Details

sample181.0ms

Algorithm

intervals

Results

52.0ms	299×	body	80	nan
32.0ms	294×	body	80	valid

simplify17.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	2204
4	811
3	265
2	88
1	30
0	15

prune39.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (- 1 (log t)) z (fma (- a 0.5) b (+ x y)))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (- 1 (log t)) z (fma (- a 0.5) b (+ x y)))

series1.0s

Counts

1 → 3

Calls

1 calls:

987.0ms

(fma (- 1 (log t)) z (fma (- a 0.5) b (+ x y)))

simplify11.5s

Counts

13 → 13

Iterations

Iter	Nodes
done	5002
4	2981
3	447
2	126
1	61
0	32

prune860.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize103.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- z (* z (log t))) (fma (- a 0.5) b (+ x y)))
0.2b	(- z (* z (log t)))
0.2b	(* z (log t))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 78

Calls

3 calls:

61.0ms	(+ (- z (* z (log t))) (fma (- a 0.5) b (+ x y)))
35.0ms	(- z (* z (log t)))
26.0ms	(* z (log t))

series1.6s

Counts

3 → 9

Calls

3 calls:

1.0s	(+ (- z (* z (log t))) (fma (- a 0.5) b (+ x y)))
144.0ms	(- z (* z (log t)))
458.0ms	(* z (log t))

simplify7.4s

Counts

87 → 87

Iterations

Iter	Nodes
done	5000
2	1068
1	331
0	144

prune2.7s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ x y) (* z (log t)))
0.1b	(+ z (fma b (- a 0.5) (- (+ x y) (* z (log t)))))
0.2b	(* z (log t))

rewrite306.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 75

Calls

3 calls:

266.0ms	(- (+ x y) (* z (log t)))
13.0ms	(+ z (fma b (- a 0.5) (- (+ x y) (* z (log t)))))
22.0ms	(* z (log t))

series1.2s

Counts

3 → 9

Calls

3 calls:

130.0ms	(- (+ x y) (* z (log t)))
817.0ms	(+ z (fma b (- a 0.5) (- (+ x y) (* z (log t)))))
200.0ms	(* z (log t))

simplify7.9s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	1096
1	352
0	148

prune2.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize173.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (+ (* z (log (cbrt t))) (* z (log (cbrt t)))) (* z (log (cbrt t))))
0.5b	(cbrt t)
0.5b	(cbrt t)
0.5b	(cbrt t)

rewrite234.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `log-prod` `*-un-lft-identity`
9×	`add-log-exp`
6×	`distribute-rgt-in` `fma-def` `distribute-lft-in`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`pow1/3` `sum-log` `distribute-lft-out`
2×	`count-2`
1×	`+-commutative` `associate-+l+` `distribute-rgt-out` `distribute-lft1-in` `flip3-+` `flip-+`

Counts

4 → 74

Calls

4 calls:

216.0ms	(+ (+ (* z (log (cbrt t))) (* z (log (cbrt t)))) (* z (log (cbrt t))))
2.0ms	(cbrt t)
3.0ms	(cbrt t)
8.0ms	(cbrt t)

series2.2s

Counts

4 → 12

Calls

4 calls:

307.0ms	(+ (+ (* z (log (cbrt t))) (* z (log (cbrt t)))) (* z (log (cbrt t))))
532.0ms	(cbrt t)
715.0ms	(cbrt t)
646.0ms	(cbrt t)

simplify12.3s

Counts

86 → 86

Iterations

Iter	Nodes
done	5000
3	4001
2	900
1	247
0	98

prune2.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes2.8s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	17
1	17
0	14

end0.0ms

sample6.1s

Algorithm

intervals

Results

2.6s	9162×	body	80	valid
2.0s	9065×	body	80	nan
8.0ms	2×	body	1280	valid
1.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid