Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

285×

body

valid

simplify783.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	553
10	553
9	548
8	525
7	463
6	378
5	272
4	170
3	74
2	31
1	15
0	9

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ 16.0 116.0))
0.0b	(* (- x (/ 16.0 116.0)) 3.0)
0.4b	(* (* (- x (/ 16.0 116.0)) 3.0) y)

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
41×	`add-cube-cbrt`
39×	`prod-diff`
29×	`times-frac`
10×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`associate-l`
6×	`associate-r` `associate-*l/`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `difference-of-squares`
3×	`expm1-log1p-u` `flip3--` `fma-neg` `log1p-expm1-u` `div-inv` `flip--`
2×	`*-commutative` `distribute-lft-out--`
1×	`sub-neg` `diff-log` `unswap-sqr`

Counts

3 → 106

Calls

3 calls:

11.0ms	(- x (/ 16.0 116.0))
33.0ms	(* (- x (/ 16.0 116.0)) 3.0)
57.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

series121.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(- x (/ 16.0 116.0))
48.0ms	(* (- x (/ 16.0 116.0)) 3.0)
45.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify2.0s

Counts

115 → 115

Iterations

Iter	Nodes
done	5000
2	2480
1	531
0	217

prune546.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (/ 16.0 116.0))
0.5b	(* (- x (/ 16.0 116.0)) (* 3.0 y))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
39×	`prod-diff`
38×	`add-cube-cbrt`
29×	`times-frac`
7×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`associate-l`
4×	`add-log-exp` `difference-of-squares`
3×	`fma-neg` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
2×	`expm1-log1p-u` `flip3--` `associate-*l/` `log1p-expm1-u` `flip--` `distribute-lft-out--`
1×	`sub-neg` `diff-log` `associate-r` `*-commutative`

Counts

2 → 84

Calls

2 calls:

17.0ms	(- x (/ 16.0 116.0))
54.0ms	(* (- x (/ 16.0 116.0)) (* 3.0 y))

series71.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(- x (/ 16.0 116.0))
46.0ms	(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify1.9s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
2	1957
1	489
0	194

prune406.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize73.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (cbrt 116.0) (cbrt 116.0))
1.0b	(* (cbrt 116.0) (cbrt 116.0))
1.0b	(* (cbrt 116.0) (cbrt 116.0))
61.9b	(fma (/ -1 (* (cbrt 116.0) (cbrt 116.0))) (/ 16.0 (cbrt 116.0)) (/ (/ 16.0 (cbrt 116.0)) (* (cbrt 116.0) (cbrt 116.0))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt`
48×	`cbrt-prod`
28×	`*-un-lft-identity` `add-cube-cbrt`
25×	`pow1`
18×	`pow1/3` `swap-sqr` `associate-r` `associate-l`
12×	`unswap-sqr`
10×	`add-exp-log`
6×	`pow-prod-down` `pow-sqr` `pow-prod-up`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`
1×	`fma-udef`

Counts

4 → 136

Calls

4 calls:

11.0ms	(* (cbrt 116.0) (cbrt 116.0))
15.0ms	(* (cbrt 116.0) (cbrt 116.0))
9.0ms	(* (cbrt 116.0) (cbrt 116.0))
0.0ms	(fma (/ -1 (* (cbrt 116.0) (cbrt 116.0))) (/ 16.0 (cbrt 116.0)) (/ (/ 16.0 (cbrt 116.0)) (* (cbrt 116.0) (cbrt 116.0))))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(* (cbrt 116.0) (cbrt 116.0))
0.0ms	(* (cbrt 116.0) (cbrt 116.0))
0.0ms	(* (cbrt 116.0) (cbrt 116.0))
0.0ms	(fma (/ -1 (* (cbrt 116.0) (cbrt 116.0))) (/ 16.0 (cbrt 116.0)) (/ (/ 16.0 (cbrt 116.0)) (* (cbrt 116.0) (cbrt 116.0))))

simplify3.9s

Counts

140 → 140

Iterations

Iter	Nodes
done	5000
3	4372
2	539
1	130
0	67

prune834.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* (* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0))) (cbrt (* (- x (/ 16.0 116.0)) 3.0))) y)
0.5b	(cbrt (* (- x (/ 16.0 116.0)) 3.0))
0.5b	(cbrt (* (- x (/ 16.0 116.0)) 3.0))
0.5b	(cbrt (* (- x (/ 16.0 116.0)) 3.0))

rewrite274.0ms

Algorithm

rewrite-expression-head

Rules

100×	`associate-*l/`
60×	`cbrt-div`
30×	`flip3--` `flip--`
28×	`frac-times`
13×	`pow1` `add-exp-log`
9×	`add-cbrt-cube`
8×	`associate-*r/`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r`
1×	`associate-l` `*-commutative`

Counts

4 → 88

Calls

4 calls:

223.0ms	(* (* (* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0))) (cbrt (* (- x (/ 16.0 116.0)) 3.0))) y)
10.0ms	(cbrt (* (- x (/ 16.0 116.0)) 3.0))
10.0ms	(cbrt (* (- x (/ 16.0 116.0)) 3.0))
25.0ms	(cbrt (* (- x (/ 16.0 116.0)) 3.0))

series752.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(* (* (* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0))) (cbrt (* (- x (/ 16.0 116.0)) 3.0))) y)
235.0ms	(cbrt (* (- x (/ 16.0 116.0)) 3.0))
205.0ms	(cbrt (* (- x (/ 16.0 116.0)) 3.0))
189.0ms	(cbrt (* (- x (/ 16.0 116.0)) 3.0))

simplify1.7s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	1890
1	502
0	196

prune467.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes336.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	9

end0.0ms

sample755.0ms

Algorithm

intervals

Results

453.0ms

9180×

body

valid