Details

sample27.0ms

Algorithm

intervals

Results

11.0ms

266×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	26	8
1	39	8
2	47	8
3	49	8
4	49	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.9b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y z) t))
4.9b	(/ (* y z) t)
5.1b	(/ (* y b) t)
9.7b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
26×	`times-frac`
22×	`distribute-lft-out`
19×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r*`
6×	`associate-/l*` `add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `flip3-+` `associate-/r/` `flip-+`
3×	`frac-2neg` `clear-num` `div-inv`
2×	`frac-add` `prod-exp` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `sum-log`

Counts

4 → 101

Calls

4 calls:

8.0ms	(+ x (/ (* y z) t))
9.0ms	(/ (* y z) t)
9.0ms	(/ (* y b) t)
68.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series184.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ x (/ (* y z) t))
19.0ms	(/ (* y z) t)
24.0ms	(/ (* y b) t)
112.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify49.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	454	843
1	1942	782
2	5001	782

prune296.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 8.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
4.9b	(/ (* y z) t)
4.9b	(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
9.7b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
43×	`times-frac`
39×	`*-un-lft-identity`
32×	`add-exp-log`
31×	`add-cube-cbrt`
25×	`add-cbrt-cube`
22×	`associate-r`
14×	`cbrt-prod`
10×	`cbrt-undiv` `div-exp`
9×	`prod-exp` `cbrt-unprod`
8×	`associate-/r/`
7×	`associate-l`
6×	`pow1` `frac-add` `associate-/r*` `unswap-sqr`
5×	`flip3-+` `flip-+` `associate-/l*`
4×	`div-inv` `distribute-lft-out` `add-log-exp`
3×	`frac-times` `associate-r/` `associate-l/`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`pow1/3` `pow-prod-down` `*-commutative`

Counts

4 → 132

Calls

4 calls:

1.0ms	(cbrt t)
10.0ms	(/ (* y z) t)
44.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
61.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

series394.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt t)
19.0ms	(/ (* y z) t)
54.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
142.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

simplify89.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	785	1567
1	3974	1374
2	5002	1332

prune490.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 8.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ 1 (/ t (* y z)))
4.8b	(/ t (* y z))
5.1b	(/ (* y b) t)
9.7b	(/ (+ x (/ 1 (/ t (* y z)))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

84×	`*-un-lft-identity`
64×	`times-frac`
37×	`add-exp-log`
36×	`add-sqr-sqrt` `add-cube-cbrt`
30×	`distribute-lft-out`
25×	`add-cbrt-cube`
17×	`div-exp`
16×	`associate-/r*`
14×	`div-inv`
12×	`associate-/l*`
10×	`cbrt-undiv`
5×	`pow1` `prod-exp` `associate-/r/`
4×	`frac-2neg` `clear-num` `add-log-exp`
3×	`rec-exp` `flip3-+` `1-exp` `cbrt-unprod` `flip-+`
2×	`frac-add` `associate-/l/`
1×	`pow-flip` `inv-pow`

Counts

4 → 151

Calls

4 calls:

14.0ms	(/ 1 (/ t (* y z)))
7.0ms	(/ t (* y z))
9.0ms	(/ (* y b) t)
95.0ms	(/ (+ x (/ 1 (/ t (* y z)))) (+ (+ a 1.0) (/ (* y b) t)))

series204.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ 1 (/ t (* y z)))
21.0ms	(/ t (* y z))
21.0ms	(/ (* y b) t)
141.0ms	(/ (+ x (/ 1 (/ t (* y z)))) (+ (+ a 1.0) (/ (* y b) t)))

simplify74.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	584	1229
1	2699	1115
2	5002	1075

prune344.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 8.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(/ 1 (/ (+ (+ a 1.0) (/ (* y b) t)) (+ x (/ (* y z) t))))
4.9b	(/ (* y z) t)
5.1b	(/ (* y b) t)
9.7b	(/ (+ (+ a 1.0) (/ (* y b) t)) (+ x (/ (* y z) t)))

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

243×	`*-un-lft-identity`
184×	`times-frac`
89×	`distribute-lft-out`
86×	`add-sqr-sqrt` `add-cube-cbrt`
36×	`associate-/r*`
27×	`add-exp-log`
21×	`add-cbrt-cube`
12×	`div-exp`
11×	`associate-/r/`
10×	`associate-/l*`
8×	`cbrt-undiv` `div-inv`
7×	`flip3-+` `flip-+`
5×	`pow1`
4×	`frac-2neg` `clear-num` `associate-/l/` `add-log-exp`
2×	`rec-exp` `1-exp` `frac-add` `prod-exp` `cbrt-unprod`
1×	`pow-flip` `inv-pow`

Counts

4 → 217

Calls

4 calls:

57.0ms	(/ 1 (/ (+ (+ a 1.0) (/ (* y b) t)) (+ x (/ (* y z) t))))
9.0ms	(/ (* y z) t)
10.0ms	(/ (* y b) t)
95.0ms	(/ (+ (+ a 1.0) (/ (* y b) t)) (+ x (/ (* y z) t)))

series484.0ms

Counts

4 → 12

Calls

4 calls:

361.0ms	(/ 1 (/ (+ (+ a 1.0) (/ (* y b) t)) (+ x (/ (* y z) t))))
20.0ms	(/ (* y z) t)
21.0ms	(/ (* y b) t)
82.0ms	(/ (+ (+ a 1.0) (/ (* y b) t)) (+ x (/ (* y z) t)))

simplify80.0ms

Algorithm

egg-herbie

Counts

229 → 229

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	662	2746
1	3298	2520
2	5001	2381

prune379.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 8.1b

regimes548.0ms

Accuracy

62.8% (2.5b remaining)

Error of 12.7b against oracle of 10.2b and baseline of 16.9b

bsearch2.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	86
1	64	86
2	67	86
3	67	86

end0.0ms

sample715.0ms

Algorithm

intervals

Results

326.0ms

8282×

body

valid