Details

Time bar (total: 13.8s)

sample33.0ms

Algorithm
intervals
Results
13.0ms285×body80valid

simplify135.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.9b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite71.0ms

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 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 → 77
Calls
2 calls:
33.0ms
(* x (- y z))
34.0ms
(/ (* x (- y z)) (- t z))

series150.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(* x (- y z))
91.0ms
(/ (* x (- y z)) (- t z))

simplify2.6s

Counts
83 → 83
Iterations
IterNodes
done5000
34574
21048
1392
0157

prune371.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
2.3b
(/ x (/ (- t z) (- y z)))

rewrite55.0ms

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 log1p-expm1-u add-log-exp associate-/l/
1×div-sub
Counts
2 → 198
Calls
2 calls:
21.0ms
(/ (- t z) (- y z))
21.0ms
(/ x (/ (- t z) (- y z)))

series279.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(/ (- t z) (- y z))
197.0ms
(/ x (/ (- t z) (- y z)))

simplify1.7s

Counts
204 → 204
Iterations
IterNodes
done5002
22750
1737
0274

prune974.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y z))
0.2b
(* (- t z) (/ 1 (- y z)))
2.3b
(/ x (* (- t z) (/ 1 (- y z))))

rewrite83.0ms

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 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 → 128
Calls
3 calls:
9.0ms
(/ 1 (- y z))
43.0ms
(* (- t z) (/ 1 (- y z)))
28.0ms
(/ x (* (- t z) (/ 1 (- y z))))

series340.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(/ 1 (- y z))
78.0ms
(* (- t z) (/ 1 (- y z)))
214.0ms
(/ x (* (- t z) (/ 1 (- y z))))

simplify1.6s

Counts
137 → 137
Iterations
IterNodes
done5002
21842
1432
0177

prune644.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
2.4b
(* x (/ (- y z) (- t z)))

rewrite71.0ms

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 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 → 106
Calls
2 calls:
25.0ms
(/ (- y z) (- t z))
40.0ms
(* x (/ (- y z) (- t z)))

series194.0ms

Counts
2 → 6
Calls
2 calls:
86.0ms
(/ (- y z) (- t z))
108.0ms
(* x (/ (- y z) (- t z)))

simplify2.4s

Counts
112 → 112
Iterations
IterNodes
done5000
34646
21155
1375
0142

prune504.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes783.0ms

Accuracy

39.6% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.4b

bsearch1.0ms

simplify3.0ms

Iterations
IterNodes
done25
125
020

end0.0ms

sample792.0ms

Algorithm
intervals
Results
398.0ms8736×body80valid