Details

sample147.0ms

Algorithm

intervals

Results

39.0ms	293×	body	80	valid
29.0ms	306×	body	80	nan

simplify5.2s

Counts

1 → 1

Iterations

Useful iterations: 5 (3.7s)

Iter	Nodes	Cost
0	15	16
1	30	16
2	88	15
3	280	15
4	1040	15
5	4213	14
done	5000	14

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1 (log t))
0.0b	(fma b (- a 0.5) (fma (- 1 (log t)) z y))
0.0b	(+ (fma b (- a 0.5) (fma (- 1 (log t)) z y)) x)
0.1b	(fma (- 1 (log t)) z y)

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
14×	`add-cube-cbrt`
12×	`prod-diff`
8×	`pow1`
7×	`add-log-exp`
4×	`add-exp-log` `expm1-log1p-u` `log-pow` `add-cbrt-cube` `log1p-expm1-u`
3×	`log-prod` `fma-def` `fma-neg` `fma-udef` `associate--r+`
2×	`distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `sub-neg` `associate-+l+` `flip3--` `flip3-+` `diff-log` `sum-log` `flip--` `flip-+` `distribute-lft-out`

Counts

4 → 74

Calls

4 calls:

22.0ms	(- 1 (log t))
1.0ms	(fma b (- a 0.5) (fma (- 1 (log t)) z y))
25.0ms	(+ (fma b (- a 0.5) (fma (- 1 (log t)) z y)) x)
1.0ms	(fma (- 1 (log t)) z y)

series1.2s

Counts

4 → 12

Calls

4 calls:

315.0ms	(- 1 (log t))
224.0ms	(fma b (- a 0.5) (fma (- 1 (log t)) z y))
405.0ms	(+ (fma b (- a 0.5) (fma (- 1 (log t)) z y)) x)
221.0ms	(fma (- 1 (log t)) z y)

simplify1.6s

Counts

86 → 86

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	146	1193
1	335	982
2	1113	855
done	5001	806

prune916.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1 (log (sqrt t)))
0.0b	(fma b (- a 0.5) (fma (- (- 1 (log (sqrt t))) (log (sqrt t))) z y))
0.0b	(+ (fma b (- a 0.5) (fma (- (- 1 (log (sqrt t))) (log (sqrt t))) z y)) x)
0.1b	(fma (- (- 1 (log (sqrt t))) (log (sqrt t))) z y)

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
18×	`prod-diff`
17×	`add-cube-cbrt`
11×	`pow1`
10×	`log-pow`
7×	`add-log-exp`
6×	`log-prod` `associate--r+`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`fma-def` `sqrt-pow1` `pow1/2` `fma-neg` `sqrt-prod` `fma-udef`
2×	`distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `sub-neg` `associate-+l+` `flip3--` `flip3-+` `diff-log` `sum-log` `flip--` `flip-+` `distribute-lft-out`

Counts

4 → 83

Calls

4 calls:

38.0ms	(- 1 (log (sqrt t)))
1.0ms	(fma b (- a 0.5) (fma (- (- 1 (log (sqrt t))) (log (sqrt t))) z y))
14.0ms	(+ (fma b (- a 0.5) (fma (- (- 1 (log (sqrt t))) (log (sqrt t))) z y)) x)
1.0ms	(fma (- (- 1 (log (sqrt t))) (log (sqrt t))) z y)

series1.4s

Counts

4 → 12

Calls

4 calls:

162.0ms	(- 1 (log (sqrt t)))
357.0ms	(fma b (- a 0.5) (fma (- (- 1 (log (sqrt t))) (log (sqrt t))) z y))
519.0ms	(+ (fma b (- a 0.5) (fma (- (- 1 (log (sqrt t))) (log (sqrt t))) z y)) x)
360.0ms	(fma (- (- 1 (log (sqrt t))) (log (sqrt t))) z y)

simplify1.9s

Counts

95 → 95

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	184	1751
1	447	1446
2	1478	1159
done	5001	1083

prune1.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

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

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

1.0ms	(fma b (- a 0.5) (- (+ z y) (* (log t) z)))
14.0ms	(+ (fma b (- a 0.5) (- (+ z y) (* (log t) z))) x)
122.0ms	(- (+ z y) (* (log t) z))
19.0ms	(* (log t) z)

series833.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(fma b (- a 0.5) (- (+ z y) (* (log t) z)))
338.0ms	(+ (fma b (- a 0.5) (- (+ z y) (* (log t) z))) x)
137.0ms	(- (+ z y) (* (log t) z))
158.0ms	(* (log t) z)

simplify1.6s

Counts

85 → 85

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	137	1092
1	334	1023
2	1182	948
done	5002	935

prune931.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (fma b (- a 0.5) (fma (cbrt (pow (- 1 (log t)) 3)) z y)) x)
0.1b	(fma (cbrt (pow (- 1 (log t)) 3)) z y)
0.5b	(cbrt (pow (- 1 (log t)) 3))
0.8b	(pow (- 1 (log t)) 3)

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
20×	`cbrt-prod`
14×	`unpow-prod-down` `cube-prod`
11×	`add-cube-cbrt`
9×	`pow1`
8×	`distribute-lft-out--` `difference-of-squares`
6×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube`
4×	`cube-div` `expm1-log1p-u` `log-pow` `log1p-expm1-u`
3×	`pow-unpow` `fma-def`
2×	`cube-mult` `cbrt-div` `flip3--` `unpow3` `flip--` `fma-udef` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `associate-+l+` `pow-pow` `flip3-+` `pow1/3` `pow-exp` `sum-log` `rem-cbrt-cube` `flip-+` `distribute-lft-out` `rem-cube-cbrt`

Counts

4 → 96

Calls

4 calls:

32.0ms	(+ (fma b (- a 0.5) (fma (cbrt (pow (- 1 (log t)) 3)) z y)) x)
1.0ms	(fma (cbrt (pow (- 1 (log t)) 3)) z y)
30.0ms	(cbrt (pow (- 1 (log t)) 3))
28.0ms	(pow (- 1 (log t)) 3)

series1.3s

Counts

4 → 12

Calls

4 calls:

381.0ms	(+ (fma b (- a 0.5) (fma (cbrt (pow (- 1 (log t)) 3)) z y)) x)
236.0ms	(fma (cbrt (pow (- 1 (log t)) 3)) z y)
316.0ms	(cbrt (pow (- 1 (log t)) 3))
383.0ms	(pow (- 1 (log t)) 3)

simplify2.2s

Counts

108 → 108

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	152	1467
1	441	1122
2	2081	1025
done	5001	1022

prune932.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes1.6s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	19
1	19	19
done	19	19

end0.0ms

sample4.9s

Algorithm

intervals

Results

1.9s	9139×	body	80	valid
1.2s	9301×	body	80	nan
1.0ms	2×	body	320	valid