Details

sample27.0ms

Algorithm

intervals

Results

10.0ms

267×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 14.4b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (/ (* y b) t))
6.9b	(/ (* y z) t)
7.2b	(/ (* y b) t)
8.1b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite122.0ms

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:

29.0ms	(+ (+ a 1.0) (/ (* y b) t))
11.0ms	(/ (* y z) t)
10.0ms	(/ (* y b) t)
68.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series145.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (+ a 1.0) (/ (* y b) t))
18.0ms	(/ (* y z) t)
17.0ms	(/ (* y b) t)
86.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify51.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 1 (11.0ms)

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

prune298.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 7.3b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
4.0b	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
7.2b	(/ (* y b) t)
8.1b	(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 132

Calls

4 calls:

1.0ms	(cbrt t)
44.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
9.0ms	(/ (* y b) t)
59.0ms	(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ (* y b) t)))

series469.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(cbrt t)
42.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
17.0ms	(/ (* y b) t)
240.0ms	(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ (* y b) t)))

simplify84.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	735	1561
1	3708	1358
2	5001	1310

prune458.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 6.8b

localize22.0ms

Local error

Found 4 expressions with local error:

7.2b	(/ (* y b) t)
8.2b	(cbrt (+ (+ a 1.0) (/ (* y b) t)))
8.2b	(cbrt (+ (+ a 1.0) (/ (* y b) t)))
8.2b	(cbrt (+ (+ a 1.0) (/ (* y b) t)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

10.0ms	(/ (* y b) t)
18.0ms	(cbrt (+ (+ a 1.0) (/ (* y b) t)))
18.0ms	(cbrt (+ (+ a 1.0) (/ (* y b) t)))
21.0ms	(cbrt (+ (+ a 1.0) (/ (* y b) t)))

series440.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/ (* y b) t)
146.0ms	(cbrt (+ (+ a 1.0) (/ (* y b) t)))
136.0ms	(cbrt (+ (+ a 1.0) (/ (* y b) t)))
142.0ms	(cbrt (+ (+ a 1.0) (/ (* y b) t)))

simplify40.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	332	752
1	1185	703
2	5001	685

prune396.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 6.8b

localize20.0ms

Local error

Found 4 expressions with local error:

7.2b	(/ (* y b) t)
8.2b	(cbrt (+ (+ a 1.0) (/ (* y b) t)))
8.2b	(cbrt (+ (+ a 1.0) (/ (* y b) t)))
8.2b	(cbrt (+ (+ a 1.0) (/ (* y b) t)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

10.0ms	(/ (* y b) t)
18.0ms	(cbrt (+ (+ a 1.0) (/ (* y b) t)))
20.0ms	(cbrt (+ (+ a 1.0) (/ (* y b) t)))
18.0ms	(cbrt (+ (+ a 1.0) (/ (* y b) t)))

series429.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/ (* y b) t)
141.0ms	(cbrt (+ (+ a 1.0) (/ (* y b) t)))
134.0ms	(cbrt (+ (+ a 1.0) (/ (* y b) t)))
137.0ms	(cbrt (+ (+ a 1.0) (/ (* y b) t)))

simplify39.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	332	752
1	1185	703
2	5001	685

prune353.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 6.8b

regimes544.0ms

Accuracy

37.8% (4.1b remaining)

Error of 14.4b against oracle of 10.3b and baseline of 16.9b

bsearch73.0ms

Steps

Iters	Range		Point
3	3.5460757390073244e-61	4.8225348562826524e-61	4.10452660281528e-61
8	-1.3192299431227616e-20	-1.0568322916623488e-24	-1.9168339243428134e-24

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	39
1	41	39

end0.0ms

sample714.0ms

Algorithm

intervals

Results

322.0ms

8275×

body

valid