Details

Time bar (total: 20.9s)

sample19.0ms

Algorithm
intervals
Results
8.0ms265×body80valid

simplify6.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08164
114164
228164
367164
4178164
5398164
6816164
71868164
83142164
94483164
done5000164

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×*-un-lft-identity
18×prod-diff add-cube-cbrt
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
9×add-cbrt-cube add-exp-log
8×frac-times associate-/r/
5×associate-*r* associate-*l*
4×pow1 associate-*l/ associate-*r/
3×times-frac associate-/l*
2×expm1-log1p-u cbrt-undiv sub-neg div-exp prod-exp cbrt-unprod log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
1×clear-num associate-/r* frac-2neg pow-prod-down *-commutative div-inv unswap-sqr
Counts
2 → 85
Calls
2 calls:
53.0ms
(* (- y z) (- t z))
26.0ms
(/ x (* (- y z) (- t z)))

series243.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(* (- y z) (- t z))
197.0ms
(/ x (* (- y z) (- t z)))

simplify2.0s

Counts
91 → 91
Iterations

Useful iterations: done (1.9s)

IterNodesCost
017631548
143625724
2152221960
done500921840

prune401.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
1.2b
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
42×times-frac
40×*-un-lft-identity
36×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
11×associate-*l*
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
6×pow1 unswap-sqr
4×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
3×pow1/3
2×flip3-- div-inv flip--
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 118
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
99.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

series949.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(cbrt x)
246.0ms
(cbrt x)
309.0ms
(cbrt x)
196.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

simplify2.8s

Counts
130 → 130
Iterations

Useful iterations: done (2.8s)

IterNodesCost
018444063
157140738
2212139854
done500134414

prune786.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
1.7b
(/ (/ x (- y z)) (- t z))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
176×add-sqr-sqrt *-un-lft-identity
88×add-cube-cbrt
44×distribute-lft-out-- difference-of-squares
24×associate-/l*
16×associate-/r/
10×associate-/r*
9×add-cbrt-cube add-exp-log
8×flip3-- div-inv flip--
4×cbrt-undiv div-exp
2×expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 189
Calls
2 calls:
15.0ms
(/ x (- y z))
38.0ms
(/ (/ x (- y z)) (- t z))

series200.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ x (- y z))
167.0ms
(/ (/ x (- y z)) (- t z))

simplify1.6s

Counts
195 → 195
Iterations

Useful iterations: done (1.6s)

IterNodesCost
026877106
165070999
2171470478
done500870358

prune840.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- t z))
1.8b
(/ (/ x (- t z)) (- y z))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
176×add-sqr-sqrt *-un-lft-identity
88×add-cube-cbrt
44×distribute-lft-out-- difference-of-squares
24×associate-/l*
16×associate-/r/
10×associate-/r*
9×add-cbrt-cube add-exp-log
8×flip3-- div-inv flip--
4×cbrt-undiv div-exp
2×expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 189
Calls
2 calls:
11.0ms
(/ x (- t z))
27.0ms
(/ (/ x (- t z)) (- y z))

series246.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ x (- t z))
194.0ms
(/ (/ x (- t z)) (- y z))

simplify1.8s

Counts
195 → 195
Iterations

Useful iterations: done (1.7s)

IterNodesCost
026877106
165070999
2171470478
done500870358

prune1.0s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes543.0ms

Accuracy

1% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch95.0ms

Steps
ItersRangePoint
9
2.2348980970256577e-227
1.3586507239412737e-219
2.539024418620929e-223
9
-1.3145549976369481e+209
-1.4156846613570245e+202
-9.256433330744623e+202

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
016506
119506
done19506

end0.0ms

sample810.0ms

Algorithm
intervals
Results
422.0ms8446×body80valid