Details

Time bar (total: 11.6s)

sample48.0ms

Algorithm
intervals
Results
18.0ms326×body80valid

simplify3.8s

Counts
1 → 1
Iterations
IterNodes
done5000
104378
9962
8547
7493
6413
5291
4171
373
232
115
08

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y x) 6.0)
0.1b
(fma z (* (- y x) 6.0) x)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*l*
4×pow1 add-cbrt-cube add-exp-log add-cube-cbrt
3×associate-*r*
2×expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
1×flip3-- pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef flip-- distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 34
Calls
2 calls:
20.0ms
(* (- y x) 6.0)
0.0ms
(fma z (* (- y x) 6.0) x)

series75.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* (- y x) 6.0)
41.0ms
(fma z (* (- y x) 6.0) x)

simplify652.0ms

Counts
40 → 40
Iterations
IterNodes
done5000
2535
1149
068

prune186.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y x))
0.2b
(fma 6.0 (* z (- y x)) x)

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
18×*-un-lft-identity prod-diff
16×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
5×associate-*r*
4×pow1 add-cbrt-cube add-exp-log
3×associate-*l*
2×expm1-log1p-u sub-neg associate-*r/ log1p-expm1-u add-log-exp
1×flip3-- pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef flip-- distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 56
Calls
2 calls:
46.0ms
(* z (- y x))
1.0ms
(fma 6.0 (* z (- y x)) x)

series124.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(* z (- y x))
66.0ms
(fma 6.0 (* z (- y x)) x)

simplify595.0ms

Counts
62 → 62
Iterations
IterNodes
done5001
2941
1265
0118

prune455.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- y x)) (cbrt (- y x)))
0.5b
(cbrt (- y x))
0.5b
(cbrt (- y x))
0.5b
(cbrt (- y x))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 109
Calls
4 calls:
30.0ms
(* (cbrt (- y x)) (cbrt (- y x)))
3.0ms
(cbrt (- y x))
3.0ms
(cbrt (- y x))
7.0ms
(cbrt (- y x))

series689.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(* (cbrt (- y x)) (cbrt (- y x)))
168.0ms
(cbrt (- y x))
174.0ms
(cbrt (- y x))
215.0ms
(cbrt (- y x))

simplify746.0ms

Counts
121 → 121
Iterations
IterNodes
done5001
21027
1295
0135

prune625.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
9.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series903.0ms

Counts
4 → 12
Calls
4 calls:
242.0ms
(* (cbrt z) (cbrt z))
202.0ms
(cbrt z)
232.0ms
(cbrt z)
227.0ms
(cbrt z)

simplify957.0ms

Counts
93 → 93
Iterations
IterNodes
done5001
2725
1142
065

prune485.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes210.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample809.0ms

Algorithm
intervals
Results
372.0ms10095×body80valid