Details

sample453.0ms

Algorithm

intervals

Results

144.0ms	78×	body	2560	valid
139.0ms	116×	body	1280	valid
106.0ms	69×	body	10240	exit
23.0ms	33×	body	640	valid
12.0ms	325×	pre	80	true
5.0ms	11×	body	320	valid
2.0ms	7×	body	160	valid
2.0ms	11×	body	80	valid

simplify1.7s

Counts: 1 → 1

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.1b

localize26.0ms

Local error

Found 4 expressions with local error:

27.6b	(* (/ (expm1 (* (+ a b) eps)) (* (expm1 (* eps b)) (expm1 (* eps a)))) eps)
13.9b	(/ (expm1 (* (+ a b) eps)) (* (expm1 (* eps b)) (expm1 (* eps a))))
0.3b	(* (expm1 (* eps b)) (expm1 (* eps a)))
0.0b	(expm1 (* (+ a b) eps))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

Slowest

23.0ms	(* (/ (expm1 (* (+ a b) eps)) (* (expm1 (* eps b)) (expm1 (* eps a)))) eps)
7.0ms	(/ (expm1 (* (+ a b) eps)) (* (expm1 (* eps b)) (expm1 (* eps a))))
6.0ms	(* (expm1 (* eps b)) (expm1 (* eps a)))
0.0ms	(expm1 (* (+ a b) eps))

series1.2s

Counts

4 → 12

Calls

4 calls:

Slowest

553.0ms	(/ (expm1 (* (+ a b) eps)) (* (expm1 (* eps b)) (expm1 (* eps a))))
520.0ms	(* (/ (expm1 (* (+ a b) eps)) (* (expm1 (* eps b)) (expm1 (* eps a)))) eps)
66.0ms	(* (expm1 (* eps b)) (expm1 (* eps a)))
65.0ms	(expm1 (* (+ a b) eps))

simplify3.4s

Counts: 100 → 100

prune1.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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:

Slowest

11.0ms

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

series12.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

12.0ms

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

simplify1.2s

Counts: 38 → 38

prune288.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

27.6b	(* (/ (/ (expm1 (* (+ b a) eps)) (expm1 (* eps a))) (expm1 (* eps b))) eps)
11.8b	(/ (expm1 (* (+ b a) eps)) (expm1 (* eps a)))
0.3b	(/ (/ (expm1 (* (+ b a) eps)) (expm1 (* eps a))) (expm1 (* eps b)))
0.0b	(expm1 (* (+ b a) eps))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 185

Calls

4 calls:

Slowest

40.0ms	(* (/ (/ (expm1 (* (+ b a) eps)) (expm1 (* eps a))) (expm1 (* eps b))) eps)
15.0ms	(/ (/ (expm1 (* (+ b a) eps)) (expm1 (* eps a))) (expm1 (* eps b)))
9.0ms	(/ (expm1 (* (+ b a) eps)) (expm1 (* eps a)))
1.0ms	(expm1 (* (+ b a) eps))

series1.5s

Counts

4 → 12

Calls

4 calls:

Slowest

717.0ms	(/ (/ (expm1 (* (+ b a) eps)) (expm1 (* eps a))) (expm1 (* eps b)))
664.0ms	(* (/ (/ (expm1 (* (+ b a) eps)) (expm1 (* eps a))) (expm1 (* eps b))) eps)
82.0ms	(/ (expm1 (* (+ b a) eps)) (expm1 (* eps a)))
64.0ms	(expm1 (* (+ b a) eps))

simplify938.0ms

Counts: 197 → 197

prune2.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

27.6b	(* (/ (/ (expm1 (* (+ b a) eps)) (expm1 (* eps a))) (expm1 (* eps b))) eps)
27.6b	(* (/ (/ (expm1 (* (+ b a) eps)) (expm1 (* eps a))) (expm1 (* eps b))) eps)
11.8b	(/ (expm1 (* (+ b a) eps)) (expm1 (* eps a)))
11.8b	(/ (expm1 (* (+ b a) eps)) (expm1 (* eps a)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
110×	`add-sqr-sqrt`
92×	`*-un-lft-identity` `add-cube-cbrt`
86×	`associate-l`
26×	`add-cbrt-cube` `add-exp-log`
10×	`div-inv`
8×	`pow1` `cbrt-undiv` `div-exp`
6×	`associate-/r` `associate-r` `prod-exp` `cbrt-unprod` `associate-/l` `unswap-sqr`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `div-sub` `pow-prod-down` `associate-l/` `-commutative` `expm1-udef`

Counts

4 → 198

Calls

4 calls:

Slowest

20.0ms	(* (/ (/ (expm1 (* (+ b a) eps)) (expm1 (* eps a))) (expm1 (* eps b))) eps)
15.0ms	(* (/ (/ (expm1 (* (+ b a) eps)) (expm1 (* eps a))) (expm1 (* eps b))) eps)
7.0ms	(/ (expm1 (* (+ b a) eps)) (expm1 (* eps a)))
5.0ms	(/ (expm1 (* (+ b a) eps)) (expm1 (* eps a)))

series1.6s

Counts

4 → 12

Calls

4 calls:

Slowest

642.0ms	(* (/ (/ (expm1 (* (+ b a) eps)) (expm1 (* eps a))) (expm1 (* eps b))) eps)
505.0ms	(* (/ (/ (expm1 (* (+ b a) eps)) (expm1 (* eps a))) (expm1 (* eps b))) eps)
333.0ms	(/ (expm1 (* (+ b a) eps)) (expm1 (* eps a)))
81.0ms	(/ (expm1 (* (+ b a) eps)) (expm1 (* eps a)))

simplify2.0s

Counts: 210 → 210

prune3.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes95.0ms

Accuracy

0% (3.5b remaining)

Error of 3.5b against oracle of 0.1b and baseline of 3.5b

bsearch1.0ms

end0.0ms

sample18.8s

Algorithm

intervals

Results

6.4s	3456×	body	1280	valid
5.4s	2562×	body	2560	valid
4.8s	1939×	body	10240	exit
1.1s	1055×	body	640	valid
523.0ms	9940×	pre	80	true
224.0ms	335×	body	320	valid
78.0ms	469×	body	80	valid
71.0ms	124×	body	160	valid