Details

Time bar (total: 14.8s)

sample28.0ms

Algorithm
intervals
Results
14.0ms315×body80valid

simplify2.2s

Counts
1 → 1
Iterations
IterNodes
done5001
112888
101219
9525
8246
7140
6102
583
461
339
220
111
06

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.4b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
11.4b
(/ (* x (- y z)) y)

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-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*
4×pow1 associate-*r/
3×associate-/r* times-frac associate-*l*
2×expm1-log1p-u cbrt-undiv sub-neg flip3-- div-exp prod-exp cbrt-unprod insert-posit16 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 → 73
Calls
2 calls:
25.0ms
(* x (- y z))
22.0ms
(/ (* x (- y z)) y)

series108.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(* x (- y z))
61.0ms
(/ (* x (- y z)) y)

simplify2.8s

Counts
79 → 79
Iterations
IterNodes
done5000
34962
2946
1333
0142

prune229.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
2.1b
(/ x (/ y (- y z)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-cbrt-cube add-exp-log
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
2×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
Counts
2 → 145
Calls
2 calls:
16.0ms
(/ y (- y z))
22.0ms
(/ x (/ y (- y z)))

series124.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(/ y (- y z))
62.0ms
(/ x (/ y (- y z)))

simplify1.7s

Counts
151 → 151
Iterations
IterNodes
done5003
22001
1561
0224

prune575.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) y)
2.2b
(* x (/ (- y z) y))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
9×add-cbrt-cube add-exp-log
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1
3×associate-/r* associate-*l*
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 flip3-- div-sub pow-prod-down associate-*r/ *-commutative flip--
Counts
2 → 82
Calls
2 calls:
20.0ms
(/ (- y z) y)
26.0ms
(* x (/ (- y z) y))

series90.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ (- y z) y)
53.0ms
(* x (/ (- y z) y))

simplify2.4s

Counts
88 → 88
Iterations
IterNodes
done5011
34108
2950
1286
0117

prune231.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(* x (* (cbrt (/ (- y z) y)) (cbrt (/ (- y z) y))))
2.4b
(cbrt (/ (- y z) y))
2.4b
(cbrt (/ (- y z) y))
2.4b
(cbrt (/ (- y z) y))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
57×cbrt-prod
51×add-sqr-sqrt
50×*-un-lft-identity
45×times-frac
32×add-cube-cbrt
9×pow1 add-exp-log distribute-lft-out-- difference-of-squares
7×cbrt-div add-cbrt-cube
4×expm1-log1p-u associate-*r/ insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod div-inv
1×frac-times associate-*r* associate-*l/ *-commutative unswap-sqr
Counts
4 → 118
Calls
4 calls:
78.0ms
(* x (* (cbrt (/ (- y z) y)) (cbrt (/ (- y z) y))))
5.0ms
(cbrt (/ (- y z) y))
9.0ms
(cbrt (/ (- y z) y))
7.0ms
(cbrt (/ (- y z) y))

series1.1s

Counts
4 → 12
Calls
4 calls:
225.0ms
(* x (* (cbrt (/ (- y z) y)) (cbrt (/ (- y z) y))))
328.0ms
(cbrt (/ (- y z) y))
265.0ms
(cbrt (/ (- y z) y))
297.0ms
(cbrt (/ (- y z) y))

simplify1.3s

Counts
130 → 130
Iterations
IterNodes
done5000
31357
2517
1252
0131

prune632.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes140.0ms

Accuracy

17.6% (2.5b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 3.1b

bsearch56.0ms

Steps
ItersRangePoint
7
4.765395642155263e-105
4.844052074247226e-103
4.0099369996684946e-103
8
9.834455918198667e-291
1.2235766483250959e-287
1.3817440569525898e-289

simplify4.0ms

Iterations
IterNodes
done20
120
015

end0.0ms

sample710.0ms

Algorithm
intervals
Results
487.0ms9583×body80valid