Details

sample27.0ms

Algorithm

intervals

Results

13.0ms

259×

body

valid

simplify12.0ms

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: 20.6b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (/ (* y b) t))
5.4b	(/ (* y b) t)
5.9b	(/ (* y z) t)
14.4b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

18.0ms	(+ (+ a 1.0) (/ (* y b) t))
3.0ms	(/ (* y b) t)
3.0ms	(/ (* y z) t)
35.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series162.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ (+ a 1.0) (/ (* y b) t))
19.0ms	(/ (* y b) t)
17.0ms	(/ (* y z) t)
98.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify53.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	469	909
1	2102	841
2	5001	841

prune297.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 14.6b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(/ 1 (/ t (* y b)))
5.5b	(/ t (* y b))
5.9b	(/ (* y z) t)
14.4b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ 1 (/ t (* y b)))))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity`
67×	`times-frac`
38×	`distribute-lft-out`
37×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt`
25×	`add-cbrt-cube`
18×	`associate-/r*` `div-inv`
17×	`div-exp`
11×	`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 → 155

Calls

4 calls:

6.0ms	(/ 1 (/ t (* y b)))
3.0ms	(/ t (* y b))
3.0ms	(/ (* y z) t)
50.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ 1 (/ t (* y b)))))

series157.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ 1 (/ t (* y b)))
20.0ms	(/ t (* y b))
17.0ms	(/ (* y z) t)
98.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ 1 (/ t (* y b)))))

simplify70.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	594	1260
1	2799	1112
2	5001	1109

prune358.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 14.6b

localize14.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ 1 (/ t (* y z)))
5.5b	(/ t (* y b))
5.9b	(/ t (* y z))
14.4b	(/ (+ x (/ 1 (/ t (* y z)))) (+ (+ a 1.0) (/ 1 (/ t (* y b)))))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

110×	`*-un-lft-identity`
74×	`times-frac`
52×	`distribute-lft-out`
38×	`add-sqr-sqrt` `add-cube-cbrt`
37×	`add-exp-log`
28×	`div-inv`
25×	`add-cbrt-cube`
17×	`div-exp`
16×	`associate-/r*`
14×	`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 → 163

Calls

4 calls:

6.0ms	(/ 1 (/ t (* y z)))
3.0ms	(/ t (* y b))
3.0ms	(/ t (* y z))
74.0ms	(/ (+ x (/ 1 (/ t (* y z)))) (+ (+ a 1.0) (/ 1 (/ t (* y b)))))

series181.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ 1 (/ t (* y z)))
20.0ms	(/ t (* y b))
19.0ms	(/ t (* y z))
123.0ms	(/ (+ x (/ 1 (/ t (* y z)))) (+ (+ a 1.0) (/ 1 (/ t (* y b)))))

simplify71.0ms

Algorithm

egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	580	1451
1	2625	1291
2	5001	1284

prune335.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 14.6b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(/ 1 (/ t (* y b)))
5.5b	(/ t (* y b))
5.9b	(/ (* y z) t)
14.3b	(* (+ x (/ (* y z) t)) (/ 1 (+ (+ a 1.0) (/ 1 (/ t (* y b))))))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
62×	`times-frac`
44×	`add-exp-log`
43×	`add-sqr-sqrt`
36×	`add-cube-cbrt`
29×	`associate-r`
28×	`add-cbrt-cube`
19×	`distribute-lft-out`
18×	`div-exp`
14×	`div-inv`
11×	`associate-/r*`
10×	`cbrt-undiv`
9×	`prod-exp`
7×	`pow1` `associate-/l*`
5×	`associate-/r/` `cbrt-unprod`
4×	`rec-exp` `flip3-+` `1-exp` `associate-l` `flip-+` `add-log-exp`
3×	`frac-2neg` `clear-num` `unswap-sqr`
2×	`frac-times` `associate-*l/` `frac-add`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 155

Calls

4 calls:

8.0ms	(/ 1 (/ t (* y b)))
3.0ms	(/ t (* y b))
3.0ms	(/ (* y z) t)
100.0ms	(* (+ x (/ (* y z) t)) (/ 1 (+ (+ a 1.0) (/ 1 (/ t (* y b))))))

series154.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ 1 (/ t (* y b)))
20.0ms	(/ t (* y b))
17.0ms	(/ (* y z) t)
96.0ms	(* (+ x (/ (* y z) t)) (/ 1 (+ (+ a 1.0) (/ 1 (/ t (* y b))))))

simplify84.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	715	1144
1	3613	932
2	5001	929

prune346.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 14.6b

regimes287.0ms

Accuracy

20.4% (3.8b remaining)

Error of 15.0b against oracle of 11.1b and baseline of 16.0b

bsearch109.0ms

Steps

Iters	Range		Point
10	8.4806238485168505e-50	1.2745856103065608e-36	3.552288465802439e-40
6	-2.0642702345550467e-23	-2.8264442322646953e-24	-9.71592468019581e-24

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	18
1	43	18

end0.0ms

sample644.0ms

Algorithm

intervals

Results

360.0ms

8274×

body

valid