Details

Time bar (total: 18.7s)

sample36.0ms

Algorithm
intervals
Results
21.0ms273×body80valid

simplify171.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.4b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
8.4b
(/ (* x (- y z)) (- t z))

rewrite43.0ms

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:
16.0ms
(* x (- y z))
26.0ms
(/ (* x (- y z)) (- t z))

series154.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(* x (- y z))
94.0ms
(/ (* x (- y z)) (- t z))

simplify2.7s

Counts
85 → 85
Iterations
IterNodes
done5000
34544
21061
1397
0159

prune266.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
1.6b
(/ x (/ (- t z) (- y z)))

rewrite40.0ms

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:
18.0ms
(/ (- t z) (- y z))
15.0ms
(/ x (/ (- t z) (- y z)))

series308.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(/ (- t z) (- y z))
229.0ms
(/ x (/ (- t z) (- y z)))

simplify1.9s

Counts
206 → 206
Iterations
IterNodes
done5002
22766
1739
0276

prune768.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t (- y z))
0.0b
(- (/ t (- y z)) (/ z (- y z)))
0.0b
(/ z (- y z))
1.6b
(/ x (- (/ t (- y z)) (/ z (- y z))))

rewrite175.0ms

Algorithm
rewrite-expression-head
Rules
848×*-un-lft-identity
819×times-frac
798×add-sqr-sqrt
444×add-cube-cbrt
441×prod-diff
197×distribute-lft-out--
167×difference-of-squares
114×associate-/r/
57×flip3-- flip--
56×div-inv
28×associate-/r*
21×fma-neg
15×distribute-rgt-out--
10×add-cbrt-cube add-exp-log
9×associate-/l*
6×add-log-exp
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u
3×cbrt-undiv clear-num frac-2neg div-exp
2×frac-sub sub-div
1×sub-neg diff-log
Counts
4 → 668
Calls
4 calls:
13.0ms
(/ t (- y z))
72.0ms
(- (/ t (- y z)) (/ z (- y z)))
9.0ms
(/ z (- y z))
54.0ms
(/ x (- (/ t (- y z)) (/ z (- y z))))

series374.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(/ t (- y z))
91.0ms
(- (/ t (- y z)) (/ z (- y z)))
63.0ms
(/ z (- y z))
170.0ms
(/ x (- (/ t (- y z)) (/ z (- y z))))

simplify3.3s

Counts
680 → 680
Iterations
IterNodes
done5000
23919
11475
0678

prune3.2s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
1.6b
(* x (/ (- y z) (- t z)))

rewrite79.0ms

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:
39.0ms
(/ (- y z) (- t z))
37.0ms
(* x (/ (- y z) (- t z)))

series206.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(/ (- y z) (- t z))
131.0ms
(* x (/ (- y z) (- t z)))

simplify3.2s

Counts
114 → 114
Iterations
IterNodes
done5000
34741
21142
1377
0144

prune518.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes226.0ms

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
715.0ms8706×body80valid