Details

Time bar (total: 11.8s)

sample19.0ms

Algorithm
intervals
Results
8.0ms303×body80valid

simplify51.0ms

Counts
1 → 1
Iterations
IterNodes
done65
965
863
760
654
550
443
335
222
116
06

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

5.1b
(fma y (/ x z) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma y (/ x z) x)

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(fma y (/ x z) x)

simplify2.8s

Counts
13 → 13
Iterations
IterNodes
done5001
52334
4783
3194
257
126
018

prune64.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* y (/ x z)) x)
6.7b
(* y (/ x z))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*r*
10×*-un-lft-identity times-frac add-cube-cbrt
7×add-cbrt-cube add-exp-log
4×pow1 add-log-exp
3×associate-*l*
2×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u unswap-sqr
1×cbrt-undiv +-commutative sum-log fma-def flip3-+ div-exp pow-prod-down associate-*r/ *-commutative flip-+ div-inv
Counts
2 → 48
Calls
2 calls:
7.0ms
(+ (* y (/ x z)) x)
11.0ms
(* y (/ x z))

series50.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(+ (* y (/ x z)) x)
20.0ms
(* y (/ x z))

simplify2.5s

Counts
54 → 54
Iterations
IterNodes
done5000
33934
2841
1246
094

prune298.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
4.4b
(* (/ y (* (cbrt z) (cbrt z))) (/ x (cbrt z)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
28×times-frac
25×add-exp-log
22×*-un-lft-identity associate-*r* add-cube-cbrt
20×cbrt-prod
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×div-inv
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 100
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
46.0ms
(* (/ y (* (cbrt z) (cbrt z))) (/ x (cbrt z)))

series896.0ms

Counts
4 → 12
Calls
4 calls:
292.0ms
(cbrt z)
248.0ms
(cbrt z)
275.0ms
(cbrt z)
81.0ms
(* (/ y (* (cbrt z) (cbrt z))) (/ x (cbrt z)))

simplify1.4s

Counts
112 → 112
Iterations
IterNodes
done5001
21858
1446
0145

prune572.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1 (/ x (/ z y))) x)
5.4b
(/ x (/ z y))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
45×*-un-lft-identity
44×add-sqr-sqrt add-cube-cbrt
13×associate-/r*
7×add-cbrt-cube add-exp-log
5×div-inv
4×add-log-exp
3×cbrt-undiv div-exp associate-/l*
2×expm1-log1p-u pow1 log1p-expm1-u
1×+-commutative clear-num sum-log fma-def frac-2neg flip3-+ associate-/r/ flip-+ distribute-lft-out
Counts
2 → 87
Calls
2 calls:
11.0ms
(+ (* 1 (/ x (/ z y))) x)
10.0ms
(/ x (/ z y))

series53.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(+ (* 1 (/ x (/ z y))) x)
23.0ms
(/ x (/ z y))

simplify1.3s

Counts
93 → 93
Iterations
IterNodes
done5000
21429
1463
0178

prune498.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes286.0ms

Accuracy

46.3% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 3.0b

bsearch62.0ms

Steps
ItersRangePoint
8
5.613440721446712e-13
1.6991951531360092e-10
6.417038597580476e-13
7
-5.722918860320798e-97
-2.1084843274570222e-98
-4.459073850942771e-97

simplify3.0ms

Iterations
IterNodes
done29
129
018

end0.0ms

sample732.0ms

Algorithm
intervals
Results
338.0ms9616×body80valid