Details

Time bar (total: 15.7s)

sample27.0ms

Algorithm
intervals
Results
11.0ms295×body80valid

simplify2.2s

Counts
1 → 1
Iterations
IterNodes
done5001
112888
101219
9525
8246
7140
6102
583
461
339
220
111
06

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.2b

localize10.0ms

Local error

Found 1 expressions with local error:

10.6b
(/ (* x (- y z)) y)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube add-exp-log
add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
cbrt-undiv div-exp associate-*r/ associate-/l/
expm1-log1p-u pow1 clear-num frac-2neg flip3-- prod-exp cbrt-unprod log1p-expm1-u div-inv flip-- associate-/l* add-log-exp
Counts
1 → 25
Calls
1 calls:
22.0ms
(/ (* x (- y z)) y)

series67.0ms

Counts
1 → 3
Calls
1 calls:
67.0ms
(/ (* x (- y z)) y)

simplify2.2s

Counts
28 → 28
Iterations
IterNodes
done5028
32899
2591
1164
061

prune155.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
2.1b
(/ x (/ y (- y z)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
add-cbrt-cube add-exp-log
div-inv associate-/l*
flip3-- flip--
cbrt-undiv div-exp
expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u add-log-exp
Counts
2 → 143
Calls
2 calls:
15.0ms
(/ y (- y z))
27.0ms
(/ x (/ y (- y z)))

series168.0ms

Counts
2 → 6
Calls
2 calls:
78.0ms
(/ y (- y z))
89.0ms
(/ x (/ y (- y z)))

simplify1.6s

Counts
149 → 149
Iterations
IterNodes
done5001
21985
1559
0222

prune613.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- y z))
0.2b
(/ 1 (/ (/ y (- y z)) x))
2.1b
(/ (/ y (- y z)) x)

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
771×times-frac
439×add-sqr-sqrt *-un-lft-identity
335×add-cube-cbrt
75×associate-/r*
52×distribute-lft-out-- difference-of-squares
35×associate-/r/
31×add-exp-log
27×associate-/l*
23×div-inv
19×add-cbrt-cube div-exp
17×flip3-- flip--
10×cbrt-undiv
pow1
expm1-log1p-u rec-exp clear-num frac-2neg 1-exp log1p-expm1-u add-log-exp
pow-flip inv-pow associate-/l/
Counts
3 → 441
Calls
3 calls:
9.0ms
(/ y (- y z))
31.0ms
(/ 1 (/ (/ y (- y z)) x))
18.0ms
(/ (/ y (- y z)) x)

series232.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(/ y (- y z))
57.0ms
(/ 1 (/ (/ y (- y z)) x))
122.0ms
(/ (/ y (- y z)) x)

simplify2.6s

Counts
450 → 450
Iterations
IterNodes
done5001
23678
11584
0583

prune1.7s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) y)
2.4b
(* (/ (- y z) y) x)

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*l*
add-cbrt-cube add-exp-log
distribute-lft-out-- difference-of-squares
associate-/l*
pow1
associate-/r* associate-*r*
expm1-log1p-u cbrt-undiv div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr associate-/l/
clear-num frac-2neg flip3-- div-sub pow-prod-down associate-*l/ *-commutative flip--
Counts
2 → 80
Calls
2 calls:
23.0ms
(/ (- y z) y)
40.0ms
(* (/ (- y z) y) x)

series114.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ (- y z) y)
78.0ms
(* (/ (- y z) y) x)

simplify2.2s

Counts
86 → 86
Iterations
IterNodes
done5003
33404
2845
1282
0116

prune402.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes241.0ms

Accuracy

-6.9% (3.1b remaining)

Error of 3.2b against oracle of 0.0b and baseline of 3.0b

bsearch73.0ms

Steps
ItersRangePoint
10
-1.3478398739564912e-281
-2.599330916107497e-292
-5.930195457290964e-283
7
-8.703467406804623e-44
-4.5710759460396457e-45
-2.8568771498115e-44

simplify3.0ms

Iterations
IterNodes
done19
119
014

end0.0ms

sample779.0ms

Algorithm
intervals
Results
465.0ms9695×body80valid