Details

sample111.0ms

Algorithm

intervals

Results

35.0ms	289×	body	80	nan
23.0ms	293×	body	80	valid

simplify3.5s

Counts

1 → 1

Iterations

Useful iterations: 5 (2.4s)

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

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))
0.1b	(fma (- 1 (log t)) z y)

rewrite18.0ms

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:

14.0ms	(- 1 (log t))
0.0ms	(fma b (- a 0.5) (fma (- 1 (log t)) z y))
0.0ms	(fma (- 1 (log t)) z y)

series478.0ms

Counts

3 → 9

Calls

3 calls:

193.0ms	(- 1 (log t))
146.0ms	(fma b (- a 0.5) (fma (- 1 (log t)) z y))
139.0ms	(fma (- 1 (log t)) z y)

simplify1.0s

Counts

65 → 65

Iterations

Useful iterations: done (999.0ms)

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

prune339.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(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)

rewrite64.0ms

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:

0.0ms	(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)

series1.4s

Counts

4 → 12

Calls

4 calls:

313.0ms	(fma (- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t))) z y)
466.0ms	(- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t)))
306.0ms	(cbrt t)
292.0ms	(cbrt t)

simplify2.6s

Counts

96 → 96

Iterations

Useful iterations: done (2.6s)

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

prune560.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma b (- a 0.5) (fma -3 (* (log (* (cbrt (- t)) (cbrt -1))) z) (+ z y)))
0.1b	(fma -3 (* (log (* (cbrt (- t)) (cbrt -1))) z) (+ z y))
0.3b	(* (log (* (cbrt (- t)) (cbrt -1))) z)
0.6b	(cbrt (- t))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
10×	`cbrt-prod`
9×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log` `associate-l` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `pow1/3` `associate-r` `pow-prod-down` `log-pow`
2×	`fma-udef`
1×	`neg-mul-1` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 63

Calls

4 calls:

1.0ms	(fma b (- a 0.5) (fma -3 (* (log (* (cbrt (- t)) (cbrt -1))) z) (+ z y)))
1.0ms	(fma -3 (* (log (* (cbrt (- t)) (cbrt -1))) z) (+ z y))
45.0ms	(* (log (* (cbrt (- t)) (cbrt -1))) z)
3.0ms	(cbrt (- t))

series1.4s

Counts

4 → 12

Calls

4 calls:

449.0ms	(fma b (- a 0.5) (fma -3 (* (log (* (cbrt (- t)) (cbrt -1))) z) (+ z y)))
397.0ms	(fma -3 (* (log (* (cbrt (- t)) (cbrt -1))) z) (+ z y))
242.0ms	(* (log (* (cbrt (- t)) (cbrt -1))) z)
281.0ms	(cbrt (- t))

simplify539.0ms

Counts

75 → 75

Iterations

Useful iterations: done (535.0ms)

Iter	Nodes	Cost
0	126	998
1	247	972
2	831	855
done	5000	847

prune597.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (- (- 1 (* 2 (log (cbrt t)))) (log (pow (/ 1 t) -1/3))) z y)
0.3b	(- (- 1 (* 2 (log (cbrt t)))) (log (pow (/ 1 t) -1/3)))
0.6b	(cbrt t)
5.0b	(pow (/ 1 t) -1/3)

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`add-cube-cbrt`
26×	`unpow-prod-down`
18×	`times-frac`
17×	`log-prod` `associate--r+`
15×	`prod-diff`
9×	`add-exp-log`
7×	`add-log-exp`
6×	`pow1`
5×	`associate--l+`
4×	`expm1-log1p-u` `pow-exp` `add-cbrt-cube` `log1p-expm1-u`
3×	`cbrt-prod` `pow-unpow` `pow-pow` `fma-neg` `diff-log` `log-pow`
2×	`sub-neg` `div-exp` `div-inv` `sqr-pow`
1×	`associate--l-` `pow-to-exp` `rec-exp` `flip3--` `pow-flip` `pow1/3` `1-exp` `flip--` `fma-udef` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 112

Calls

4 calls:

0.0ms	(fma (- (- 1 (* 2 (log (cbrt t)))) (log (pow (/ 1 t) -1/3))) z y)
59.0ms	(- (- 1 (* 2 (log (cbrt t)))) (log (pow (/ 1 t) -1/3)))
1.0ms	(cbrt t)
17.0ms	(pow (/ 1 t) -1/3)

series1.9s

Counts

4 → 12

Calls

4 calls:

426.0ms	(fma (- (- 1 (* 2 (log (cbrt t)))) (log (pow (/ 1 t) -1/3))) z y)
870.0ms	(- (- 1 (* 2 (log (cbrt t)))) (log (pow (/ 1 t) -1/3)))
283.0ms	(cbrt t)
320.0ms	(pow (/ 1 t) -1/3)

simplify2.1s

Counts

124 → 124

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	248	2211
1	672	1756
2	2337	1307
done	5001	1015

prune785.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes500.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	24
1	26	24
done	26	24

end0.0ms

sample3.8s

Algorithm

intervals

Results

972.0ms	9123×	body	80	valid
844.0ms	8995×	body	80	nan
1.0ms	2×	body	1280	valid
1.0ms	2×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid