Details

sample170.0ms

Algorithm

intervals

Results

93.0ms	126×	body	1280	valid
28.0ms	53×	body	640	valid
12.0ms	256×	pre	80	true
7.0ms	25×	body	320	valid
4.0ms	47×	body	80	valid
1.0ms	5×	body	160	valid

simplify21.0ms

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: 15.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b	(+ x (- (tan (+ y z)) (tan a)))
0.1b	(- (tan (+ y z)) (tan a))
2.8b	(tan (+ y z))

rewrite25.0ms

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:

14.0ms	(+ x (- (tan (+ y z)) (tan a)))
7.0ms	(- (tan (+ y z)) (tan a))
3.0ms	(tan (+ y z))

series349.0ms

Counts

3 → 9

Calls

3 calls:

150.0ms	(+ x (- (tan (+ y z)) (tan a)))
138.0ms	(- (tan (+ y z)) (tan a))
61.0ms	(tan (+ y z))

simplify42.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (14.0ms)

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

prune159.0ms

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))
0.1b	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
0.1b	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
0.3b	(* (tan y) (tan z))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
13×	`times-frac`
9×	`tan-quot`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`pow1`
5×	`distribute-lft-out`
4×	`associate-/l*`
3×	`associate-r` `associate-l` `associate-/r*` `associate-/l/`
2×	`flip3--` `flip3-+` `frac-add` `associate-/r/` `flip--` `flip-+` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `frac-times` `sub-neg` `frac-2neg` `diff-log` `associate-r/` `div-exp` `pow-prod-down` `associate-l/` `prod-exp` `clear-num` `sum-log` `*-commutative` `frac-sub` `cbrt-unprod` `div-inv` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 86

Calls

4 calls:

3.0ms	(+ (tan y) (tan z))
38.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
11.0ms	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
5.0ms	(* (tan y) (tan z))

series910.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(+ (tan y) (tan z))
441.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
258.0ms	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
100.0ms	(* (tan y) (tan z))

simplify117.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	394	1046
1	1350	1000
2	4363	993
3	5001	993

prune407.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (/ 1 (/ (- 1 (* (tan y) (tan z))) (+ (tan y) (tan z)))) (tan a))
0.2b	(/ (- 1 (* (tan y) (tan z))) (+ (tan y) (tan z)))
0.2b	(/ 1 (/ (- 1 (* (tan y) (tan z))) (+ (tan y) (tan z))))
0.3b	(* (tan y) (tan z))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

123×	`times-frac`
104×	`*-un-lft-identity`
83×	`add-sqr-sqrt`
67×	`add-cube-cbrt`
23×	`associate-/r*`
19×	`add-exp-log`
16×	`associate-/r/` `distribute-lft-out`
15×	`tan-quot`
13×	`add-cbrt-cube`
8×	`div-exp`
7×	`pow1` `div-inv`
6×	`associate-/l*` `add-log-exp`
5×	`flip3-+` `frac-add` `flip-+` `difference-of-squares`
4×	`cbrt-undiv`
3×	`associate-r` `associate-l`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--` `associate-/l/` `distribute-lft-out--`
1×	`frac-times` `sub-neg` `pow-flip` `diff-log` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `prod-exp` `*-commutative` `frac-sub` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

4 → 178

Calls

4 calls:

78.0ms	(- (/ 1 (/ (- 1 (* (tan y) (tan z))) (+ (tan y) (tan z)))) (tan a))
9.0ms	(/ (- 1 (* (tan y) (tan z))) (+ (tan y) (tan z)))
12.0ms	(/ 1 (/ (- 1 (* (tan y) (tan z))) (+ (tan y) (tan z))))
5.0ms	(* (tan y) (tan z))

series1.1s

Counts

4 → 12

Calls

4 calls:

456.0ms	(- (/ 1 (/ (- 1 (* (tan y) (tan z))) (+ (tan y) (tan z)))) (tan a))
316.0ms	(/ (- 1 (* (tan y) (tan z))) (+ (tan y) (tan z)))
248.0ms	(/ 1 (/ (- 1 (* (tan y) (tan z))) (+ (tan y) (tan z))))
108.0ms	(* (tan y) (tan z))

simplify81.0ms

Algorithm

egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	699	2789
1	3013	2504
2	5001	2478

prune577.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (tan y) (tan z))
0.1b	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
0.1b	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
0.3b	(* (tan y) (tan z))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
13×	`times-frac`
9×	`tan-quot`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`pow1`
5×	`distribute-lft-out`
4×	`associate-/l*`
3×	`associate-r` `associate-l` `associate-/r*` `associate-/l/`
2×	`flip3--` `flip3-+` `frac-add` `associate-/r/` `flip--` `flip-+` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `frac-times` `sub-neg` `frac-2neg` `diff-log` `associate-r/` `div-exp` `pow-prod-down` `associate-l/` `prod-exp` `clear-num` `sum-log` `*-commutative` `frac-sub` `cbrt-unprod` `div-inv` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 86

Calls

4 calls:

3.0ms	(+ (tan y) (tan z))
41.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
11.0ms	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
5.0ms	(* (tan y) (tan z))

series937.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(+ (tan y) (tan z))
460.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
253.0ms	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
111.0ms	(* (tan y) (tan z))

simplify124.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	394	1046
1	1350	1000
2	4363	993
3	5001	993

prune375.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes635.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	12
1	20	12

end0.0ms

sample5.2s

Algorithm

intervals

Results

3.2s	3982×	body	1280	valid
889.0ms	1980×	body	640	valid
358.0ms	8000×	pre	80	true
203.0ms	693×	body	320	valid
107.0ms	1076×	body	80	valid
53.0ms	269×	body	160	valid