Details

sample202.0ms

Algorithm

intervals

Results

102.0ms	124×	body	1280	valid
31.0ms	62×	body	640	valid
25.0ms	256×	pre	80	true
14.0ms	23×	body	320	valid
5.0ms	37×	body	80	valid
3.0ms	10×	body	160	valid

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	5
1	22	5
2	33	5
3	39	5
4	50	5
5	70	5
6	99	5
7	124	5
8	166	5
9	259	5
10	260	5
11	260	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.8b

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(- (tan (+ y z)) (tan a))
0.2b	(+ x (- (tan (+ y z)) (tan a)))
4.2b	(tan (+ y z))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity` `add-log-exp`
5×	`add-sqr-sqrt`
4×	`tan-quot`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
2×	`sub-neg` `tan-sum` `associate-+r+` `diff-log` `sum-log` `frac-sub` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+r-` `flip3--` `flip3-+` `flip--` `flip-+` `difference-of-squares`

Counts

3 → 42

Calls

3 calls:

8.0ms	(- (tan (+ y z)) (tan a))
13.0ms	(+ x (- (tan (+ y z)) (tan a)))
3.0ms	(tan (+ y z))

series489.0ms

Counts

3 → 9

Calls

3 calls:

319.0ms	(- (tan (+ y z)) (tan a))
120.0ms	(+ x (- (tan (+ y z)) (tan a)))
50.0ms	(tan (+ y z))

simplify41.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	196	346
1	467	335
2	1316	334
3	5002	334

prune152.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (tan y) (tan z))
0.2b	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
0.2b	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
0.2b	(* (tan y) (tan z))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
13×	`add-sqr-sqrt` `add-log-exp`
7×	`tan-quot`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`associate-r` `associate-l` `sum-log` `distribute-lft-out`
2×	`+-commutative` `sub-neg` `associate-+r+` `flip3-+` `diff-log` `flip-+` `distribute-lft-out--` `difference-of-squares`
1×	`frac-times` `associate-+r-` `flip3--` `times-frac` `associate-r/` `pow-prod-down` `associate-l/` `frac-add` `prod-exp` `*-commutative` `frac-sub` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

4 → 67

Calls

4 calls:

3.0ms	(+ (tan y) (tan z))
41.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
74.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
5.0ms	(* (tan y) (tan z))

series899.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(+ (tan y) (tan z))
377.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
341.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
90.0ms	(* (tan y) (tan z))

simplify78.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	367	860
1	1074	821
2	3057	814
3	5001	814

prune288.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
0.2b	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
0.2b	(* (tan y) (tan z))
2.4b	(exp (+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))))

rewrite369.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
17×	`add-log-exp`
14×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`tan-quot` `exp-prod`
4×	`sum-log` `distribute-lft-out`
3×	`diff-log` `associate-r` `associate-l` `rem-exp-log` `distribute-lft-out--`
2×	`associate-+r-` `sub-neg` `associate-+r+` `difference-of-squares`
1×	`+-commutative` `frac-times` `flip3--` `flip3-+` `times-frac` `exp-diff` `associate-r/` `exp-sum` `pow-prod-down` `associate-l/` `prod-exp` `*-commutative` `frac-sub` `flip--` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

40.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
72.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
5.0ms	(* (tan y) (tan z))
250.0ms	(exp (+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))))

series1.2s

Counts

4 → 12

Calls

4 calls:

381.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
339.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
91.0ms	(* (tan y) (tan z))
417.0ms	(exp (+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))))

simplify76.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	333	1021
1	989	959
2	3279	952
3	5001	952

prune344.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (tan y) (tan z))
0.3b	(exp (tan a))
0.3b	(* (exp x) (/ (exp (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))) (exp (tan a))))
0.4b	(exp (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
24×	`exp-prod`
23×	`add-cube-cbrt`
22×	`times-frac`
16×	`associate-r`
11×	`add-cbrt-cube`
8×	`pow1`
7×	`add-exp-log`
6×	`associate-l` `add-log-exp`
4×	`tan-quot`
3×	`prod-exp` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-/r/` `-commutative` `div-inv` `rem-exp-log`
1×	`cbrt-undiv` `frac-times` `flip3--` `div-exp` `associate-*l/` `pow-prod-up` `flip--` `pow-div`

Counts

4 → 91

Calls

4 calls:

5.0ms	(* (tan y) (tan z))
1.0ms	(exp (tan a))
69.0ms	(* (exp x) (/ (exp (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))) (exp (tan a))))
16.0ms	(exp (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))))

series728.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(* (tan y) (tan z))
31.0ms	(exp (tan a))
416.0ms	(* (exp x) (/ (exp (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))) (exp (tan a))))
191.0ms	(exp (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))))

simplify50.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	423	1121
1	1642	995
2	5001	994

prune443.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes284.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	24
1	27	24

end0.0ms

sample6.0s

Algorithm

intervals

Results

3.3s	3916×	body	1280	valid
1.1s	2051×	body	640	valid
771.0ms	8000×	pre	80	true
250.0ms	669×	body	320	valid
159.0ms	1080×	body	80	valid
80.0ms	284×	body	160	valid