Details

sample26.0ms

Algorithm

intervals

Results

11.0ms

268×

body

valid

simplify10.0ms

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: 16.8b

localize17.0ms

Local error

Found 3 expressions with local error:

4.6b	(/ (* y z) t)
6.7b	(/ (* y b) t)
12.5b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

55×	`*-un-lft-identity`
26×	`times-frac`
21×	`distribute-lft-out`
18×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r*`
6×	`associate-/l*`
5×	`cbrt-undiv` `div-exp`
4×	`associate-/r/`
3×	`pow1` `frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv` `add-log-exp`
2×	`frac-add` `prod-exp` `cbrt-unprod` `associate-/l/`

Counts

3 → 89

Calls

3 calls:

3.0ms	(/ (* y z) t)
3.0ms	(/ (* y b) t)
32.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series135.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(/ (* y z) t)
18.0ms	(/ (* y b) t)
95.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify51.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	432	769
1	1895	710
2	5001	710

prune274.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 12.1b

localize12.0ms

Local error

Found 3 expressions with local error:

3.4b	(* y (/ b t))
4.6b	(/ (* y z) t)
12.5b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* y (/ b t))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 90

Calls

3 calls:

7.0ms	(* y (/ b t))
3.0ms	(/ (* y z) t)
27.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* y (/ b t))))

series135.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(* y (/ b t))
22.0ms	(/ (* y z) t)
94.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* y (/ b t))))

simplify55.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	496	717
1	2212	658
2	5001	658

prune268.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 10.9b

localize11.0ms

Local error

Found 3 expressions with local error:

3.4b	(* y (/ b t))
4.6b	(/ y (/ t z))
12.5b	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (* y (/ b t))))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

97×	`times-frac`
70×	`*-un-lft-identity`
67×	`add-sqr-sqrt`
62×	`add-cube-cbrt`
16×	`associate-/r*`
15×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
7×	`div-inv` `associate-/l*`
5×	`pow1` `cbrt-undiv` `div-exp` `associate-/r/`
4×	`distribute-lft-out`
3×	`flip3-+` `associate-r/` `associate-l*` `flip-+` `add-log-exp`
2×	`frac-2neg` `frac-add` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`pow-prod-down` `*-commutative`

Counts

3 → 139

Calls

3 calls:

8.0ms	(* y (/ b t))
4.0ms	(/ y (/ t z))
61.0ms	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (* y (/ b t))))

series266.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(* y (/ b t))
23.0ms	(/ y (/ t z))
225.0ms	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (* y (/ b t))))

simplify68.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	695	1082
1	2983	1018
2	5001	1017

prune439.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 10.9b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 1 (/ (/ t z) y))
3.4b	(* y (/ b t))
4.5b	(/ (/ t z) y)
12.5b	(/ (+ x (/ 1 (/ (/ t z) y))) (+ (+ a 1.0) (* y (/ b t))))

rewrite198.0ms

Algorithm

rewrite-expression-head

Rules

493×	`times-frac`
260×	`*-un-lft-identity`
253×	`add-sqr-sqrt`
248×	`add-cube-cbrt`
49×	`associate-/r*`
37×	`add-exp-log`
28×	`div-inv`
25×	`add-cbrt-cube`
21×	`associate-/l*`
20×	`div-exp`
13×	`associate-r`
11×	`cbrt-undiv`
8×	`distribute-lft-out`
7×	`pow1`
5×	`associate-/r/`
4×	`add-log-exp`
3×	`rec-exp` `frac-2neg` `flip3-+` `1-exp` `associate-r/` `associate-l*` `clear-num` `flip-+` `associate-/l/`
2×	`frac-add` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 343

Calls

4 calls:

12.0ms	(/ 1 (/ (/ t z) y))
7.0ms	(* y (/ b t))
6.0ms	(/ (/ t z) y)
150.0ms	(/ (+ x (/ 1 (/ (/ t z) y))) (+ (+ a 1.0) (* y (/ b t))))

series167.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ 1 (/ (/ t z) y))
19.0ms	(* y (/ b t))
20.0ms	(/ (/ t z) y)
103.0ms	(/ (+ x (/ 1 (/ (/ t z) y))) (+ (+ a 1.0) (* y (/ b t))))

simplify57.0ms

Algorithm

egg-herbie

Counts

355 → 355

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1378	3102
1	5002	2759

prune1.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 10.9b

regimes343.0ms

Accuracy

20.8% (4.5b remaining)

Error of 15.5b against oracle of 11.0b and baseline of 16.7b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	54
1	52	54
2	52	54

end0.0ms

sample735.0ms

Algorithm

intervals

Results

404.0ms

8287×

body

valid