Details

sample206.0ms

Algorithm

intervals

Results

103.0ms	119×	body	1280	valid
34.0ms	62×	body	640	valid
21.0ms	256×	pre	80	true
11.0ms	17×	body	160	valid
6.0ms	17×	body	320	valid
5.0ms	41×	body	80	valid

simplify24.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 14.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b	(+ x (- (tan (+ y z)) (tan a)))
0.1b	(- (tan (+ y z)) (tan a))
4.7b	(tan (+ y z))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
18×	`prod-diff`
17×	`add-cube-cbrt`
11×	`associate-+r+`
10×	`add-log-exp`
4×	`tan-quot`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `fma-def` `fma-neg` `add-cbrt-cube` `log1p-expm1-u`
2×	`sub-neg` `tan-sum` `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 → 72

Calls

3 calls:

10.0ms	(+ x (- (tan (+ y z)) (tan a)))
15.0ms	(- (tan (+ y z)) (tan a))
3.0ms	(tan (+ y z))

series311.0ms

Counts

3 → 9

Calls

3 calls:

133.0ms	(+ x (- (tan (+ y z)) (tan a)))
123.0ms	(- (tan (+ y z)) (tan a))
55.0ms	(tan (+ y z))

simplify103.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 3 (95.0ms)

Iter	Nodes	Cost
0	276	685
1	732	540
2	3128	507
3	5001	488

prune248.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

151×	`*-un-lft-identity`
108×	`prod-diff`
107×	`add-sqr-sqrt`
100×	`add-cube-cbrt`
85×	`times-frac`
56×	`associate-+r+`
24×	`distribute-lft-out`
18×	`fma-neg`
14×	`associate-/r/`
13×	`add-log-exp`
8×	`flip3--` `flip--`
7×	`tan-quot` `div-inv`
6×	`pow1` `add-exp-log` `fma-def` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-r` `associate-l` `sum-log`
2×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `flip-+` `distribute-lft-out--` `difference-of-squares`
1×	`frac-times` `associate-+r-` `associate-r/` `pow-prod-down` `associate-l/` `frac-add` `prod-exp` `*-commutative` `frac-sub` `cbrt-unprod` `unswap-sqr`

Counts

4 → 207

Calls

4 calls:

84.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
3.0ms	(+ (tan y) (tan z))
54.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
5.0ms	(* (tan y) (tan z))

series991.0ms

Counts

4 → 12

Calls

4 calls:

375.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
99.0ms	(+ (tan y) (tan z))
414.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
102.0ms	(* (tan y) (tan z))

simplify84.0ms

Algorithm

egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	676	4072
1	2087	3376
2	5001	3265

prune699.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma (tan y) (tan z) 1)
0.2b	(* (* (tan y) (tan z)) (* (tan y) (tan z)))
0.2b	(* (tan y) (tan z))
0.2b	(* (tan y) (tan z))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

47×	`pow1`
40×	`tan-quot`
20×	`add-exp-log` `add-cbrt-cube`
19×	`frac-times` `pow-prod-down`
13×	`associate-r/` `associate-l/`
12×	`add-sqr-sqrt`
10×	`prod-exp` `cbrt-unprod`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `pow-sqr` `pow-prod-up` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`pow-plus` `unswap-sqr`
1×	`pow2` `swap-sqr` `fma-udef`

Counts

4 → 107

Calls

4 calls:

0.0ms	(fma (tan y) (tan z) 1)
21.0ms	(* (* (tan y) (tan z)) (* (tan y) (tan z)))
5.0ms	(* (tan y) (tan z))
5.0ms	(* (tan y) (tan z))

series447.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(fma (tan y) (tan z) 1)
131.0ms	(* (* (tan y) (tan z)) (* (tan y) (tan z)))
101.0ms	(* (tan y) (tan z))
101.0ms	(* (tan y) (tan z))

simplify51.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	340	741
1	1492	625
2	5001	604

prune511.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (tan z)) (cbrt (tan z)))
0.6b	(cbrt (tan z))
0.6b	(cbrt (tan z))
0.6b	(cbrt (tan z))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
7×	`tan-quot` `cbrt-div`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

8.0ms	(* (cbrt (tan z)) (cbrt (tan z)))
5.0ms	(cbrt (tan z))
1.0ms	(cbrt (tan z))
1.0ms	(cbrt (tan z))

series552.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(* (cbrt (tan z)) (cbrt (tan z)))
136.0ms	(cbrt (tan z))
130.0ms	(cbrt (tan z))
132.0ms	(cbrt (tan z))

simplify79.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	176	527
1	546	490
2	2172	458
3	5001	454

prune528.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes271.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	32
1	42	32
2	44	32
3	44	32

end0.0ms

sample6.4s

Algorithm

intervals

Results

3.5s	3897×	body	1280	valid
1.3s	2025×	body	640	valid
656.0ms	8000×	pre	80	true
269.0ms	670×	body	320	valid
141.0ms	1122×	body	80	valid
75.0ms	286×	body	160	valid