Details

sample60.0ms

Algorithm

intervals

Results

37.0ms

276×

body

valid

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	2423
17	2423
16	2421
15	2418
14	2416
13	2337
12	1761
11	1047
10	551
9	445
8	388
7	344
6	266
5	171
4	106
3	63
2	35
1	17
0	10

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ t (- a z))
3.7b	(fma (- y z) (/ t (- a z)) x)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/r*`
4×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out--` `difference-of-squares`
3×	`associate-/l*`
2×	`expm1-log1p-u` `pow1` `associate-/r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `fma-udef` `div-inv` `flip--`

Counts

2 → 51

Calls

2 calls:

8.0ms	(/ t (- a z))
0.0ms	(fma (- y z) (/ t (- a z)) x)

series150.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(/ t (- a z))
88.0ms	(fma (- y z) (/ t (- a z)) x)

simplify2.2s

Counts

57 → 57

Iterations

Iter	Nodes
done	5000
4	3904
3	1187
2	418
1	178
0	94

prune342.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t (- a z))
0.0b	(+ (* (- y z) (/ t (- a z))) x)
10.6b	(* (- y z) (/ t (- a z)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
10×	`add-cbrt-cube` `add-exp-log`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/r` `associate-l*` `add-log-exp`
4×	`flip3--` `associate-/r/` `flip--`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `associate-/l*`
2×	`frac-times` `cbrt-undiv` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `clear-num` `sum-log` `fma-def` `frac-2neg` `flip3-+` `pow-prod-down` `associate-r/` `-commutative` `flip-+`

Counts

3 → 104

Calls

3 calls:

14.0ms	(/ t (- a z))
15.0ms	(+ (* (- y z) (/ t (- a z))) x)
46.0ms	(* (- y z) (/ t (- a z)))

series319.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(/ t (- a z))
157.0ms	(+ (* (- y z) (/ t (- a z))) x)
119.0ms	(* (- y z) (/ t (- a z)))

simplify1.4s

Counts

113 → 113

Iterations

Iter	Nodes
done	5000
2	1457
1	407
0	163

prune670.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- a z))
0.0b	(+ (* (- y z) (* t (/ 1 (- a z)))) x)
0.2b	(* t (/ 1 (- a z)))
10.6b	(* (- y z) (* t (/ 1 (- a z))))

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
32×	`times-frac` `add-exp-log`
25×	`add-cube-cbrt`
22×	`associate-r`
20×	`add-cbrt-cube`
13×	`prod-exp`
12×	`pow1`
8×	`associate-l` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`div-exp` `associate-*r/` `add-log-exp`
5×	`associate-/r*` `flip3--` `flip--`
4×	`expm1-log1p-u` `frac-times` `pow-prod-down` `associate-/r/` `un-div-inv` `insert-posit16` `log1p-expm1-u`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `clear-num` `sum-log` `fma-def` `frac-2neg` `flip3-+` `flip-+` `pow-flip` `inv-pow`

Counts

4 → 141

Calls

4 calls:

17.0ms	(/ 1 (- a z))
41.0ms	(+ (* (- y z) (* t (/ 1 (- a z)))) x)
21.0ms	(* t (/ 1 (- a z)))
80.0ms	(* (- y z) (* t (/ 1 (- a z))))

series332.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ 1 (- a z))
142.0ms	(+ (* (- y z) (* t (/ 1 (- a z)))) x)
39.0ms	(* t (/ 1 (- a z)))
104.0ms	(* (- y z) (* t (/ 1 (- a z))))

simplify1.6s

Counts

153 → 153

Iterations

Iter	Nodes
done	5001
2	1696
1	483
0	192

prune622.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(* t (- y z))
0.0b	(+ (/ (* t (- y z)) (- a z)) x)
8.3b	(/ (* t (- y z)) (- a z))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt` `*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `fma-def` `distribute-lft-in`
10×	`times-frac` `add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r` `associate-r*` `add-log-exp`
4×	`flip3--` `associate-*r/` `associate-/r/` `flip--` `distribute-lft-out--` `difference-of-squares`
3×	`expm1-log1p-u` `associate-l` `insert-posit16` `log1p-expm1-u`
2×	`cbrt-undiv` `sub-neg` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `pow-prod-down` `-commutative` `flip-+` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 105

Calls

3 calls:

15.0ms	(* t (- y z))
41.0ms	(+ (/ (* t (- y z)) (- a z)) x)
39.0ms	(/ (* t (- y z)) (- a z))

series254.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(* t (- y z))
114.0ms	(+ (/ (* t (- y z)) (- a z)) x)
95.0ms	(/ (* t (- y z)) (- a z))

simplify1.3s

Counts

114 → 114

Iterations

Iter	Nodes
done	5000
2	1354
1	462
0	185

prune473.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes255.0ms

Accuracy

45.6% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 1.5b

bsearch93.0ms

Steps

Iters	Range		Point
6	2.972559218760726e+72	1.6869597207852676e+73	3.0072207939681947e+72
7	-2.0209731596725413e-20	-2.7297765174427625e-22	-1.988139439039141e-20

simplify4.0ms

Iterations

Iter	Nodes
done	28
2	28
1	27
0	20

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.0s	8708×	body	80	valid
1.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid