Details

sample109.0ms

Algorithm

intervals

Results

60.0ms	100×	body	10240	exit
30.0ms	256×	body	80	valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8
done	7	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.3b	(/ (exp a) (+ (exp a) (exp b)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
5×	`distribute-lft-out`
4×	`associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `fma-def` `associate-/l*`
2×	`pow1` `expm1-log1p-u` `flip3-+` `associate-/r/` `flip-+` `log1p-expm1-u`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

2 → 52

Calls

2 calls:

11.0ms	(+ (exp a) (exp b))
23.0ms	(/ (exp a) (+ (exp a) (exp b)))

series120.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ (exp a) (exp b))
79.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify3.3s

Counts

58 → 58

Iterations

Useful iterations: 4 (842.0ms)

Iter	Nodes	Cost
0	82	646
1	172	616
2	403	576
3	798	575
4	2080	574
done	5000	574

prune199.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.0b	(exp (/ (exp a) (+ (exp a) (exp b))))
0.0b	(log (exp (/ (exp a) (+ (exp a) (exp b)))))
0.3b	(/ (exp a) (+ (exp a) (exp b)))

rewrite211.0ms

Algorithm

rewrite-expression-head

Rules

53×	`*-un-lft-identity`
36×	`exp-prod` `times-frac`
31×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`log-pow`
11×	`distribute-lft-out`
7×	`add-log-exp`
6×	`associate-/r/` `add-cbrt-cube`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `flip3-+` `associate-/r*` `flip-+` `log1p-expm1-u`
3×	`log-prod` `fma-def` `div-inv` `associate-/l*`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `sum-log` `rem-exp-log`

Counts

4 → 112

Calls

4 calls:

24.0ms	(+ (exp a) (exp b))
75.0ms	(exp (/ (exp a) (+ (exp a) (exp b))))
62.0ms	(log (exp (/ (exp a) (+ (exp a) (exp b)))))
41.0ms	(/ (exp a) (+ (exp a) (exp b)))

series211.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ (exp a) (exp b))
98.0ms	(exp (/ (exp a) (+ (exp a) (exp b))))
49.0ms	(log (exp (/ (exp a) (+ (exp a) (exp b)))))
40.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify3.8s

Counts

124 → 124

Iterations

Useful iterations: done (3.8s)

Iter	Nodes	Cost
0	141	1440
1	249	1310
2	535	1224
3	1046	1219
4	2507	1217
done	5000	1216

prune547.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(log (* (fma 1/4 (- a b) 1) (exp 1/2)))
0.1b	(* (fma 1/4 (- a b) 1) (exp 1/2))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1`
6×	`add-sqr-sqrt`
5×	`add-exp-log`
4×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `rem-log-exp` `pow-prod-down` `prod-exp` `log-pow` `log1p-expm1-u` `add-log-exp`
1×	`log-prod` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 34

Calls

2 calls:

10.0ms	(log (* (fma 1/4 (- a b) 1) (exp 1/2)))
13.0ms	(* (fma 1/4 (- a b) 1) (exp 1/2))

series267.0ms

Counts

2 → 6

Calls

2 calls:

179.0ms	(log (* (fma 1/4 (- a b) 1) (exp 1/2)))
87.0ms	(* (fma 1/4 (- a b) 1) (exp 1/2))

simplify1.5s

Counts

40 → 40

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	81	517
1	179	476
2	493	420
3	1547	394
done	5000	393

prune152.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(log1p (* (- a b) 1/4))
0.0b	(log (+ (log1p (* (- a b) 1/4)) 1/2))
0.2b	(exp (log (+ (log1p (* (- a b) 1/4)) 1/2)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
8×	`log-prod`
6×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`pow1`
4×	`add-exp-log` `expm1-log1p-u` `log-div` `exp-prod` `exp-sum`
3×	`add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`flip3-+` `exp-diff` `log-pow` `flip-+` `distribute-lft-out`
1×	`log1p-udef` `log1p-expm1` `rem-log-exp` `rem-exp-log`

Counts

3 → 48

Calls

3 calls:

1.0ms	(log1p (* (- a b) 1/4))
9.0ms	(log (+ (log1p (* (- a b) 1/4)) 1/2))
14.0ms	(exp (log (+ (log1p (* (- a b) 1/4)) 1/2)))

series652.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(log1p (* (- a b) 1/4))
474.0ms	(log (+ (log1p (* (- a b) 1/4)) 1/2))
84.0ms	(exp (log (+ (log1p (* (- a b) 1/4)) 1/2)))

simplify1.6s

Counts

57 → 57

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	142	927
1	324	806
2	803	744
3	2507	730
done	5000	721

prune224.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

regimes204.0ms

Accuracy

0% (0.1b remaining)

Error of 0.8b against oracle of 0.7b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	9	10
done	9	10

end0.0ms

sample3.7s

Algorithm

intervals

Results

2.8s	3493×	body	10240	exit
415.0ms	8000×	body	80	valid