Details

sample50.0ms

Algorithm

intervals

Results

18.0ms

275×

body

valid

simplify3.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
11	3462
10	1180
9	657
8	399
7	313
6	270
5	179
4	104
3	59
2	36
1	20
0	10

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
1.1b	(* y (/ (- z t) (- a t)))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-sqr-sqrt`
72×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
28×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`expm1-log1p-u` `fma-def` `flip3--` `associate-l` `log1p-expm1-u` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `flip-+`

Counts

3 → 122

Calls

3 calls:

12.0ms	(+ x (* y (/ (- z t) (- a t))))
40.0ms	(/ (- z t) (- a t))
42.0ms	(* y (/ (- z t) (- a t)))

series346.0ms

Counts

3 → 9

Calls

3 calls:

153.0ms	(+ x (* y (/ (- z t) (- a t))))
91.0ms	(/ (- z t) (- a t))
102.0ms	(* y (/ (- z t) (- a t)))

simplify1.1s

Counts

131 → 131

Iterations

Iter	Nodes
done	5002
2	1824
1	458
0	168

prune782.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.4b	(* y (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))))
2.0b	(cbrt (/ (- z t) (- a t)))
2.0b	(cbrt (/ (- z t) (- a t)))
2.0b	(cbrt (/ (- z t) (- a t)))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-sqr-sqrt`
98×	`*-un-lft-identity`
93×	`cbrt-prod`
75×	`times-frac`
38×	`add-cube-cbrt`
30×	`distribute-lft-out--` `difference-of-squares`
9×	`pow1` `add-exp-log`
7×	`cbrt-div` `add-cbrt-cube`
6×	`associate-/r/`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv` `flip--`
1×	`frac-times` `associate-r` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 150

Calls

4 calls:

105.0ms	(* y (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))))
14.0ms	(cbrt (/ (- z t) (- a t)))
8.0ms	(cbrt (/ (- z t) (- a t)))
8.0ms	(cbrt (/ (- z t) (- a t)))

series1.9s

Counts

4 → 12

Calls

4 calls:

326.0ms	(* y (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))))
502.0ms	(cbrt (/ (- z t) (- a t)))
517.0ms	(cbrt (/ (- z t) (- a t)))
517.0ms	(cbrt (/ (- z t) (- a t)))

simplify1.7s

Counts

162 → 162

Iterations

Iter	Nodes
done	5000
3	4075
2	1121
1	467
0	218

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
0.6b	(cbrt (/ 1 (- a t)))
2.0b	(cbrt (/ (- z t) (- a t)))
2.0b	(cbrt (/ (- z t) (- a t)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

88×	`cbrt-prod`
84×	`add-sqr-sqrt` `*-un-lft-identity`
65×	`times-frac`
36×	`add-cube-cbrt`
24×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
5×	`cbrt-div`
4×	`expm1-log1p-u` `pow1` `flip3--` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `flip--` `add-log-exp`
3×	`div-inv`

Counts

4 → 133

Calls

4 calls:

3.0ms	(cbrt (- z t))
5.0ms	(cbrt (/ 1 (- a t)))
9.0ms	(cbrt (/ (- z t) (- a t)))
27.0ms	(cbrt (/ (- z t) (- a t)))

series1.4s

Counts

4 → 12

Calls

4 calls:

233.0ms	(cbrt (- z t))
213.0ms	(cbrt (/ 1 (- a t)))
439.0ms	(cbrt (/ (- z t) (- a t)))
507.0ms	(cbrt (/ (- z t) (- a t)))

simplify2.5s

Counts

145 → 145

Iterations

Iter	Nodes
done	5000
3	4734
2	1273
1	532
0	281

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))
0.5b	(* (cbrt (- z t)) (cbrt (- z t)))
1.1b	(* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t))))

rewrite305.0ms

Algorithm

rewrite-expression-head

Rules

40×	`cbrt-div`
38×	`cbrt-prod`
35×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
24×	`associate-*r/` `add-exp-log`
20×	`frac-times` `pow1` `flip3--` `flip--`
16×	`add-cbrt-cube`
15×	`add-cube-cbrt`
14×	`associate-*l/`
12×	`prod-exp` `cbrt-unprod`
11×	`associate-l`
10×	`swap-sqr`
9×	`associate-r`
8×	`pow1/3` `pow-prod-down` `distribute-lft-out--`
6×	`difference-of-squares`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 136

Calls

4 calls:

3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))
48.0ms	(* (cbrt (- z t)) (cbrt (- z t)))
245.0ms	(* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t))))

series771.0ms

Counts

4 → 12

Calls

4 calls:

245.0ms	(cbrt (- z t))
230.0ms	(cbrt (- z t))
210.0ms	(* (cbrt (- z t)) (cbrt (- z t)))
86.0ms	(* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t))))

simplify1.6s

Counts

148 → 148

Iterations

Iter	Nodes
done	5002
2	2655
1	595
0	221

prune917.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes732.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample1.2s

Algorithm

intervals

Results

549.0ms	8702×	body	80	valid
0.0ms	1×	body	320	valid