Details

sample492.0ms

Algorithm

intervals

Results

156.0ms	81×	body	2560	valid
146.0ms	56×	body	10240	exit
119.0ms	105×	body	1280	valid
25.0ms	38×	body	640	valid
13.0ms	313×	pre	80	true
5.0ms	10×	body	320	valid
3.0ms	19×	body	80	valid
1.0ms	4×	body	160	valid

simplify599.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2002
4	642
3	191
2	80
1	46
0	17

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.3b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (* (+ a b) eps))
0.1b	(* (expm1 (* (+ a b) eps)) eps)
0.3b	(* (expm1 (* eps b)) (expm1 (* eps a)))
38.3b	(/ (* (expm1 (* (+ a b) eps)) eps) (* (expm1 (* eps b)) (expm1 (* eps a))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-cbrt-cube` `add-exp-log`
12×	`add-sqr-sqrt`
8×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r` `associate-l` `prod-exp` `cbrt-unprod`
5×	`log1p-expm1-u`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `insert-posit16` `add-log-exp`
2×	`pow-prod-down` `*-commutative` `unswap-sqr`
1×	`expm1-log1p` `clear-num` `associate-/r` `frac-2neg` `times-frac` `div-inv` `associate-/l` `expm1-udef`

Counts

4 → 78

Calls

4 calls:

0.0ms	(expm1 (* (+ a b) eps))
10.0ms	(* (expm1 (* (+ a b) eps)) eps)
6.0ms	(* (expm1 (* eps b)) (expm1 (* eps a)))
20.0ms	(/ (* (expm1 (* (+ a b) eps)) eps) (* (expm1 (* eps b)) (expm1 (* eps a))))

series892.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(expm1 (* (+ a b) eps))
111.0ms	(* (expm1 (* (+ a b) eps)) eps)
57.0ms	(* (expm1 (* eps b)) (expm1 (* eps a)))
651.0ms	(/ (* (expm1 (* (+ a b) eps)) eps) (* (expm1 (* eps b)) (expm1 (* eps a))))

simplify667.0ms

Counts

90 → 90

Iterations

Iter	Nodes
done	2001
2	1711
1	346
0	137

prune438.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (/ 1 a) (/ 1 b))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
15×	`times-frac`
13×	`fma-def`
10×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`distribute-lft-out`
5×	`div-inv`
3×	`add-log-exp`
1×	`expm1-log1p-u` `pow1` `+-commutative` `sum-log` `flip3-+` `add-cbrt-cube` `frac-add` `add-exp-log` `flip-+` `insert-posit16` `log1p-expm1-u`

Counts

1 → 35

Calls

1 calls:

20.0ms

(+ (/ 1 a) (/ 1 b))

series13.0ms

Counts

1 → 3

Calls

1 calls:

13.0ms

(+ (/ 1 a) (/ 1 b))

simplify960.0ms

Counts

38 → 38

Iterations

Iter	Nodes
done	2000
4	1719
3	692
2	310
1	111
0	43

prune172.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (/ 1 a) (/ 1 b))) (cbrt (+ (/ 1 a) (/ 1 b))))
0.5b	(cbrt (+ (/ 1 a) (/ 1 b)))
0.5b	(cbrt (+ (/ 1 a) (/ 1 b)))
0.5b	(cbrt (+ (/ 1 a) (/ 1 b)))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

139×	`*-un-lft-identity`
114×	`cbrt-prod`
81×	`distribute-lft-out`
60×	`div-inv`
42×	`times-frac`
37×	`add-sqr-sqrt`
33×	`cbrt-div` `swap-sqr`
29×	`add-cube-cbrt`
13×	`associate-r` `associate-l`
11×	`pow1` `flip3-+` `frac-add` `flip-+`
9×	`frac-times` `pow1/3`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`associate-l/` `associate-r/`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 171

Calls

4 calls:

76.0ms	(* (cbrt (+ (/ 1 a) (/ 1 b))) (cbrt (+ (/ 1 a) (/ 1 b))))
7.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))
8.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))
14.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))

series526.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(* (cbrt (+ (/ 1 a) (/ 1 b))) (cbrt (+ (/ 1 a) (/ 1 b))))
125.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))
120.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))
108.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))

simplify740.0ms

Counts

183 → 183

Iterations

Iter	Nodes
done	2007
2	1244
1	438
0	184

prune554.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (/ 1 a) (/ 1 b)))
0.6b	(cbrt (cbrt (+ (/ 1 a) (/ 1 b))))
0.6b	(cbrt (cbrt (+ (/ 1 a) (/ 1 b))))
0.6b	(cbrt (cbrt (+ (/ 1 a) (/ 1 b))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

79×	`cbrt-prod`
59×	`*-un-lft-identity`
28×	`distribute-lft-out`
24×	`times-frac`
21×	`cbrt-div`
19×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`div-inv`
4×	`expm1-log1p-u` `pow1` `flip3-+` `add-cbrt-cube` `pow1/3` `frac-add` `add-exp-log` `flip-+` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 105

Calls

4 calls:

11.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))
13.0ms	(cbrt (cbrt (+ (/ 1 a) (/ 1 b))))
11.0ms	(cbrt (cbrt (+ (/ 1 a) (/ 1 b))))
8.0ms	(cbrt (cbrt (+ (/ 1 a) (/ 1 b))))

series628.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(cbrt (+ (/ 1 a) (/ 1 b)))
175.0ms	(cbrt (cbrt (+ (/ 1 a) (/ 1 b))))
182.0ms	(cbrt (cbrt (+ (/ 1 a) (/ 1 b))))
148.0ms	(cbrt (cbrt (+ (/ 1 a) (/ 1 b))))

simplify744.0ms

Counts

117 → 117

Iterations

Iter	Nodes
done	2001
2	1003
1	348
0	146

prune541.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes154.0ms

Accuracy

0% (3.3b remaining)

Error of 3.3b against oracle of 0.0b and baseline of 3.3b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	6

end0.0ms

sample19.5s

Algorithm

intervals

Results

7.1s	2704×	body	2560	valid
5.6s	3369×	body	1280	valid
4.2s	1985×	body	10240	exit
1.5s	1039×	body	640	valid
463.0ms	9989×	pre	80	true
189.0ms	341×	body	320	valid
77.0ms	447×	body	80	valid
35.0ms	104×	body	160	valid