Details

sample77.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
15.0ms	283×	body	80	nan

simplify8.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	15	8
2	29	8
3	51	8
4	96	8
5	213	8
6	474	8
7	1302	8
done	5000	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x (log y)) z)
0.3b	(* x (log y))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
5×	`pow1`
4×	`add-exp-log` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l` `prod-diff`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

2 → 51

Calls

2 calls:

19.0ms	(- (* x (log y)) z)
19.0ms	(* x (log y))

series191.0ms

Counts

2 → 6

Calls

2 calls:

102.0ms	(- (* x (log y)) z)
89.0ms	(* x (log y))

simplify3.8s

Counts

57 → 57

Iterations

Useful iterations: done (3.8s)

Iter	Nodes	Cost
0	111	494
1	253	444
2	764	401
3	4085	382
done	5000	381

prune344.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite27.0ms

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×	`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:

20.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(cbrt y)

series1.5s

Counts

4 → 12

Calls

4 calls:

444.0ms	(* (cbrt y) (cbrt y))
374.0ms	(cbrt y)
381.0ms	(cbrt y)
350.0ms	(cbrt y)

simplify1.6s

Counts

93 → 93

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	65	554
1	143	443
2	719	423
done	5000	409

prune764.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize81.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
5.0b	(pow (/ 1 y) -1/3)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
22×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
13×	`pow1` `unpow-prod-down`
11×	`add-exp-log`
9×	`times-frac`
8×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `pow-exp` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-unpow` `pow-pow`
2×	`div-exp` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `rec-exp` `pow-flip` `pow-plus` `1-exp` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `inv-pow` `sqr-pow`

Counts

4 → 102

Calls

4 calls:

24.0ms	(* (cbrt y) (cbrt y))
2.0ms	(cbrt y)
2.0ms	(cbrt y)
14.0ms	(pow (/ 1 y) -1/3)

series1.5s

Counts

4 → 12

Calls

4 calls:

402.0ms	(* (cbrt y) (cbrt y))
387.0ms	(cbrt y)
373.0ms	(cbrt y)
368.0ms	(pow (/ 1 y) -1/3)

simplify1.9s

Counts

114 → 114

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	141	824
1	381	652
2	1574	624
done	5004	612

prune955.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize116.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
3.6b	(pow (/ 1 (cbrt y)) -1/3)
4.5b	(pow (/ 1 (pow y 2/3)) -1/3)
6.0b	(pow y 2/3)

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

59×	`unpow-prod-down`
39×	`times-frac`
36×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
20×	`add-exp-log`
18×	`pow-exp`
12×	`cbrt-prod`
9×	`pow-unpow`
8×	`pow1` `pow-pow` `div-exp`
6×	`pow-to-exp` `sqr-pow`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-flip`
2×	`pow1/3` `div-inv` `inv-pow`

Counts

4 → 128

Calls

4 calls:

11.0ms	(cbrt y)
19.0ms	(pow (/ 1 (cbrt y)) -1/3)
23.0ms	(pow (/ 1 (pow y 2/3)) -1/3)
5.0ms	(pow y 2/3)

series2.0s

Counts

4 → 12

Calls

4 calls:

354.0ms	(cbrt y)
648.0ms	(pow (/ 1 (cbrt y)) -1/3)
598.0ms	(pow (/ 1 (pow y 2/3)) -1/3)
370.0ms	(pow y 2/3)

simplify1.8s

Counts

140 → 140

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	264	1458
1	835	1178
2	2803	1089
done	5002	1081

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes388.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
done	8	8

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.2s	8036×	body	80	valid
488.0ms	7984×	body	80	nan
1.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid