Details

sample92.0ms

Algorithm

intervals

Results

28.0ms	294×	body	80	valid
17.0ms	281×	body	80	nan

simplify3.1s

Counts

1 → 1

Iterations

Useful iterations: 5 (2.0s)

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: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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)
0.0b	(- 1 (log t))
0.1b	(fma (- 1 (log t)) z y)

rewrite32.0ms

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:

1.0ms	(fma b (- a 0.5) (fma (- 1 (log t)) z y))
11.0ms	(+ (fma b (- a 0.5) (fma (- 1 (log t)) z y)) x)
16.0ms	(- 1 (log t))
0.0ms	(fma (- 1 (log t)) z y)

series652.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(fma b (- a 0.5) (fma (- 1 (log t)) z y))
225.0ms	(+ (fma b (- a 0.5) (fma (- 1 (log t)) z y)) x)
190.0ms	(- 1 (log t))
122.0ms	(fma (- 1 (log t)) z y)

simplify981.0ms

Counts

86 → 86

Iterations

Useful iterations: done (978.0ms)

Iter	Nodes	Cost
0	146	1193
1	335	980
2	1104	855
done	5000	806

prune344.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (fma b (- a 0.5) (fma (log (/ E t)) z y)) x)
0.0b	(log (/ E t))
0.1b	(fma (log (/ E t)) z y)
0.4b	(/ E t)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
20×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`times-frac`
13×	`log-prod`
11×	`add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `div-exp` `log1p-expm1-u`
3×	`fma-def` `rem-log-exp` `associate-/r` `associate-/l`
2×	`e-exp-1` `fma-udef` `div-inv`
1×	`cbrt-undiv` `+-commutative` `log-div` `associate-+l+` `frac-2neg` `flip3-+` `clear-num` `sum-log` `log-pow` `flip-+` `distribute-lft-out`

Counts

4 → 85

Calls

4 calls:

10.0ms	(+ (fma b (- a 0.5) (fma (log (/ E t)) z y)) x)
5.0ms	(log (/ E t))
0.0ms	(fma (log (/ E t)) z y)
6.0ms	(/ E t)

series613.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(+ (fma b (- a 0.5) (fma (log (/ E t)) z y)) x)
224.0ms	(log (/ E t))
151.0ms	(fma (log (/ E t)) z y)
34.0ms	(/ E t)

simplify2.0s

Counts

97 → 97

Iterations

Useful iterations: 3 (603.0ms)

Iter	Nodes	Cost
0	147	929
1	311	893
2	791	824
3	4449	806
done	5000	806

prune462.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(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))
0.5b	(fma (log t) (+ (log t) 1) 1)
0.7b	(pow (log t) 3)

rewrite78.0ms

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:

0.0ms	(fma (/ (- 1 (pow (log t) 3)) (fma (log t) (+ (log t) 1) 1)) z y)
69.0ms	(/ (- 1 (pow (log t) 3)) (fma (log t) (+ (log t) 1) 1))
0.0ms	(fma (log t) (+ (log t) 1) 1)
4.0ms	(pow (log t) 3)

series3.0s

Counts

4 → 12

Calls

4 calls:

1.6s	(fma (/ (- 1 (pow (log t) 3)) (fma (log t) (+ (log t) 1) 1)) z y)
700.0ms	(/ (- 1 (pow (log t) 3)) (fma (log t) (+ (log t) 1) 1))
413.0ms	(fma (log t) (+ (log t) 1) 1)
242.0ms	(pow (log t) 3)

simplify2.0s

Counts

127 → 127

Iterations

Useful iterations: done (2.0s)

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

prune780.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (- (* 2 (log (cbrt t)))) (log (/ E (cbrt t))))
0.4b	(/ E (cbrt t))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
39×	`add-sqr-sqrt` `add-cube-cbrt`
36×	`times-frac`
34×	`log-prod`
33×	`cbrt-prod`
22×	`associate-+r+`
12×	`associate-+l+` `distribute-neg-in`
7×	`add-exp-log`
6×	`distribute-rgt-in` `fma-def` `distribute-lft-in` `associate-/r*` `add-log-exp`
5×	`pow1` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-/l*`
2×	`pow1/3` `div-exp` `sum-log` `div-inv` `distribute-lft-out`
1×	`cbrt-undiv` `+-commutative` `neg-sub0` `distribute-lft-neg-in` `associate-+l-` `associate-+r-` `neg-mul-1` `log-div` `e-exp-1` `distribute-rgt-neg-in` `frac-2neg` `flip3-+` `neg-log` `clear-num` `log-pow` `flip-+`

Counts

4 → 126

Calls

4 calls:

32.0ms	(+ (- (* 2 (log (cbrt t)))) (log (/ E (cbrt t))))
8.0ms	(/ E (cbrt t))
2.0ms	(cbrt t)
2.0ms	(cbrt t)

series1.7s

Counts

4 → 12

Calls

4 calls:

740.0ms	(+ (- (* 2 (log (cbrt t)))) (log (/ E (cbrt t))))
336.0ms	(/ E (cbrt t))
282.0ms	(cbrt t)
293.0ms	(cbrt t)

simplify1.2s

Counts

138 → 138

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	197	1382
1	450	1255
2	1746	1113
done	5000	1060

prune946.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes491.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	14
1	17	14
2	19	14
done	19	14

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.3s	9346×	body	80	nan
938.0ms	9235×	body	80	valid
1.0ms	1×	body	2560	valid
0.0ms	1×	body	640	valid