Details

Time bar (total: 9.5s)

sample37.0ms

Algorithm
intervals
Results
15.0ms299×body80valid

simplify1.2s

Counts
1 → 1
Iterations
IterNodes
done5000
94856
81634
7579
6219
591
465
342
222
111
06

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

13.2b
(/ (- y z) (/ y x))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
85×add-sqr-sqrt *-un-lft-identity
57×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
13×associate-/r*
7×div-inv
6×add-cbrt-cube add-exp-log
5×associate-/l*
3×cbrt-undiv div-exp
2×associate-/l/
1×pow1 clear-num frac-2neg flip3-- div-sub associate-/r/ flip-- add-log-exp
Counts
1 → 101
Calls
1 calls:
19.0ms
(/ (- y z) (/ y x))

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(/ (- y z) (/ y x))

simplify873.0ms

Counts
104 → 104
Iterations
IterNodes
done5000
22861
1588
0190

prune519.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- y z))
0.2b
(/ 1 (/ (/ y (- y z)) x))
2.3b
(/ (/ y (- y z)) x)

rewrite91.0ms

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
4×pow1
3×rec-exp clear-num frac-2neg 1-exp add-log-exp
1×pow-flip inv-pow associate-/l/
Counts
3 → 435
Calls
3 calls:
12.0ms
(/ y (- y z))
27.0ms
(/ 1 (/ (/ y (- y z)) x))
23.0ms
(/ (/ y (- y z)) x)

series181.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ y (- y z))
61.0ms
(/ 1 (/ (/ y (- y z)) x))
70.0ms
(/ (/ y (- y z)) x)

simplify1.1s

Counts
444 → 444
Iterations
IterNodes
done5000
11647
0577

prune1.5s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (/ 1 y) (- y z))
2.4b
(* (* (/ 1 y) (- y z)) x)

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
20×add-sqr-sqrt
16×add-cbrt-cube
14×*-un-lft-identity associate-*l*
13×prod-exp
11×times-frac add-cube-cbrt
9×pow1
8×associate-*r*
7×associate-*l/ cbrt-unprod
4×frac-times flip3-- div-exp pow-prod-down associate-*r/ flip--
3×unswap-sqr
2×distribute-rgt-in cbrt-undiv rec-exp sub-neg distribute-lft-in 1-exp *-commutative add-log-exp
1×div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 72
Calls
2 calls:
37.0ms
(* (/ 1 y) (- y z))
62.0ms
(* (* (/ 1 y) (- y z)) x)

series109.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(* (/ 1 y) (- y z))
64.0ms
(* (* (/ 1 y) (- y z)) x)

simplify1.5s

Counts
78 → 78
Iterations
IterNodes
done5001
22368
1367
0131

prune257.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (/ (* x z) y))
6.5b
(/ (* x z) y)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
7×add-cbrt-cube add-exp-log
6×add-sqr-sqrt *-un-lft-identity
4×add-cube-cbrt add-log-exp
3×associate-/r* times-frac
2×pow1 cbrt-undiv div-exp
1×clear-num sub-neg frac-2neg flip3-- diff-log prod-exp cbrt-unprod div-inv flip-- associate-/l* distribute-lft-out-- difference-of-squares
Counts
2 → 35
Calls
2 calls:
7.0ms
(- x (/ (* x z) y))
8.0ms
(/ (* x z) y)

series59.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(- x (/ (* x z) y))
22.0ms
(/ (* x z) y)

simplify647.0ms

Counts
41 → 41
Iterations
IterNodes
done5000
2862
1178
071

prune127.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes152.0ms

Accuracy

46.2% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 3.2b

bsearch60.0ms

Steps
ItersRangePoint
7
4.08401810934449e-61
4.428711523805545e-59
3.3065708355697775e-59
8
-1.390355006936966e+96
-3.4706249299834572e+93
-1.8525368658465778e+94

simplify3.0ms

Iterations
IterNodes
done28
228
127
018

end0.0ms

sample796.0ms

Algorithm
intervals
Results
359.0ms9506×body80valid