Details

Time bar (total: 7.7s)

sample44.0ms

Algorithm
intervals
Results
26.0ms281×body80valid

simplify161.0ms

Counts
1 → 1
Iterations
IterNodes
done160
9160
8157
7147
6131
5100
475
348
227
114
08

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.6b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
8.6b
(/ (* x (- y z)) (- t z))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
24×*-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* times-frac associate-*r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×expm1-log1p-u cbrt-undiv sub-neg div-exp prod-exp associate-/r/ cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp associate-/l/
1×clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 79
Calls
2 calls:
26.0ms
(* x (- y z))
21.0ms
(/ (* x (- y z)) (- t z))

series193.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(* x (- y z))
128.0ms
(/ (* x (- y z)) (- t z))

simplify782.0ms

Counts
85 → 85
Iterations
IterNodes
done2000
21061
1397
0159

prune341.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-cbrt-cube add-exp-log
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×expm1-log1p-u cbrt-undiv div-exp prod-exp cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp unswap-sqr associate-/l/
1×clear-num frac-2neg div-sub pow-prod-down associate-*r/ *-commutative
Counts
2 → 108
Calls
2 calls:
28.0ms
(/ (- y z) (- t z))
25.0ms
(* x (/ (- y z) (- t z)))

series199.0ms

Counts
2 → 6
Calls
2 calls:
86.0ms
(/ (- y z) (- t z))
114.0ms
(* x (/ (- y z) (- t z)))

simplify746.0ms

Counts
114 → 114
Iterations
IterNodes
done2002
21142
1377
0144

prune426.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-cbrt-cube add-exp-log
8×associate-/l*
6×flip3-- div-inv flip--
4×cbrt-undiv div-exp
2×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp associate-/l/
1×div-sub
Counts
2 → 200
Calls
2 calls:
15.0ms
(/ (- t z) (- y z))
19.0ms
(/ x (/ (- t z) (- y z)))

series267.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(/ (- t z) (- y z))
204.0ms
(/ x (/ (- t z) (- y z)))

simplify508.0ms

Counts
206 → 206
Iterations
IterNodes
done2001
1739
0276

prune928.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y z))
0.2b
(* (- t z) (/ 1 (- y z)))
1.8b
(/ x (* (- t z) (/ 1 (- y z))))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
42×*-un-lft-identity
35×times-frac
31×add-exp-log
25×add-cube-cbrt
21×associate-*r*
19×add-cbrt-cube
11×div-exp
10×associate-/r/
8×prod-exp distribute-lft-out-- difference-of-squares
6×pow1 cbrt-undiv associate-/r* flip3-- flip-- associate-/l*
5×associate-*l*
4×frac-times associate-*l/ cbrt-unprod
3×expm1-log1p-u rec-exp 1-exp insert-posit16 log1p-expm1-u div-inv add-log-exp unswap-sqr
2×clear-num frac-2neg associate-*r/ un-div-inv
1×pow-prod-down *-commutative pow-flip inv-pow
Counts
3 → 131
Calls
3 calls:
15.0ms
(/ 1 (- y z))
34.0ms
(* (- t z) (/ 1 (- y z)))
23.0ms
(/ x (* (- t z) (/ 1 (- y z))))

series327.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ 1 (- y z))
59.0ms
(* (- t z) (/ 1 (- y z)))
219.0ms
(/ x (* (- t z) (/ 1 (- y z))))

simplify854.0ms

Counts
140 → 140
Iterations
IterNodes
done2003
21648
1435
0180

prune441.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes157.0ms

Accuracy

0% (2.1b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done9
19
08

end0.0ms

sample1.0s

Algorithm
intervals
Results
791.0ms8708×body80valid