Details

sample111.0ms

Algorithm

intervals

Results

30.0ms	297×	body	80	valid
21.0ms	261×	body	80	nan

simplify3.1s

Counts

1 → 1

Iterations

Useful iterations: 5 (2.2s)

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

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1 (log t))
0.0b	(fma b (- a 0.5) (fma (- 1 (log t)) z y))
0.2b	(fma (- 1 (log t)) z y)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 56

Calls

3 calls:

16.0ms	(- 1 (log t))
1.0ms	(fma b (- a 0.5) (fma (- 1 (log t)) z y))
1.0ms	(fma (- 1 (log t)) z y)

series410.0ms

Counts

3 → 9

Calls

3 calls:

160.0ms	(- 1 (log t))
106.0ms	(fma b (- a 0.5) (fma (- 1 (log t)) z y))
144.0ms	(fma (- 1 (log t)) z y)

simplify759.0ms

Counts

65 → 65

Iterations

Useful iterations: done (757.0ms)

Iter	Nodes	Cost
0	122	843
1	269	663
2	914	540
done	5000	502

prune257.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma b (- a 0.5) (- (+ z y) (* (log t) z)))
0.1b	(- (+ z y) (* (log t) z))
0.3b	(* (log t) z)

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

1.0ms	(fma b (- a 0.5) (- (+ z y) (* (log t) z)))
67.0ms	(- (+ z y) (* (log t) z))
8.0ms	(* (log t) z)

series239.0ms

Counts

3 → 9

Calls

3 calls:

96.0ms	(fma b (- a 0.5) (- (+ z y) (* (log t) z)))
55.0ms	(- (+ z y) (* (log t) z))
88.0ms	(* (log t) z)

simplify860.0ms

Counts

64 → 64

Iterations

Useful iterations: done (857.0ms)

Iter	Nodes	Cost
0	113	720
1	266	684
2	963	613
done	5000	598

prune298.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma (/ (- 1 (pow (log t) 3)) (fma (log t) (+ (log t) 1) 1)) z y)
0.3b	(/ (- 1 (pow (log t) 3)) (fma (log t) (+ (log t) 1) 1))
0.6b	(fma (log t) (+ (log t) 1) 1)
0.8b	(pow (log t) 3)

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
48×	`*-un-lft-identity`
36×	`times-frac`
32×	`difference-of-squares`
24×	`add-cube-cbrt`
12×	`unpow-prod-down` `cube-prod` `associate-/l*`
9×	`sqr-pow`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp`
3×	`pow-unpow` `associate-/r*`
2×	`log-pow` `fma-udef` `associate-/l/`
1×	`cbrt-undiv` `cube-mult` `pow-to-exp` `flip3--` `pow-pow` `frac-2neg` `unpow3` `div-sub` `div-exp` `pow-exp` `clear-num` `flip--` `div-inv` `rem-cube-cbrt`

Counts

4 → 115

Calls

4 calls:

1.0ms	(fma (/ (- 1 (pow (log t) 3)) (fma (log t) (+ (log t) 1) 1)) z y)
90.0ms	(/ (- 1 (pow (log t) 3)) (fma (log t) (+ (log t) 1) 1))
0.0ms	(fma (log t) (+ (log t) 1) 1)
3.0ms	(pow (log t) 3)

series2.8s

Counts

4 → 12

Calls

4 calls:

1.5s	(fma (/ (- 1 (pow (log t) 3)) (fma (log t) (+ (log t) 1) 1)) z y)
758.0ms	(/ (- 1 (pow (log t) 3)) (fma (log t) (+ (log t) 1) 1))
320.0ms	(fma (log t) (+ (log t) 1) 1)
238.0ms	(pow (log t) 3)

simplify2.1s

Counts

127 → 127

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	232	2870
1	614	2717
2	2567	2574
done	5000	2539

prune713.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma (- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t))) z y)
0.3b	(- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t)))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

1.0ms	(fma (- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t))) z y)
59.0ms	(- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t)))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.2s

Counts

4 → 12

Calls

4 calls:

244.0ms	(fma (- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t))) z y)
348.0ms	(- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t)))
288.0ms	(cbrt t)
294.0ms	(cbrt t)

simplify2.2s

Counts

96 → 96

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	143	1501
1	330	1322
2	1394	860
done	5000	606

prune489.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes465.0ms

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	14	15
1	17	15
done	17	15

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.2s	9242×	body	80	valid
699.0ms	9304×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid