Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

289×

body

valid

simplify640.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (8.0ms)

Iter	Nodes	Cost
0	10	11
1	18	11
2	33	11
3	60	10
4	102	10
5	149	10
6	199	10
7	234	10
8	278	10
9	364	10
10	477	10
11	549	10
12	642	10
13	669	10
done	669	10

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- z a))
3.9b	(fma (/ y (- z a)) (- z t) x)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/r*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `fma-udef` `div-inv`

Counts

2 → 49

Calls

2 calls:

5.0ms	(/ y (- z a))
3.0ms	(fma (/ y (- z a)) (- z t) x)

series115.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ y (- z a))
81.0ms	(fma (/ y (- z a)) (- z t) x)

simplify939.0ms

Counts

55 → 55

Iterations

Useful iterations: 4 (393.0ms)

Iter	Nodes	Cost
0	92	552
1	171	535
2	363	495
3	780	495
4	2052	494
done	5000	494

prune156.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- z a))
0.0b	(+ (* (/ y (- z a)) (- z t)) x)
11.1b	(* (/ y (- z a)) (- z t))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 145

Calls

3 calls:

5.0ms	(/ y (- z a))
12.0ms	(+ (* (/ y (- z a)) (- z t)) x)
26.0ms	(* (/ y (- z a)) (- z t))

series259.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ y (- z a))
102.0ms	(+ (* (/ y (- z a)) (- z t)) x)
125.0ms	(* (/ y (- z a)) (- z t))

simplify846.0ms

Counts

154 → 154

Iterations

Useful iterations: done (842.0ms)

Iter	Nodes	Cost
0	226	2339
1	567	1987
2	1702	1783
done	5001	1747

prune410.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* y (/ (- z t) (- z a))) x)
0.0b	(/ (- z t) (- z a))
2.1b	(* y (/ (- z t) (- z a)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`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--` `associate-l` `flip--` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `fma-def` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 120

Calls

3 calls:

9.0ms	(+ (* y (/ (- z t) (- z a))) x)
15.0ms	(/ (- z t) (- z a))
25.0ms	(* y (/ (- z t) (- z a)))

series235.0ms

Counts

3 → 9

Calls

3 calls:

104.0ms	(+ (* y (/ (- z t) (- z a))) x)
55.0ms	(/ (- z t) (- z a))
75.0ms	(* y (/ (- z t) (- z a)))

simplify1.6s

Counts

129 → 129

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	168	1615
1	438	1506
2	1146	1422
3	3626	1414
done	5000	1412

prune363.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y (* (- z t) (/ 1 (- z a)))) x)
0.0b	(/ 1 (- z a))
0.2b	(* (- z t) (/ 1 (- z a)))
2.1b	(* y (* (- z t) (/ 1 (- z a))))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
32×	`add-exp-log` `times-frac`
25×	`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` `1-exp` `associate-/l*` `unswap-sqr`
2×	`un-div-inv` `*-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `fma-def` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+` `inv-pow`

Counts

4 → 139

Calls

4 calls:

25.0ms	(+ (* y (* (- z t) (/ 1 (- z a)))) x)
6.0ms	(/ 1 (- z a))
29.0ms	(* (- z t) (/ 1 (- z a)))
26.0ms	(* y (* (- z t) (/ 1 (- z a))))

series290.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(+ (* y (* (- z t) (/ 1 (- z a)))) x)
47.0ms	(/ 1 (- z a))
52.0ms	(* (- z t) (/ 1 (- z a)))
86.0ms	(* y (* (- z t) (/ 1 (- z a))))

simplify674.0ms

Counts

151 → 151

Iterations

Useful iterations: done (670.0ms)

Iter	Nodes	Cost
0	190	1812
1	475	1456
2	1390	1294
done	5000	1287

prune343.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes165.0ms

Accuracy

83.4% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.5b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	60
1	31	60
done	31	60

end0.0ms

sample528.0ms

Algorithm

intervals

Results

276.0ms	8763×	body	80	valid
0.0ms	1×	body	160	valid