Details

sample122.0ms

Algorithm

intervals

Results

29.0ms

265×

body

valid

simplify8.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5026
12	3812
11	1306
10	538
9	373
8	319
7	285
6	269
5	223
4	188
3	122
2	63
1	25
0	8

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.3b

localize66.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
18.0b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite191.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
16×	`add-cbrt-cube` `add-exp-log`
12×	`flip3-+` `flip-+`
9×	`pow1`
8×	`add-sqr-sqrt` `frac-times` `associate-/r/`
6×	`swap-sqr` `add-cube-cbrt` `distribute-lft-out`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp` `associate-r` `associate-l` `associate-l/` `associate-r/`
2×	`insert-posit16` `add-log-exp`
1×	`distribute-lft-neg-out` `pow2` `distribute-rgt-in` `clear-num` `associate-/r` `frac-2neg` `distribute-lft-in` `times-frac` `pow-plus` `pow-prod-down` `distribute-frac-neg` `pow-sqr` `-commutative` `pow-prod-up` `div-inv` `associate-/l*` `unswap-sqr`

Counts

2 → 72

Calls

2 calls:

99.0ms	(* (+ t1 u) (+ t1 u))
79.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series234.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(* (+ t1 u) (+ t1 u))
205.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify3.5s

Counts

78 → 78

Iterations

Iter	Nodes
done	5161
2	1931
1	419
0	114

prune743.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize108.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
0.0b	(/ v (+ t1 u))
2.0b	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite243.0ms

Algorithm

rewrite-expression-head

Rules

125×	`*-un-lft-identity`
108×	`times-frac`
81×	`add-sqr-sqrt`
69×	`add-cube-cbrt`
46×	`associate-l`
28×	`distribute-lft-out`
27×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
19×	`add-cbrt-cube` `add-exp-log`
18×	`associate-r`
13×	`associate-/l*`
9×	`neg-mul-1`
8×	`associate-/r*` `associate-/r/`
6×	`cbrt-undiv` `div-exp`
5×	`pow1`
4×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
3×	`insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `distribute-frac-neg`
1×	`distribute-lft-neg-out` `neg-sub0` `frac-times` `div-sub` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

3 → 195

Calls

3 calls:

42.0ms	(/ (- t1) (+ t1 u))
23.0ms	(/ v (+ t1 u))
160.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series404.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(/ (- t1) (+ t1 u))
70.0ms	(/ v (+ t1 u))
243.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify5.0s

Counts

204 → 204

Iterations

Iter	Nodes
done	5000
2	2411
1	647
0	216

prune2.0s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize121.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt v)
0.5b	(cbrt v)
0.5b	(* (cbrt v) (cbrt v))
6.4b	(/ (- t1) (/ (+ t1 u) (* (cbrt v) (cbrt v))))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

124×	`times-frac`
85×	`*-un-lft-identity`
71×	`add-sqr-sqrt`
63×	`add-cube-cbrt`
27×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
22×	`cbrt-prod`
15×	`add-exp-log`
12×	`div-inv`
11×	`pow1` `add-cbrt-cube` `distribute-lft-out`
10×	`associate-/l*`
9×	`neg-mul-1`
8×	`associate-/r*` `pow1/3`
6×	`swap-sqr` `associate-r` `associate-l`
5×	`cbrt-undiv` `div-exp`
4×	`insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `prod-exp` `pow-sqr` `pow-prod-up` `cbrt-unprod`
1×	`pow2` `neg-sub0` `clear-num` `frac-2neg` `pow-plus` `div-sub` `distribute-frac-neg` `associate-/r/` `*-commutative`

Counts

4 → 183

Calls

4 calls:

2.0ms	(cbrt v)
2.0ms	(cbrt v)
23.0ms	(* (cbrt v) (cbrt v))
76.0ms	(/ (- t1) (/ (+ t1 u) (* (cbrt v) (cbrt v))))

series1.5s

Counts

4 → 12

Calls

4 calls:

328.0ms	(cbrt v)
315.0ms	(cbrt v)
382.0ms	(* (cbrt v) (cbrt v))
445.0ms	(/ (- t1) (/ (+ t1 u) (* (cbrt v) (cbrt v))))

simplify4.5s

Counts

195 → 195

Iterations

Iter	Nodes
done	5001
2	2273
1	677
0	248

prune2.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize160.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt v)
0.5b	(cbrt v)
0.8b	(* (cbrt v) (/ (- t1) (/ (+ t1 u) (cbrt v))))
4.1b	(/ (- t1) (/ (+ t1 u) (cbrt v)))

rewrite521.0ms

Algorithm

rewrite-expression-head

Rules

1074×	`times-frac`
747×	`*-un-lft-identity`
521×	`add-sqr-sqrt`
495×	`add-cube-cbrt`
285×	`associate-r`
267×	`cbrt-prod`
171×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
126×	`distribute-lft-out`
57×	`neg-mul-1`
28×	`associate-/r*`
23×	`div-inv`
18×	`add-exp-log`
13×	`add-cbrt-cube`
10×	`associate-/l*`
8×	`unswap-sqr`
6×	`pow1` `cbrt-undiv` `div-exp` `associate-l`
4×	`insert-posit16` `add-log-exp`
3×	`prod-exp` `cbrt-unprod`
2×	`pow1/3` `distribute-frac-neg` `associate-/r/`
1×	`neg-sub0` `clear-num` `frac-2neg` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `distribute-rgt-neg-out`

Counts

4 → 677

Calls

4 calls:

5.0ms	(cbrt v)
5.0ms	(cbrt v)
251.0ms	(* (cbrt v) (/ (- t1) (/ (+ t1 u) (cbrt v))))
57.0ms	(/ (- t1) (/ (+ t1 u) (cbrt v)))

series1.3s

Counts

4 → 12

Calls

4 calls:

331.0ms	(cbrt v)
288.0ms	(cbrt v)
395.0ms	(* (cbrt v) (/ (- t1) (/ (+ t1 u) (cbrt v))))
331.0ms	(/ (- t1) (/ (+ t1 u) (cbrt v)))

simplify5.4s

Counts

689 → 689

Iterations

Iter	Nodes
done	5002
1	2290
0	667

prune5.9s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes765.0ms

Accuracy

0% (0.9b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify48.0ms

Iterations

Iter	Nodes
done	41
5	41
4	40
3	31
2	20
1	16
0	11

end0.0ms

sample1.1s

Algorithm

intervals

Results

712.0ms

8278×

body

valid