Details

sample74.0ms

Algorithm

intervals

Results

24.0ms	50×	body	1280	valid
15.0ms	128×	body	80	valid
14.0ms	43×	body	640	valid
5.0ms	23×	body	320	valid
2.0ms	12×	body	160	valid

simplify3.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x (cos y)) (* z (sin y)))
0.1b	(* z (sin y))
0.1b	(* x (cos y))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`associate-r` `associate-l`
5×	`add-log-exp`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 48

Calls

3 calls:

27.0ms	(- (* x (cos y)) (* z (sin y)))
9.0ms	(* z (sin y))
9.0ms	(* x (cos y))

series164.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(- (* x (cos y)) (* z (sin y)))
41.0ms	(* z (sin y))
41.0ms	(* x (cos y))

simplify57.0ms

Counts: 57 → 57

prune150.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

11.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series830.0ms

Counts

4 → 12

Calls

4 calls:

224.0ms	(* (cbrt z) (cbrt z))
199.0ms	(cbrt z)
203.0ms	(cbrt z)
204.0ms	(cbrt z)

simplify88.0ms

Counts: 85 → 85

prune285.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
7.8b	(cbrt (* z (sin y)))
7.8b	(cbrt (* z (sin y)))
7.8b	(cbrt (* z (sin y)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

25.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
4.0ms	(cbrt (* z (sin y)))
4.0ms	(cbrt (* z (sin y)))
5.0ms	(cbrt (* z (sin y)))

series587.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
144.0ms	(cbrt (* z (sin y)))
135.0ms	(cbrt (* z (sin y)))
138.0ms	(cbrt (* z (sin y)))

simplify89.0ms

Counts: 70 → 70

prune254.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
11×	`pow1` `cbrt-prod`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `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 → 61

Calls

4 calls:

18.0ms	(* (cbrt (* (cbrt z) (cbrt z))) (cbrt (* (cbrt z) (cbrt z))))
5.0ms	(cbrt (* (cbrt z) (cbrt z)))
5.0ms	(cbrt (* (cbrt z) (cbrt z)))
5.0ms	(cbrt (* (cbrt z) (cbrt z)))

series1.3s

Counts

4 → 12

Calls

4 calls:

357.0ms	(* (cbrt (* (cbrt z) (cbrt z))) (cbrt (* (cbrt z) (cbrt z))))
331.0ms	(cbrt (* (cbrt z) (cbrt z)))
328.0ms	(cbrt (* (cbrt z) (cbrt z)))
333.0ms	(cbrt (* (cbrt z) (cbrt z)))

simplify77.0ms

Counts: 73 → 73

prune277.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes125.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.8s

Algorithm

intervals

Results

979.0ms	1528×	body	1280	valid
871.0ms	1262×	body	640	valid
381.0ms	4226×	body	80	valid
145.0ms	648×	body	320	valid
95.0ms	336×	body	160	valid