Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

285×

body

valid

simplify657.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	35	10
3	57	10
4	94	10
5	137	10
6	189	10
7	215	10
8	245	10
9	281	10
10	374	10
11	493	10
12	582	10
13	615	10
14	622	10
done	622	10

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
0.6b	(* y (/ (- z t) (- a t)))

rewrite49.0ms

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-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`expm1-log1p-u` `flip3--` `fma-def` `associate-l` `flip--` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 122

Calls

3 calls:

3.0ms	(+ x (* y (/ (- z t) (- a t))))
15.0ms	(/ (- z t) (- a t))
26.0ms	(* y (/ (- z t) (- a t)))

series190.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(+ x (* y (/ (- z t) (- a t))))
50.0ms	(/ (- z t) (- a t))
62.0ms	(* y (/ (- z t) (- a t)))

simplify695.0ms

Counts

131 → 131

Iterations

Useful iterations: 2 (141.0ms)

Iter	Nodes	Cost
0	168	1615
1	434	1512
2	1390	1414
done	5000	1414

prune299.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (* (- z t) (/ 1 (- a t)))))
0.0b	(/ 1 (- a t))
0.2b	(* (- z t) (/ 1 (- a t)))
0.6b	(* y (* (- z t) (/ 1 (- a t))))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
32×	`add-exp-log` `times-frac`
26×	`add-cube-cbrt`
22×	`associate-r`
20×	`add-cbrt-cube`
13×	`prod-exp`
12×	`pow1`
8×	`associate-r/` `associate-l*` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`flip3--` `div-exp` `flip--` `add-log-exp`
5×	`associate-/r*`
4×	`expm1-log1p-u` `frac-times` `pow-prod-down` `associate-*l/` `associate-/r/` `log1p-expm1-u`
3×	`cbrt-undiv` `rec-exp` `fma-def` `1-exp` `associate-/l*` `unswap-sqr`
2×	`un-div-inv` `*-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+` `inv-pow`

Counts

4 → 141

Calls

4 calls:

3.0ms	(+ x (* y (* (- z t) (/ 1 (- a t)))))
8.0ms	(/ 1 (- a t))
26.0ms	(* (- z t) (/ 1 (- a t)))
27.0ms	(* y (* (- z t) (/ 1 (- a t))))

series229.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(+ x (* y (* (- z t) (/ 1 (- a t)))))
33.0ms	(/ 1 (- a t))
52.0ms	(* (- z t) (/ 1 (- a t)))
64.0ms	(* y (* (- z t) (/ 1 (- a t))))

simplify892.0ms

Counts

153 → 153

Iterations

Useful iterations: 2 (369.0ms)

Iter	Nodes	Cost
0	190	1812
1	469	1462
2	1465	1286
done	5000	1286

prune311.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(* (/ (- z t) (- a t)) (cbrt y))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
31×	`associate-l`
27×	`times-frac`
20×	`add-cube-cbrt`
14×	`cbrt-prod`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log`
7×	`add-cbrt-cube`
6×	`pow1` `associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow1/3`
2×	`prod-exp` `associate-/r/` `cbrt-unprod`
1×	`cbrt-undiv` `flip3--` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `flip--` `div-inv`

Counts

4 → 96

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)
32.0ms	(* (/ (- z t) (- a t)) (cbrt y))

series682.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(cbrt y)
167.0ms	(cbrt y)
166.0ms	(cbrt y)
160.0ms	(* (/ (- z t) (- a t)) (cbrt y))

simplify1.5s

Counts

108 → 108

Iterations

Useful iterations: 3 (578.0ms)

Iter	Nodes	Cost
0	122	959
1	286	936
2	830	866
3	3328	856
done	5001	856

prune294.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- a t)) (cbrt (- a t)))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

21.0ms	(* (cbrt (- a t)) (cbrt (- a t)))
0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series645.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(* (cbrt (- a t)) (cbrt (- a t)))
170.0ms	(cbrt y)
168.0ms	(cbrt y)
173.0ms	(cbrt y)

simplify1.7s

Counts

109 → 109

Iterations

Useful iterations: 3 (539.0ms)

Iter	Nodes	Cost
0	127	1059
1	234	951
2	668	899
3	2700	831
done	5000	831

prune370.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes164.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	17	13
done	17	13

end0.0ms

sample523.0ms

Algorithm

intervals

Results

269.0ms	8738×	body	80	valid
0.0ms	1×	body	640	valid