Details

sample77.0ms

Algorithm

intervals

Results

19.0ms	56×	body	640	valid
19.0ms	31×	body	1280	valid
10.0ms	159×	body	80	valid
5.0ms	25×	body	320	valid
4.0ms	105×	body	80	nan
2.0ms	17×	body	160	valid

simplify1.2s

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.7b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x y))
0.1b	(* x (log (/ x (+ x y))))
8.8b	(log (/ x (+ x y)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
54×	`log-prod`
48×	`times-frac`
40×	`add-sqr-sqrt`
38×	`add-cube-cbrt`
18×	`distribute-rgt-in` `distribute-lft-in`
13×	`distribute-lft-out`
10×	`add-exp-log`
8×	`associate-/r/`
7×	`pow1` `add-cbrt-cube`
4×	`flip3-+` `associate-r` `associate-/r*` `flip-+` `div-inv`
3×	`associate-l` `associate-/l*` `add-log-exp`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `log-div` `frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 117

Calls

3 calls:

15.0ms	(/ x (+ x y))
47.0ms	(* x (log (/ x (+ x y))))
7.0ms	(log (/ x (+ x y)))

series221.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(/ x (+ x y))
88.0ms	(* x (log (/ x (+ x y))))
83.0ms	(log (/ x (+ x y)))

simplify1.7s

Counts: 126 → 126

prune409.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.1b

localize36.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt x)
0.7b	(cbrt x)
3.3b	(log (/ (cbrt x) (cbrt (+ x y))))
3.3b	(log (/ (cbrt x) (cbrt (+ x y))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

96×	`cbrt-prod` `log-prod`
84×	`*-un-lft-identity` `times-frac`
60×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`distribute-lft-out`
10×	`add-exp-log`
6×	`pow1`
4×	`cbrt-div` `rem-log-exp` `associate-/r/` `add-cbrt-cube` `add-log-exp`
2×	`log-div` `flip3-+` `pow1/3` `div-exp` `log-pow` `flip-+` `div-inv`

Counts

4 → 140

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
9.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
9.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

series867.0ms

Counts

4 → 12

Calls

4 calls:

294.0ms	(cbrt x)
317.0ms	(cbrt x)
111.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
144.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

simplify973.0ms

Counts: 152 → 152

prune762.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.4b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
33.2b	(log (* (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y)))))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-exp-log`
20×	`prod-exp`
15×	`div-exp` `rem-log-exp`
13×	`*-un-lft-identity`
12×	`cbrt-prod`
7×	`pow1` `add-sqr-sqrt` `add-cube-cbrt`
6×	`cbrt-div`
4×	`rec-exp` `1-exp` `add-cbrt-cube` `add-log-exp`
3×	`log-div` `flip3-+` `pow1/3` `flip-+` `distribute-lft-out`
2×	`log-pow`
1×	`frac-times` `log-prod` `associate-r/` `pow-prod-down` `associate-l/`

Counts

4 → 70

Calls

4 calls:

8.0ms	(cbrt (+ x y))
7.0ms	(cbrt (+ x y))
8.0ms	(cbrt (+ x y))
124.0ms	(log (* (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y)))))

series746.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(cbrt (+ x y))
207.0ms	(cbrt (+ x y))
198.0ms	(cbrt (+ x y))
138.0ms	(log (* (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y)))))

simplify823.0ms

Counts: 82 → 82

prune407.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.4b

localize31.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt x)
0.7b	(cbrt x)
0.7b	(cbrt x)
33.0b	(log (/ (* (cbrt x) (cbrt x)) (/ (+ x y) (cbrt x))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

52×	`times-frac`
35×	`*-un-lft-identity`
33×	`log-prod`
23×	`add-sqr-sqrt` `add-cube-cbrt`
21×	`cbrt-prod`
17×	`add-exp-log`
6×	`div-exp` `distribute-lft-out`
5×	`pow1` `rem-log-exp`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow1/3`
2×	`prod-exp` `div-inv`
1×	`log-div` `associate-/r/` `log-pow`

Counts

4 → 80

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
14.0ms	(log (/ (* (cbrt x) (cbrt x)) (/ (+ x y) (cbrt x))))

series902.0ms

Counts

4 → 12

Calls

4 calls:

252.0ms	(cbrt x)
241.0ms	(cbrt x)
332.0ms	(cbrt x)
77.0ms	(log (/ (* (cbrt x) (cbrt x)) (/ (+ x y) (cbrt x))))

simplify1.1s

Counts: 92 → 92

prune324.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.4b

regimes98.0ms

Accuracy

11.3% (4.6b remaining)

Error of 5.3b against oracle of 0.7b and baseline of 5.9b

bsearch167.0ms

Steps

Iters	Range		Point
9	1.074650734144553e+155	1.0712544389698301e+160	1.320595172649294e+157
8	9.369667665950914e+39	1.596197924711965e+43	6.365030767953472e+40

simplify621.0ms

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.1s	1509×	body	1280	valid
904.0ms	4864×	body	80	valid
618.0ms	1410×	body	640	valid
336.0ms	851×	body	320	valid
206.0ms	2926×	body	80	nan
76.0ms	440×	body	160	valid