Details

Time bar (total: 17.5s)

sample33.0ms

Algorithm
intervals
Results
13.0ms265×body80valid

simplify5.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08164
114164
228164
363164
4154164
5305164
6565164
71290164
82247164
92929164
103677164
114236164
124671164
done5000164

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt flip3-- flip--
10×*-un-lft-identity
9×add-cbrt-cube add-exp-log
8×frac-times associate-/r/
6×add-cube-cbrt
5×associate-*r* associate-*l*
4×pow1 associate-*l/ associate-*r/
3×times-frac associate-/l*
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in div-exp prod-exp cbrt-unprod 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 → 63
Calls
2 calls:
33.0ms
(* (- y z) (- t z))
13.0ms
(/ x (* (- y z) (- t z)))

series232.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(* (- y z) (- t z))
182.0ms
(/ x (* (- y z) (- t z)))

simplify1.2s

Counts
69 → 69
Iterations

Useful iterations: done (1.2s)

IterNodesCost
012419928
131215903
2118815503
done500115463

prune266.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

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)))

rewrite65.0ms

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×associate-/r/ add-log-exp
3×pow1/3
2×flip3-- div-inv flip--
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 110
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
59.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

series898.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(cbrt x)
277.0ms
(cbrt x)
257.0ms
(cbrt x)
161.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

simplify2.5s

Counts
122 → 122
Iterations

Useful iterations: done (2.5s)

IterNodesCost
018042289
156638989
2222538105
done500032985

prune617.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite45.0ms

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×pow1 clear-num frac-2neg add-log-exp
1×associate-/l/
Counts
2 → 185
Calls
2 calls:
8.0ms
(/ x (- y z))
24.0ms
(/ (/ x (- y z)) (- t z))

series195.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ x (- y z))
155.0ms
(/ (/ x (- y z)) (- t z))

simplify1.5s

Counts
191 → 191
Iterations

Useful iterations: done (1.5s)

IterNodesCost
026476292
164470335
2176369814
done500069694

prune783.0ms

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))

rewrite46.0ms

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×pow1 clear-num frac-2neg add-log-exp
1×associate-/l/
Counts
2 → 185
Calls
2 calls:
13.0ms
(/ x (- t z))
23.0ms
(/ (/ x (- t z)) (- y z))

series168.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ x (- t z))
133.0ms
(/ (/ x (- t z)) (- y z))

simplify1.5s

Counts
191 → 191
Iterations

Useful iterations: done (1.4s)

IterNodesCost
026476292
164470335
2176369814
done500069694

prune741.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes517.0ms

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

sample923.0ms

Algorithm
intervals
Results
625.0ms8446×body80valid