Details

Time bar (total: 13.2s)

sample40.0ms

Algorithm
intervals
Results
18.0ms281×body80valid

simplify228.0ms

Counts
1 → 1
Iterations
IterNodes
done180
11180
10178
9172
8168
7157
6145
5120
489
356
229
114
08

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.6b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
13.6b
(/ (* x (- y z)) (- t z))

rewrite95.0ms

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:
37.0ms
(* x (- y z))
52.0ms
(/ (* x (- y z)) (- t z))

series158.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(* x (- y z))
115.0ms
(/ (* x (- y z)) (- t z))

simplify1.3s

Counts
83 → 83
Iterations
IterNodes
done5001
21622
1398
0157

prune422.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite77.0ms

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:
27.0ms
(/ (- y z) (- t z))
45.0ms
(* x (/ (- y z) (- t z)))

series165.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(/ (- y z) (- t z))
86.0ms
(* x (/ (- y z) (- t z)))

simplify1.1s

Counts
112 → 112
Iterations
IterNodes
done5000
21531
1381
0142

prune613.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
2.6b
(/ x (/ (- t z) (- y z)))

rewrite71.0ms

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:
25.0ms
(/ (- t z) (- y z))
36.0ms
(/ x (/ (- t z) (- y z)))

series277.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(/ (- t z) (- y z))
211.0ms
(/ x (/ (- t z) (- y z)))

simplify2.2s

Counts
204 → 204
Iterations
IterNodes
done5001
23851
1743
0274

prune960.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.9b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ (- y z) (- t z))))
1.8b
(* (cbrt x) (/ (- y z) (- t z)))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
39×*-un-lft-identity
32×associate-*r*
30×add-exp-log
27×times-frac
19×add-cube-cbrt
18×pow1 add-cbrt-cube
15×prod-exp cbrt-unprod
11×cbrt-prod
10×distribute-lft-out-- difference-of-squares
9×pow-prod-down
7×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×cbrt-undiv div-exp associate-*r/
2×pow1/3 associate-/r/ *-commutative
1×flip3-- div-inv flip--
Counts
4 → 112
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
74.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ (- y z) (- t z))))
37.0ms
(* (cbrt x) (/ (- y z) (- t z)))

series918.0ms

Counts
4 → 12
Calls
4 calls:
224.0ms
(cbrt x)
288.0ms
(cbrt x)
127.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ (- y z) (- t z))))
278.0ms
(* (cbrt x) (/ (- y z) (- t z)))

simplify2.2s

Counts
124 → 124
Iterations
IterNodes
done5000
22710
1427
0155

prune594.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes514.0ms

Accuracy

-11% (2.5b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 2.3b

bsearch95.0ms

Steps
ItersRangePoint
11
2.8080800529117657e-260
6.383344988468356e-236
5.862038722875421e-249
7
-1.8236516507406991e+40
-5.2611647822735625e+38
-8.21599116430926e+38

simplify5.0ms

Iterations
IterNodes
done21
121
016

end0.0ms

sample949.0ms

Algorithm
intervals
Results
507.0ms8745×body80valid