Details

Time bar (total: 18.9s)

sample46.0ms

Algorithm
intervals
Results
27.0ms289×body80valid

simplify4.9s

Counts
1 → 1
Iterations
IterNodes
done5000
214813
204487
194229
183906
173648
163322
153006
142545
131903
121348
11863
10583
9411
8337
7254
6203
5147
496
353
231
118
010

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- z a))
3.4b
(fma (- z t) (/ y (- z a)) x)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/r*
4×add-cbrt-cube add-exp-log distribute-lft-out-- difference-of-squares
3×associate-/l*
2×expm1-log1p-u pow1 associate-/r/ insert-posit16 log1p-expm1-u add-log-exp
1×cbrt-undiv clear-num frac-2neg flip3-- div-exp fma-udef div-inv flip--
Counts
2 → 51
Calls
2 calls:
16.0ms
(/ y (- z a))
1.0ms
(fma (- z t) (/ y (- z a)) x)

series154.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(/ y (- z a))
93.0ms
(fma (- z t) (/ y (- z a)) x)

simplify1.4s

Counts
57 → 57
Iterations
IterNodes
done5001
31405
2462
1179
094

prune401.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- z a))
11.0b
(* (- z t) (/ y (- z a)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*r*
9×add-cbrt-cube add-exp-log
8×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-*l*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×expm1-log1p-u frac-times cbrt-undiv div-exp associate-*l/ prod-exp cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp unswap-sqr
1×clear-num frac-2neg pow-prod-down associate-*r/ *-commutative
Counts
2 → 89
Calls
2 calls:
9.0ms
(/ y (- z a))
45.0ms
(* (- z t) (/ y (- z a)))

series153.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(/ y (- z a))
92.0ms
(* (- z t) (/ y (- z a)))

simplify1.5s

Counts
95 → 95
Iterations
IterNodes
done5000
21225
1331
0136

prune541.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.2b
(* y (/ 1 (- z a)))
11.0b
(* (- z t) (* y (/ 1 (- z a))))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
26×add-exp-log
22×*-un-lft-identity associate-*r*
17×times-frac
16×add-cbrt-cube
13×prod-exp add-cube-cbrt
9×pow1
8×associate-*l*
7×cbrt-unprod
6×associate-*r/
4×frac-times flip3-- div-exp pow-prod-down un-div-inv flip-- distribute-lft-out-- difference-of-squares
3×unswap-sqr
2×expm1-log1p-u cbrt-undiv rec-exp 1-exp associate-*l/ associate-/r/ *-commutative insert-posit16 log1p-expm1-u add-log-exp
1×div-inv
Counts
2 → 82
Calls
2 calls:
30.0ms
(* y (/ 1 (- z a)))
72.0ms
(* (- z t) (* y (/ 1 (- z a))))

series131.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(* y (/ 1 (- z a)))
89.0ms
(* (- z t) (* y (/ 1 (- z a))))

simplify2.6s

Counts
88 → 88
Iterations
IterNodes
done5004
33753
21129
1369
0146

prune420.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ 1 (- z a)))
0.6b
(cbrt (/ 1 (- z a)))
0.6b
(cbrt (/ 1 (- z a)))
11.0b
(* (- z t) (* (* y (* (cbrt (/ 1 (- z a))) (cbrt (/ 1 (- z a))))) (cbrt (/ 1 (- z a)))))

rewrite628.0ms

Algorithm
rewrite-expression-head
Rules
63×cbrt-prod
52×add-sqr-sqrt *-un-lft-identity
45×times-frac
39×cbrt-div
34×associate-*r/
32×add-cube-cbrt
29×frac-times
18×pow1 add-exp-log
17×associate-*l/
13×add-cbrt-cube
11×flip3-- flip--
10×pow-prod-down prod-exp cbrt-unprod distribute-lft-out-- difference-of-squares
6×associate-/r/
5×associate-*l*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3 div-inv
1×associate-*r* *-commutative
Counts
4 → 151
Calls
4 calls:
6.0ms
(cbrt (/ 1 (- z a)))
8.0ms
(cbrt (/ 1 (- z a)))
8.0ms
(cbrt (/ 1 (- z a)))
604.0ms
(* (- z t) (* (* y (* (cbrt (/ 1 (- z a))) (cbrt (/ 1 (- z a))))) (cbrt (/ 1 (- z a)))))

series780.0ms

Counts
4 → 12
Calls
4 calls:
212.0ms
(cbrt (/ 1 (- z a)))
219.0ms
(cbrt (/ 1 (- z a)))
236.0ms
(cbrt (/ 1 (- z a)))
113.0ms
(* (- z t) (* (* y (* (cbrt (/ 1 (- z a))) (cbrt (/ 1 (- z a))))) (cbrt (/ 1 (- z a)))))

simplify2.1s

Counts
163 → 163
Iterations
IterNodes
done5000
21635
1556
0231

prune915.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes367.0ms

Accuracy

21.1% (3.5b remaining)

Error of 3.5b against oracle of 0.0b and baseline of 4.5b

bsearch114.0ms

Steps
ItersRangePoint
8
-8.657046825210602e-280
-2.5882603415753343e-282
-8.584217131842657e-280
8
-1.5414358605242827e-75
-2.4376678694909365e-79
-2.4708440122252604e-79

simplify5.0ms

Iterations
IterNodes
done26
126
019

end0.0ms

sample1.4s

Algorithm
intervals
Results
922.0ms8699×body80valid