Details

Time bar (total: 9.5s)

sample26.0ms

Algorithm
intervals
Results
13.0ms302×body80valid

simplify1.3s

Counts
1 → 1
Iterations
IterNodes
done5001
81908
7651
6240
5102
473
344
222
111
06

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.5b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
11.8b
(/ (* x (- y z)) y)

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity
18×prod-diff add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
9×add-cbrt-cube add-exp-log
5×associate-*r*
4×pow1 associate-*r/
3×associate-/r* times-frac associate-*l*
2×expm1-log1p-u cbrt-undiv sub-neg flip3-- div-exp prod-exp cbrt-unprod log1p-expm1-u flip-- add-log-exp associate-/l/
1×clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 71
Calls
2 calls:
25.0ms
(* x (- y z))
32.0ms
(/ (* x (- y z)) y)

series114.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(* x (- y z))
67.0ms
(/ (* x (- y z)) y)

simplify920.0ms

Counts
77 → 77
Iterations
IterNodes
done5002
21627
1351
0140

prune229.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
2.5b
(/ x (/ y (- y z)))

rewrite55.0ms

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/
9×add-cbrt-cube add-exp-log
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
2×expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u add-log-exp
Counts
2 → 143
Calls
2 calls:
20.0ms
(/ y (- y z))
22.0ms
(/ x (/ y (- y z)))

series183.0ms

Counts
2 → 6
Calls
2 calls:
98.0ms
(/ y (- y z))
85.0ms
(/ x (/ y (- y z)))

simplify1.2s

Counts
149 → 149
Iterations
IterNodes
done5000
22812
1565
0222

prune759.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y z))
0.2b
(* y (/ 1 (- y z)))
2.5b
(/ x (* y (/ 1 (- y z))))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
40×*-un-lft-identity
35×times-frac
31×add-exp-log
25×add-cube-cbrt
21×associate-*r*
19×add-cbrt-cube
11×div-exp
8×prod-exp
7×distribute-lft-out-- difference-of-squares
6×pow1 cbrt-undiv associate-/r* associate-/r/ associate-/l*
4×cbrt-unprod
3×expm1-log1p-u rec-exp 1-exp associate-*l* log1p-expm1-u div-inv add-log-exp unswap-sqr
2×clear-num frac-2neg flip3-- associate-*r/ un-div-inv flip--
1×pow-prod-down *-commutative pow-flip inv-pow
Counts
3 → 118
Calls
3 calls:
19.0ms
(/ 1 (- y z))
34.0ms
(* y (/ 1 (- y z)))
28.0ms
(/ x (* y (/ 1 (- y z))))

series204.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ 1 (- y z))
52.0ms
(* y (/ 1 (- y z)))
106.0ms
(/ x (* y (/ 1 (- y z))))

simplify1.0s

Counts
127 → 127
Iterations
IterNodes
done5002
21715
1384
0153

prune547.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) y)
2.7b
(* x (/ (- y z) y))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
9×add-cbrt-cube add-exp-log
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1
3×associate-/r* associate-*l*
2×expm1-log1p-u cbrt-undiv div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr associate-/l/
1×clear-num frac-2neg flip3-- div-sub pow-prod-down associate-*r/ *-commutative flip--
Counts
2 → 80
Calls
2 calls:
18.0ms
(/ (- y z) y)
23.0ms
(* x (/ (- y z) y))

series140.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(/ (- y z) y)
80.0ms
(* x (/ (- y z) y))

simplify1.2s

Counts
86 → 86
Iterations
IterNodes
done5000
21287
1288
0115

prune372.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes243.0ms

Accuracy

8.9% (2.9b remaining)

Error of 2.9b against oracle of 0.0b and baseline of 3.2b

bsearch72.0ms

Steps
ItersRangePoint
7
1.8515451934410557e-304
6.757511290537117e-303
1.3183265886093979e-303
8
-8.492677192714912e-172
-8.3353368175806e-175
-7.987697433686589e-172

simplify3.0ms

Iterations
IterNodes
done24
124
019

end0.0ms

sample757.0ms

Algorithm
intervals
Results
404.0ms9566×body80valid