Details

sample41.0ms

Algorithm

intervals

Results

16.0ms

263×

body

valid

simplify8.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	4426
8	3083
7	1801
6	785
5	395
4	178
3	67
2	28
1	14
0	8

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize50.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- t z))
6.8b	(/ x (* (- y z) (- t z)))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 85

Calls

2 calls:

73.0ms	(* (- y z) (- t z))
68.0ms	(/ x (* (- y z) (- t z)))

series325.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(* (- y z) (- t z))
256.0ms	(/ x (* (- y z) (- t z)))

simplify3.2s

Counts

91 → 91

Iterations

Iter	Nodes
done	5002
2	1549
1	436
0	176

prune652.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (- y z))
1.6b	(/ (/ x (- y z)) (- t z))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

210×	`times-frac`
176×	`add-sqr-sqrt` `*-un-lft-identity`
88×	`add-cube-cbrt`
44×	`distribute-lft-out--` `difference-of-squares`
24×	`associate-/l*`
16×	`associate-/r/`
10×	`associate-/r*`
9×	`add-exp-log` `add-cbrt-cube`
8×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 189

Calls

2 calls:

22.0ms	(/ x (- y z))
71.0ms	(/ (/ x (- y z)) (- t z))

series485.0ms

Counts

2 → 6

Calls

2 calls:

85.0ms	(/ x (- y z))
400.0ms	(/ (/ x (- y z)) (- t z))

simplify4.5s

Counts

195 → 195

Iterations

Iter	Nodes
done	5003
2	1713
1	650
0	268

prune2.9s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- y z) x)
1.0b	(/ 1 (/ (- y z) x))
1.6b	(/ (/ 1 (/ (- y z) x)) (- t z))

rewrite2.9s

Algorithm

rewrite-expression-head

Rules

1054×	`times-frac`
680×	`add-sqr-sqrt` `*-un-lft-identity`
414×	`add-cube-cbrt`
133×	`distribute-lft-out--` `difference-of-squares`
70×	`associate-/l*`
35×	`add-exp-log`
31×	`div-inv`
27×	`associate-/r*`
22×	`div-exp`
19×	`add-cbrt-cube`
10×	`cbrt-undiv`
9×	`associate-/r/`
4×	`pow1` `rec-exp` `1-exp`
3×	`expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`
2×	`flip3--` `flip--`
1×	`pow-flip` `div-sub` `inv-pow`

Counts

3 → 544

Calls

3 calls:

39.0ms	(/ (- y z) x)
92.0ms	(/ 1 (/ (- y z) x))
393.0ms	(/ (/ 1 (/ (- y z) x)) (- t z))

series1.5s

Counts

3 → 9

Calls

3 calls:

112.0ms	(/ (- y z) x)
510.0ms	(/ 1 (/ (- y z) x))
842.0ms	(/ (/ 1 (/ (- y z) x)) (- t z))

simplify11.5s

Counts

553 → 553

Iterations

Iter	Nodes
done	5025
2	4044
1	1857
0	675

prune8.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- y z))
0.3b	(* (/ 1 (- y z)) x)
1.6b	(/ (* (/ 1 (- y z)) x) (- t z))

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
37×	`times-frac`
31×	`add-exp-log`
25×	`add-cube-cbrt`
21×	`associate-l`
19×	`add-cbrt-cube`
11×	`div-exp`
10×	`associate-/r*`
9×	`distribute-lft-out--` `difference-of-squares`
8×	`prod-exp`
6×	`pow1` `cbrt-undiv` `associate-/r/`
4×	`cbrt-unprod` `associate-/l*`
3×	`expm1-log1p-u` `rec-exp` `flip3--` `1-exp` `associate-r` `flip--` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `associate-*l/` `clear-num`
1×	`pow-flip` `pow-prod-down` `*-commutative` `associate-/l/` `inv-pow`

Counts

3 → 122

Calls

3 calls:

26.0ms	(/ 1 (- y z))
62.0ms	(* (/ 1 (- y z)) x)
64.0ms	(/ (* (/ 1 (- y z)) x) (- t z))

series844.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(/ 1 (- y z))
133.0ms	(* (/ 1 (- y z)) x)
650.0ms	(/ (* (/ 1 (- y z)) x) (- t z))

simplify7.7s

Counts

131 → 131

Iterations

Iter	Nodes
done	5002
2	1289
1	426
0	172

prune2.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes1.3s

Accuracy

1% (2.2b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.3b

bsearch138.0ms

Steps

Iters	Range		Point
6	2.3884128585412883e-143	2.1821262169991006e-142	2.1415659408671625e-142
10	-7.156514111336426e-107	-4.793339168178284e-120	-6.926678211265294e-112

simplify10.0ms

Iterations

Iter	Nodes
done	24
1	24
0	19

end4.0ms

sample3.0s

Algorithm

intervals

Results

1.3s

8440×

body

valid