Details

sample346.0ms

Algorithm

intervals

Results

106.0ms	80×	body	2560	valid
105.0ms	105×	body	1280	valid
76.0ms	60×	body	10240	exit
18.0ms	38×	body	640	valid
7.0ms	316×	pre	80	true
3.0ms	11×	body	320	valid
2.0ms	19×	body	80	valid
1.0ms	3×	body	160	valid

simplify2.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	4020
4	765
3	258
2	101
1	40
0	17

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.3b

localize44.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0)))
2.6b	(- (exp (* b eps)) 1.0)
3.1b	(- (exp (* a eps)) 1.0)
4.5b	(- (exp (* (+ a b) eps)) 1.0)

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`prod-diff`
25×	`add-cube-cbrt`
16×	`add-cbrt-cube` `add-exp-log`
10×	`flip3--` `flip--` `add-log-exp`
9×	`fma-neg`
8×	`associate-/r/`
4×	`expm1-log1p-u` `frac-times` `pow1` `cbrt-undiv` `div-exp` `prod-exp` `associate-*r/` `cbrt-unprod` `log1p-expm1-u`
3×	`sub-neg` `diff-log` `distribute-lft-out--` `difference-of-squares`
2×	`associate-*l/` `associate-/l/`
1×	`clear-num` `associate-/r` `frac-2neg` `times-frac` `div-inv` `associate-/l`

Counts

4 → 117

Calls

4 calls:

52.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0)))
14.0ms	(- (exp (* b eps)) 1.0)
15.0ms	(- (exp (* a eps)) 1.0)
12.0ms	(- (exp (* (+ a b) eps)) 1.0)

series363.0ms

Counts

4 → 12

Calls

4 calls:

232.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (- (exp (* b eps)) 1.0)))
41.0ms	(- (exp (* b eps)) 1.0)
36.0ms	(- (exp (* a eps)) 1.0)
54.0ms	(- (exp (* (+ a b) eps)) 1.0)

simplify2.0s

Counts

129 → 129

Iterations

Iter	Nodes
done	5001
2	3005
1	626
0	228

prune1.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite26.0ms

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-+` `log1p-expm1-u`

Counts

1 → 34

Calls

1 calls:

25.0ms

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

series13.0ms

Counts

1 → 3

Calls

1 calls:

13.0ms

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

simplify2.6s

Counts

37 → 37

Iterations

Iter	Nodes
done	5000
3	2236
2	439
1	110
0	42

prune250.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 1 expressions with local error:

13.8b

(/ (+ a b) (* a b))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
6×	`add-cbrt-cube` `add-exp-log`
4×	`times-frac` `associate-/l*`
3×	`add-sqr-sqrt` `add-cube-cbrt`
2×	`cbrt-undiv` `div-exp` `distribute-lft-out` `associate-/l/`
1×	`expm1-log1p-u` `pow1` `clear-num` `associate-/r*` `frac-2neg` `flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 27

Calls

1 calls:

35.0ms

(/ (+ a b) (* a b))

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

(/ (+ a b) (* a b))

simplify2.0s

Counts

30 → 30

Iterations

Iter	Nodes
done	5001
3	2232
2	507
1	147
0	57

prune161.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ a b) b)
6.0b	(* (/ 1 a) (/ (+ a b) b))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
40×	`times-frac`
26×	`add-exp-log` `add-cube-cbrt`
16×	`add-cbrt-cube` `associate-r`
13×	`associate-l`
9×	`div-exp`
8×	`prod-exp`
7×	`distribute-lft-out`
6×	`unswap-sqr`
5×	`cbrt-undiv`
4×	`pow1` `cbrt-unprod` `associate-/l*`
3×	`associate-/r*` `div-inv`
2×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp` `associate-/l/`
1×	`frac-times` `clear-num` `frac-2neg` `flip3-+` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `flip-+`

Counts

2 → 96

Calls

2 calls:

29.0ms	(/ (+ a b) b)
67.0ms	(* (/ 1 a) (/ (+ a b) b))

series96.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(/ (+ a b) b)
76.0ms	(* (/ 1 a) (/ (+ a b) b))

simplify1.9s

Counts

102 → 102

Iterations

Iter	Nodes
done	5001
2	3019
1	434
0	144

prune462.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes220.0ms

Accuracy

0% (3.3b remaining)

Error of 3.4b against oracle of 0.1b and baseline of 3.4b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	6

end0.0ms

sample15.1s

Algorithm

intervals

Results

4.4s	2618×	body	2560	valid
4.4s	3414×	body	1280	valid
4.1s	1936×	body	10240	exit
690.0ms	9941×	pre	80	true
638.0ms	1021×	body	640	valid
177.0ms	353×	body	320	valid
46.0ms	455×	body	80	valid
32.0ms	144×	body	160	valid