Details

Time bar (total: 15.6s)

sample19.0ms

Algorithm
intervals
Results
9.0ms272×body80valid

simplify3.4s

Counts
1 → 1
Iterations
IterNodes
done5000
124671
114236
103677
92929
82247
71290
6565
5305
4154
363
228
114
08

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.3b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
5.2b
(/ x (* (- y z) (- t z)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt flip3-- flip--
10×*-un-lft-identity
9×add-cbrt-cube add-exp-log
8×frac-times associate-/r/
6×add-cube-cbrt
5×associate-*r* associate-*l*
4×pow1 associate-*l/ associate-*r/
3×times-frac associate-/l*
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in div-exp prod-exp cbrt-unprod insert-posit16 distribute-lft-out-- add-log-exp difference-of-squares
1×clear-num associate-/r* frac-2neg pow-prod-down *-commutative div-inv unswap-sqr
Counts
2 → 65
Calls
2 calls:
34.0ms
(* (- y z) (- t z))
29.0ms
(/ x (* (- y z) (- t z)))

series249.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(* (- y z) (- t z))
198.0ms
(/ x (* (- y z) (- t z)))

simplify1.4s

Counts
71 → 71
Iterations
IterNodes
done5001
21190
1314
0126

prune437.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.9b
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
42×times-frac
40×*-un-lft-identity
36×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
11×associate-*l*
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
6×pow1 unswap-sqr
4×associate-/r/ insert-posit16 add-log-exp
3×pow1/3
2×flip3-- div-inv flip--
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 114
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
62.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

series1.1s

Counts
4 → 12
Calls
4 calls:
299.0ms
(cbrt x)
290.0ms
(cbrt x)
289.0ms
(cbrt x)
248.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

simplify2.1s

Counts
126 → 126
Iterations
IterNodes
done5000
22222
1568
0182

prune656.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- t z))
2.0b
(/ (/ x (- t z)) (- y z))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
176×add-sqr-sqrt *-un-lft-identity
88×add-cube-cbrt
44×distribute-lft-out-- difference-of-squares
24×associate-/l*
16×associate-/r/
10×associate-/r*
9×add-cbrt-cube add-exp-log
8×flip3-- div-inv flip--
4×cbrt-undiv div-exp
2×pow1 clear-num frac-2neg insert-posit16 add-log-exp
1×associate-/l/
Counts
2 → 187
Calls
2 calls:
14.0ms
(/ x (- t z))
38.0ms
(/ (/ x (- t z)) (- y z))

series223.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ x (- t z))
178.0ms
(/ (/ x (- t z)) (- y z))

simplify1.5s

Counts
193 → 193
Iterations
IterNodes
done5000
21760
1646
0266

prune679.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- t z))
0.0b
(/ 1 (- y z))
2.0b
(* (/ 1 (- y z)) (/ x (- t z)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
86×add-sqr-sqrt
71×*-un-lft-identity
67×times-frac
41×add-cube-cbrt
31×add-exp-log
21×associate-*r* associate-*l*
19×add-cbrt-cube
14×distribute-lft-out-- difference-of-squares
11×div-exp
10×associate-/r*
8×prod-exp associate-/r/
6×pow1 cbrt-undiv associate-/l* unswap-sqr
4×flip3-- cbrt-unprod div-inv flip--
3×rec-exp 1-exp insert-posit16 add-log-exp
2×clear-num frac-2neg
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative pow-flip inv-pow
Counts
3 → 153
Calls
3 calls:
9.0ms
(/ x (- t z))
9.0ms
(/ 1 (- y z))
36.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series317.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ x (- t z))
37.0ms
(/ 1 (- y z))
234.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify1.4s

Counts
162 → 162
Iterations
IterNodes
done5003
21635
1557
0201

prune545.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes277.0ms

Accuracy

-50.5% (2.8b remaining)

Error of 2.9b against oracle of 0.0b and baseline of 1.9b

bsearch92.0ms

Steps
ItersRangePoint
9
1.5112988179343922e+101
1.0942324262445282e+106
3.221537725138539e+102
8
7.468305106545731e-188
7.446147411180014e-184
2.230776748510506e-184

simplify4.0ms

Iterations
IterNodes
done20
120
016

end0.0ms

sample834.0ms

Algorithm
intervals
Results
505.0ms8452×body80valid