Details

Time bar (total: 26.1s)

sample28.0ms

Algorithm
intervals
Results
15.0ms280×body80valid

simplify141.0ms

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: 12.3b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
12.3b
(/ (* x (- y z)) (- t z))

rewrite56.0ms

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))
27.0ms
(/ (* x (- y z)) (- t z))

series143.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(* x (- y z))
99.0ms
(/ (* x (- y z)) (- t z))

simplify2.7s

Counts
85 → 85
Iterations
IterNodes
done5000
34544
21061
1397
0159

prune261.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
3.3b
(* x (/ (- y z) (- t z)))

rewrite74.0ms

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:
23.0ms
(/ (- y z) (- t z))
47.0ms
(* x (/ (- y z) (- t z)))

series152.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(/ (- y z) (- t z))
84.0ms
(* x (/ (- y z) (- t z)))

simplify2.8s

Counts
114 → 114
Iterations
IterNodes
done5000
34741
21142
1377
0144

prune397.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ y (- t z)) (/ z (- t z)))
0.0b
(/ z (- t z))
0.0b
(/ y (- t z))
3.3b
(* x (- (/ y (- t z)) (/ z (- t z))))

rewrite696.0ms

Algorithm
rewrite-expression-head
Rules
2003×*-un-lft-identity
1985×add-sqr-sqrt
1971×times-frac
1323×prod-diff
1173×add-cube-cbrt
443×distribute-rgt-in distribute-lft-in
413×distribute-lft-out--
401×difference-of-squares
266×associate-/r/
135×flip3-- flip--
133×div-inv
21×fma-neg
18×associate-*r*
10×associate-/r* add-cbrt-cube add-exp-log
6×pow1 distribute-rgt-out-- associate-/l* add-log-exp
4×expm1-log1p-u associate-*r/ insert-posit16 log1p-expm1-u
3×sub-neg associate-*l*
2×cbrt-undiv clear-num frac-2neg div-exp frac-sub sub-div
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 1500
Calls
4 calls:
116.0ms
(- (/ y (- t z)) (/ z (- t z)))
11.0ms
(/ z (- t z))
11.0ms
(/ y (- t z))
382.0ms
(* x (- (/ y (- t z)) (/ z (- t z))))

series365.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(- (/ y (- t z)) (/ z (- t z)))
73.0ms
(/ z (- t z))
39.0ms
(/ y (- t z))
153.0ms
(* x (- (/ y (- t z)) (/ z (- t z))))

simplify4.6s

Counts
1512 → 1512
Iterations
IterNodes
done5001
12168
01286

prune8.9s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
3.4b
(/ x (/ (- t z) (- y z)))

rewrite76.0ms

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:
33.0ms
(/ (- t z) (- y z))
35.0ms
(/ x (/ (- t z) (- y z)))

series349.0ms

Counts
2 → 6
Calls
2 calls:
98.0ms
(/ (- t z) (- y z))
251.0ms
(/ x (/ (- t z) (- y z)))

simplify2.1s

Counts
206 → 206
Iterations
IterNodes
done5002
22766
1739
0276

prune833.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes287.0ms

Accuracy

9.4% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 2.1b

bsearch54.0ms

Steps
ItersRangePoint
4
9.620788410452318e-136
1.7936990023908403e-135
1.5991111356517593e-135
6
-1.9782407956218436e-245
-2.1730829162768744e-246
-1.1082063369415516e-245

simplify6.0ms

Iterations
IterNodes
done26
126
023

end0.0ms

sample913.0ms

Algorithm
intervals
Results
583.0ms8724×body80valid