Details

sample46.0ms

Algorithm

intervals

Results

19.0ms

276×

body

valid

simplify3.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
10	3638
9	1242
8	657
7	374
6	278
5	190
4	116
3	61
2	33
1	18
0	10

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
1.3b	(fma (/ (- z t) (- z a)) y x)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 64

Calls

2 calls:

40.0ms	(/ (- z t) (- z a))
1.0ms	(fma (/ (- z t) (- z a)) y x)

series195.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(/ (- z t) (- z a))
128.0ms	(fma (/ (- z t) (- z a)) y x)

simplify2.5s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
3	4799
2	831
1	266
0	113

prune470.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (- z t) (/ 1 (- z a)))
1.3b	(fma (* (- z t) (/ 1 (- z a))) y x)

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`-un-lft-identity` `associate-r*`
17×	`times-frac`
12×	`add-cube-cbrt`
11×	`add-exp-log`
7×	`add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `prod-exp` `distribute-lft-out--` `difference-of-squares`
3×	`flip3--` `flip--` `unswap-sqr`
2×	`expm1-log1p-u` `frac-times` `div-exp` `associate-*l/` `associate-/r/` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `fma-udef` `div-inv`

Counts

2 → 62

Calls

2 calls:

60.0ms	(* (- z t) (/ 1 (- z a)))
1.0ms	(fma (* (- z t) (/ 1 (- z a))) y x)

series188.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(* (- z t) (/ 1 (- z a)))
114.0ms	(fma (* (- z t) (/ 1 (- z a))) y x)

simplify6.5s

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
2	2645
1	329
0	131

prune507.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- z a))
0.0b	(+ (* (/ y (- z a)) (- z t)) x)
10.0b	(* (/ y (- z a)) (- z t))

rewrite132.0ms

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-cbrt-cube` `add-exp-log`
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×	`frac-times` `cbrt-undiv` `div-exp` `prod-exp` `associate-*r/` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `clear-num` `sum-log` `fma-def` `frac-2neg` `flip3-+` `pow-prod-down` `associate-l/` `-commutative` `flip-+`

Counts

3 → 145

Calls

3 calls:

22.0ms	(/ y (- z a))
38.0ms	(+ (* (/ y (- z a)) (- z t)) x)
60.0ms	(* (/ y (- z a)) (- z t))

series373.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ y (- z a))
124.0ms	(+ (* (/ y (- z a)) (- z t)) x)
214.0ms	(* (/ y (- z a)) (- z t))

simplify2.7s

Counts

154 → 154

Iterations

Iter	Nodes
done	5000
2	3144
1	631
0	226

prune947.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* y (/ 1 (- z a))) (- z t)) x)
0.2b	(* y (/ 1 (- z a)))
10.0b	(* (* y (/ 1 (- z a))) (- z t))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
47×	`*-un-lft-identity`
38×	`add-cube-cbrt`
36×	`prod-diff`
27×	`add-exp-log`
26×	`associate-r`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
17×	`times-frac` `add-cbrt-cube`
13×	`prod-exp`
10×	`pow1`
7×	`cbrt-unprod`
6×	`associate-*r/`
5×	`add-log-exp`
4×	`frac-times` `sub-neg` `flip3--` `div-exp` `associate-l` `pow-prod-down` `un-div-inv` `flip--` `distribute-lft-out--` `difference-of-squares`
3×	`expm1-log1p-u` `log1p-expm1-u` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `associate-l/` `associate-/r/` `-commutative`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `flip-+` `div-inv`

Counts

3 → 138

Calls

3 calls:

55.0ms	(+ (* (* y (/ 1 (- z a))) (- z t)) x)
39.0ms	(* y (/ 1 (- z a)))
76.0ms	(* (* y (/ 1 (- z a))) (- z t))

series420.0ms

Counts

3 → 9

Calls

3 calls:

188.0ms	(+ (* (* y (/ 1 (- z a))) (- z t)) x)
47.0ms	(* y (/ 1 (- z a)))
185.0ms	(* (* y (/ 1 (- z a))) (- z t))

simplify3.2s

Counts

147 → 147

Iterations

Iter	Nodes
done	5000
2	3843
1	690
0	234

prune901.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes522.0ms

Accuracy

41.7% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 1.2b

bsearch81.0ms

Steps

Iters	Range		Point
7	1.273210862511844e-169	8.991995467258023e-168	5.380855567614572e-168
7	-1.9212019420744368e-147	-3.163484933478825e-149	-1.1090163028868352e-147

simplify3.0ms

Iterations

Iter	Nodes
done	23
1	23
0	18

end0.0ms

sample947.0ms

Algorithm

intervals

Results

472.0ms	8721×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid