Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

278×

body

valid

simplify84.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	5
1	38	5
2	52	5
3	80	5
4	108	5
5	157	5
6	589	5
7	4617	5
8	5002	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.6b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- t (* a z))
0.0b	(- x (* y z))
13.2b	(/ (- x (* y z)) (- t (* a z)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube`
4×	`flip3--` `flip--`
3×	`pow1` `associate-/r` `associate-/l`
2×	`sub-neg` `diff-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

3 → 56

Calls

3 calls:

2.0ms	(- t (* a z))
2.0ms	(- x (* y z))
7.0ms	(/ (- x (* y z)) (- t (* a z)))

series120.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(- t (* a z))
34.0ms	(- x (* y z))
55.0ms	(/ (- x (* y z)) (- t (* a z)))

simplify83.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	251	407
1	852	375
2	3301	375
3	5001	375

prune177.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 13.2b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- t (* a z))
0.0b	(- x (* y z))
13.2b	(/ (- x (* y z)) (pow (- t (* a z)) 1))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

21×	`times-frac`
19×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`unpow-prod-down`
8×	`add-exp-log`
7×	`associate-/r*` `add-log-exp`
5×	`add-cbrt-cube`
4×	`sqr-pow`
3×	`pow1` `flip3--` `div-exp` `flip--` `associate-/l*`
2×	`sub-neg` `diff-log` `associate-/l/`
1×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `div-sub` `pow-exp` `clear-num` `div-inv`

Counts

3 → 72

Calls

3 calls:

2.0ms	(- t (* a z))
2.0ms	(- x (* y z))
10.0ms	(/ (- x (* y z)) (pow (- t (* a z)) 1))

series116.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(- t (* a z))
31.0ms	(- x (* y z))
54.0ms	(/ (- x (* y z)) (pow (- t (* a z)) 1))

simplify39.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	312	625
1	1187	556
2	5001	550

prune182.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 8.4b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ x (pow (- t (* a z)) 1)) (/ y (/ (- t (* a z)) z)))
2.7b	(/ y (/ (- t (* a z)) z))
4.3b	(/ x (pow (- t (* a z)) 1))
9.3b	(/ (- t (* a z)) z)

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

128×	`times-frac`
112×	`add-sqr-sqrt`
76×	`*-un-lft-identity`
70×	`add-cube-cbrt`
23×	`associate-/r*`
16×	`add-exp-log`
15×	`unpow-prod-down`
13×	`add-cbrt-cube`
12×	`difference-of-squares`
9×	`associate-/l*`
7×	`div-exp` `div-inv` `sqr-pow`
6×	`add-log-exp`
5×	`cbrt-undiv`
4×	`pow1`
3×	`frac-2neg` `clear-num`
2×	`flip3--` `flip--` `associate-/l/` `distribute-lft-out--`
1×	`pow-to-exp` `sub-neg` `diff-log` `div-sub` `pow-exp` `associate-/r/` `frac-sub`

Counts

4 → 172

Calls

4 calls:

78.0ms	(- (/ x (pow (- t (* a z)) 1)) (/ y (/ (- t (* a z)) z)))
6.0ms	(/ y (/ (- t (* a z)) z))
9.0ms	(/ x (pow (- t (* a z)) 1))
10.0ms	(/ (- t (* a z)) z)

series213.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(- (/ x (pow (- t (* a z)) 1)) (/ y (/ (- t (* a z)) z)))
47.0ms	(/ y (/ (- t (* a z)) z))
36.0ms	(/ x (pow (- t (* a z)) 1))
35.0ms	(/ (- t (* a z)) z)

simplify74.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	638	1696
1	2786	1548
2	5001	1544

prune493.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- t (* a z))
0.0b	(- (/ x (pow (- t (* a z)) 1)) (/ y (- (/ t z) (/ a 1))))
2.7b	(/ y (- (/ t z) (/ a 1)))
4.3b	(/ x (pow (- t (* a z)) 1))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

128×	`add-sqr-sqrt`
104×	`times-frac`
79×	`*-un-lft-identity`
36×	`add-cube-cbrt`
32×	`difference-of-squares`
18×	`associate-/r*`
14×	`unpow-prod-down`
12×	`distribute-lft-out--`
11×	`add-exp-log`
8×	`add-cbrt-cube` `add-log-exp`
6×	`associate-/l*` `sqr-pow`
4×	`pow1` `div-exp`
3×	`flip3--` `associate-/r/` `flip--`
2×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `clear-num` `frac-sub` `div-inv`
1×	`pow-to-exp` `pow-exp`

Counts

4 → 143

Calls

4 calls:

2.0ms	(- t (* a z))
106.0ms	(- (/ x (pow (- t (* a z)) 1)) (/ y (- (/ t z) (/ a 1))))
29.0ms	(/ y (- (/ t z) (/ a 1)))
7.0ms	(/ x (pow (- t (* a z)) 1))

series181.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- t (* a z))
78.0ms	(- (/ x (pow (- t (* a z)) 1)) (/ y (- (/ t z) (/ a 1))))
34.0ms	(/ y (- (/ t z) (/ a 1)))
36.0ms	(/ x (pow (- t (* a z)) 1))

simplify65.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	525	1390
1	1817	1292
2	5002	1266

prune348.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.1b

regimes200.0ms

Accuracy

0% (1.5b remaining)

Error of 2.9b against oracle of 1.4b and baseline of 2.9b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	9
1	21	9
2	21	9

end0.0ms

sample541.0ms

Algorithm

intervals

Results

268.0ms

8718×

body

valid