Details

Time bar (total: 16.3s)

sample28.0ms

Algorithm
intervals
Results
12.0ms351×body80valid

simplify3.9s

Counts
1 → 1
Iterations
IterNodes
done5001
133507
122216
111438
10920
9609
8462
7317
6187
5122
479
349
226
114
08

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y x) z)
7.7b
(/ (* (- y x) z) t)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-cbrt-cube add-exp-log
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*l*
4×pow1 associate-*l/
3×associate-/r* times-frac associate-*r*
2×expm1-log1p-u cbrt-undiv flip3-- div-exp prod-exp cbrt-unprod log1p-expm1-u flip-- add-log-exp associate-/l/
1×clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
21.0ms
(* (- y x) z)
14.0ms
(/ (* (- y x) z) t)

series113.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(* (- y x) z)
69.0ms
(/ (* (- y x) z) t)

simplify1.8s

Counts
55 → 55
Iterations
IterNodes
done5007
33580
2775
1240
095

prune257.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 1 expressions with local error:

5.3b
(* (- y x) (/ z t))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*r*
11×*-un-lft-identity
10×times-frac
9×add-cube-cbrt
6×add-cbrt-cube add-exp-log
5×associate-*l*
3×pow1
2×frac-times flip3-- associate-*l/ prod-exp cbrt-unprod flip-- unswap-sqr
1×expm1-log1p-u cbrt-undiv div-exp pow-prod-down associate-*r/ *-commutative log1p-expm1-u div-inv distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 40
Calls
1 calls:
22.0ms
(* (- y x) (/ z t))

series48.0ms

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

simplify2.1s

Counts
43 → 43
Iterations
IterNodes
done5001
33699
2843
1254
098

prune216.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
6.0b
(* (* (* (- y x) (cbrt z)) (cbrt z)) (/ (cbrt z) t))

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
22×associate-*r*
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×cbrt-prod times-frac
16×add-cbrt-cube
13×pow1
12×prod-exp cbrt-unprod
10×associate-*l/
6×pow-prod-down
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv pow1/3 div-exp
2×frac-times flip3-- flip--
1×associate-*l* associate-*r/ *-commutative div-inv
Counts
4 → 92
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
155.0ms
(* (* (* (- y x) (cbrt z)) (cbrt z)) (/ (cbrt z) t))

series949.0ms

Counts
4 → 12
Calls
4 calls:
264.0ms
(cbrt z)
249.0ms
(cbrt z)
307.0ms
(cbrt z)
128.0ms
(* (* (* (- y x) (cbrt z)) (cbrt z)) (/ (cbrt z) t))

simplify2.2s

Counts
104 → 104
Iterations
IterNodes
done5000
21759
1462
0151

prune563.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y x) z)
0.3b
(/ 1 (/ t (* (- y x) z)))
7.7b
(/ t (* (- y x) z))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
31×add-exp-log
29×add-sqr-sqrt
27×*-un-lft-identity
25×add-cube-cbrt
19×add-cbrt-cube
14×div-exp
12×associate-*l/
11×associate-/r/
10×associate-/r*
7×cbrt-undiv
6×pow1 flip3-- div-inv flip-- associate-/l*
5×associate-*l* prod-exp
3×expm1-log1p-u rec-exp 1-exp associate-*r* cbrt-unprod log1p-expm1-u add-log-exp
2×clear-num frac-2neg
1×pow-prod-down *-commutative pow-flip distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
3 → 115
Calls
3 calls:
17.0ms
(* (- y x) z)
19.0ms
(/ 1 (/ t (* (- y x) z)))
18.0ms
(/ t (* (- y x) z))

series210.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(* (- y x) z)
95.0ms
(/ 1 (/ t (* (- y x) z)))
70.0ms
(/ t (* (- y x) z))

simplify1.4s

Counts
124 → 124
Iterations
IterNodes
done5002
21234
1408
0178

prune502.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes269.0ms

Accuracy

7.7% (1.9b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.1b

bsearch96.0ms

Steps
ItersRangePoint
8
3.94162455355538e-98
1.0384081610065428e-93
9.722960166984673e-97
9
-2.4444123699078905e-281
-2.498771122844924e-286
-2.805118041439938e-286

simplify12.0ms

Iterations
IterNodes
done29
129
020

end0.0ms

sample1.2s

Algorithm
intervals
Results
639.0ms10657×body80valid