Details

sample31.0ms

Algorithm

intervals

Results

14.0ms

280×

body

valid

simplify169.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	160
9	160
8	157
7	147
6	131
5	100
4	75
3	48
2	27
1	14
0	8

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.7b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 77

Calls

2 calls:

23.0ms	(* x (- y z))
37.0ms	(/ (* x (- y z)) (- t z))

series187.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(* x (- y z))
112.0ms	(/ (* x (- y z)) (- t z))

simplify3.3s

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
3	4574
2	1048
1	392
0	157

prune418.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- t z))
1.5b	(* x (/ (- y z) (- t z)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 106

Calls

2 calls:

23.0ms	(/ (- y z) (- t z))
43.0ms	(* x (/ (- y z) (- t z)))

series162.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(/ (- y z) (- t z))
101.0ms	(* x (/ (- y z) (- t z)))

simplify3.0s

Counts

112 → 112

Iterations

Iter	Nodes
done	5000
3	4646
2	1155
1	375
0	142

prune639.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- t z) (- y z))
1.5b	(/ x (/ (- t z) (- y z)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
194×	`add-sqr-sqrt` `*-un-lft-identity`
90×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
9×	`add-cbrt-cube` `add-exp-log`
8×	`associate-/l*`
6×	`flip3--` `div-inv` `flip--`
4×	`cbrt-undiv` `div-exp`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `log1p-expm1-u` `add-log-exp` `associate-/l/`
1×	`div-sub`

Counts

2 → 198

Calls

2 calls:

37.0ms	(/ (- t z) (- y z))
21.0ms	(/ x (/ (- t z) (- y z)))

series339.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(/ (- t z) (- y z))
273.0ms	(/ x (/ (- t z) (- y z)))

simplify1.9s

Counts

204 → 204

Iterations

Iter	Nodes
done	5002
2	2750
1	737
0	274

prune954.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ z (- y z))
0.0b	(/ t (- y z))
1.5b	(/ x (- (/ t (- y z)) (/ z (- y z))))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

174×	`*-un-lft-identity`
156×	`times-frac`
134×	`add-sqr-sqrt`
56×	`distribute-lft-out--`
54×	`add-cube-cbrt`
32×	`difference-of-squares`
28×	`associate-/r*`
24×	`associate-/r/`
12×	`distribute-rgt-out--`
11×	`flip3--` `div-inv` `flip--`
9×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
3×	`expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `log1p-expm1-u` `add-log-exp`
1×	`frac-sub` `sub-div`

Counts

3 → 171

Calls

3 calls:

9.0ms	(/ z (- y z))
9.0ms	(/ t (- y z))
112.0ms	(/ x (- (/ t (- y z)) (/ z (- y z))))

series220.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(/ z (- y z))
35.0ms	(/ t (- y z))
125.0ms	(/ x (- (/ t (- y z)) (/ z (- y z))))

simplify1.5s

Counts

180 → 180

Iterations

Iter	Nodes
done	5001
2	1706
1	542
0	270

prune954.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes511.0ms

Accuracy

-1.3% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch107.0ms

Steps

Iters	Range		Point
8	1.2580005300776755e-205	1.2660470661446476e-201	4.5513352917512905e-204
8	-3.110970587322126e-187	-1.8392055086647083e-191	-1.5211504248577889e-190

simplify3.0ms

Iterations

Iter	Nodes
done	22
1	22
0	18

end0.0ms

sample720.0ms

Algorithm

intervals

Results

439.0ms

8704×

body

valid