrt (- z (/ (/ t 2.0) (/ z y))))

series571.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(/ (/ t 2.0) (/ z y))
161.0ms
(cbrt (- z (/ (/ t 2.0) (/ z y))))
182.0ms
(cbrt (- z (/ (/ t 2.0) (/ z y))))
176.0ms
(cbrt (- z (/ (/ t 2.0) (/ z y))))

simplify2.8s

Counts
296 → 296
Iterations
IterNodes
done5001
24925
11492
0503

prune2.2s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes264.0ms

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
done14
114
012

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.3s8000×body80valid