Details

sample158.0ms

Algorithm

intervals

Results

71.0ms	849×	body	80	nan
15.0ms	200×	body	80	valid
9.0ms	21×	body	640	valid
7.0ms	6×	body	1280	valid
3.0ms	15×	body	320	valid
2.0ms	15×	body	160	valid

simplify7.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	2850
6	1322
5	620
4	304
3	130
2	57
1	27
0	14

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (- x 1.0) (log y)) t)
0.0b	(fma (log (- 1.0 y)) (- z 1.0) (- (* (- x 1.0) (log y)) t))
0.2b	(* (- x 1.0) (log y))
5.6b	(log (- 1.0 y))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
17×	`log-prod`
16×	`*-un-lft-identity`
12×	`add-cube-cbrt`
8×	`pow1`
7×	`add-exp-log`
6×	`distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube` `associate--l+` `add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u`
3×	`flip3--` `prod-diff` `flip--`
2×	`log-div` `associate-*l/` `log-pow` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `fma-neg` `diff-log` `rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

30.0ms	(- (* (- x 1.0) (log y)) t)
0.0ms	(fma (log (- 1.0 y)) (- z 1.0) (- (* (- x 1.0) (log y)) t))
30.0ms	(* (- x 1.0) (log y))
5.0ms	(log (- 1.0 y))

series494.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(- (* (- x 1.0) (log y)) t)
271.0ms	(fma (log (- 1.0 y)) (- z 1.0) (- (* (- x 1.0) (log y)) t))
66.0ms	(* (- x 1.0) (log y))
74.0ms	(log (- 1.0 y))

simplify2.8s

Counts

95 → 95

Iterations

Iter	Nodes
done	5000
3	4518
2	1336
1	509
0	213

prune551.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (- x 1.0) (log y)) t)
0.0b	(* (* (/ y 1.0) (/ y 1.0)) 1/2)
0.0b	(fma (- (log 1.0) (fma y 1.0 (* (* (/ y 1.0) (/ y 1.0)) 1/2))) (- z 1.0) (- (* (- x 1.0) (log y)) t))
0.2b	(* (- x 1.0) (log y))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-cbrt-cube` `add-exp-log`
17×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`pow1` `log-prod` `add-cube-cbrt`
10×	`prod-exp` `cbrt-unprod`
7×	`associate-r`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `associate-*l/` `associate--l+` `add-log-exp`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `pow-prod-down` `log1p-expm1-u`
3×	`prod-diff`
2×	`flip3--` `*-commutative` `flip--` `unswap-sqr`
1×	`frac-times` `sub-neg` `fma-neg` `diff-log` `associate-*r/` `log-pow` `fma-udef` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 95

Calls

4 calls:

15.0ms	(- (* (- x 1.0) (log y)) t)
37.0ms	(* (* (/ y 1.0) (/ y 1.0)) 1/2)
0.0ms	(fma (- (log 1.0) (fma y 1.0 (* (* (/ y 1.0) (/ y 1.0)) 1/2))) (- z 1.0) (- (* (- x 1.0) (log y)) t))
20.0ms	(* (- x 1.0) (log y))

series366.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(- (* (- x 1.0) (log y)) t)
36.0ms	(* (* (/ y 1.0) (/ y 1.0)) 1/2)
210.0ms	(fma (- (log 1.0) (fma y 1.0 (* (* (/ y 1.0) (/ y 1.0)) 1/2))) (- z 1.0) (- (* (- x 1.0) (log y)) t))
60.0ms	(* (- x 1.0) (log y))

simplify1.6s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	2013
1	567
0	223

prune918.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize61.0ms

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)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

17.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.1s

Counts

4 → 12

Calls

4 calls:

253.0ms	(* (cbrt y) (cbrt y))
295.0ms	(cbrt y)
309.0ms	(cbrt y)
263.0ms	(cbrt y)

simplify3.2s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
4	4322
3	1076
2	382
1	140
0	65

prune761.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize64.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
5.1b	(pow y 1/3)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`cbrt-prod`
16×	`*-un-lft-identity` `add-cube-cbrt`
12×	`pow1`
8×	`pow1/3`
7×	`add-exp-log`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-unpow` `unpow-prod-down`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-pow` `pow-plus` `unpow1/3` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 88

Calls

4 calls:

10.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(pow y 1/3)

series914.0ms

Counts

4 → 12

Calls

4 calls:

285.0ms	(* (cbrt y) (cbrt y))
235.0ms	(cbrt y)
196.0ms	(cbrt y)
197.0ms	(pow y 1/3)

simplify2.6s

Counts

100 → 100

Iterations

Iter	Nodes
done	5003
4	4369
3	1496
2	642
1	251
0	95

prune803.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

regimes535.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	29
1	29
0	25

end0.0ms

sample5.8s

Algorithm

intervals

Results

2.9s	24306×	body	80	nan
782.0ms	5885×	body	80	valid
369.0ms	788×	body	640	valid
257.0ms	690×	body	320	valid
212.0ms	252×	body	1280	valid
77.0ms	418×	body	160	valid