Details

sample37.0ms

Algorithm

intervals

Results

22.0ms

265×

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: 14.8b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y z) t))
4.0b	(/ (* y z) t)
6.7b	(/ (* y b) t)
10.4b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite50.0ms

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:

4.0ms	(+ x (/ (* y z) t))
3.0ms	(/ (* y z) t)
3.0ms	(/ (* y b) t)
36.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series158.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ x (/ (* y z) t))
17.0ms	(/ (* y z) t)
19.0ms	(/ (* y b) t)
93.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify52.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (13.0ms)

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

prune285.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 9.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y z) t))
2.5b	(* y (/ b t))
4.0b	(/ (* y z) t)
10.4b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* y (/ b t))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

4.0ms	(+ x (/ (* y z) t))
7.0ms	(* y (/ b t))
3.0ms	(/ (* y z) t)
31.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* y (/ b t))))

series158.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ x (/ (* y z) t))
19.0ms	(* y (/ b t))
17.0ms	(/ (* y z) t)
93.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* y (/ b t))))

simplify59.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	519	791
1	2261	730
2	5001	730

prune300.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 8.8b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* y z) (/ 1 t)))
2.5b	(* y (/ b t))
4.1b	(* (* y z) (/ 1 t))
10.4b	(/ (+ x (* (* y z) (/ 1 t))) (+ (+ a 1.0) (* y (/ b t))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-exp-log`
32×	`add-sqr-sqrt`
28×	`times-frac`
27×	`add-cube-cbrt` `*-un-lft-identity`
26×	`associate-r`
23×	`add-cbrt-cube`
14×	`prod-exp`
11×	`pow1`
8×	`cbrt-unprod`
6×	`div-exp` `add-log-exp`
4×	`cbrt-undiv` `flip3-+` `associate-r/` `associate-l*` `pow-prod-down` `associate-/r/` `flip-+`
3×	`associate-/r` `div-inv` `associate-/l`
2×	`rec-exp` `1-exp` `frac-add` `*-commutative` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `clear-num` `sum-log` `un-div-inv`

Counts

4 → 114

Calls

4 calls:

2.0ms	(+ x (* (* y z) (/ 1 t)))
7.0ms	(* y (/ b t))
10.0ms	(* (* y z) (/ 1 t))
22.0ms	(/ (+ x (* (* y z) (/ 1 t))) (+ (+ a 1.0) (* y (/ b t))))

series158.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ x (* (* y z) (/ 1 t)))
19.0ms	(* y (/ b t))
19.0ms	(* (* y z) (/ 1 t))
93.0ms	(/ (+ x (* (* y z) (/ 1 t))) (+ (+ a 1.0) (* y (/ b t))))

simplify77.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	645	895
1	3059	790
2	5001	770

prune332.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 8.8b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (+ (+ a 1.0) (* y (/ b t))))
2.5b	(* y (/ b t))
4.1b	(* (* y z) (/ 1 t))
10.4b	(* (+ x (* (* y z) (/ 1 t))) (/ 1 (+ (+ a 1.0) (* y (/ b t)))))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 149

Calls

4 calls:

17.0ms	(/ 1 (+ (+ a 1.0) (* y (/ b t))))
10.0ms	(* y (/ b t))
10.0ms	(* (* y z) (/ 1 t))
43.0ms	(* (+ x (* (* y z) (/ 1 t))) (/ 1 (+ (+ a 1.0) (* y (/ b t)))))

series186.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(/ 1 (+ (+ a 1.0) (* y (/ b t))))
19.0ms	(* y (/ b t))
17.0ms	(* (* y z) (/ 1 t))
96.0ms	(* (+ x (* (* y z) (/ 1 t))) (/ 1 (+ (+ a 1.0) (* y (/ b t)))))

simplify94.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	755	1198
1	3906	1039
2	5001	992

prune373.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 8.8b

regimes275.0ms

Accuracy

20.1% (5.6b remaining)

Error of 16.1b against oracle of 10.5b and baseline of 17.5b

bsearch68.0ms

Steps

Iters	Range		Point
9	-70571994495.02773	-5726.9977552392365	-1812207.1622636712

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	17
1	34	17

end0.0ms

sample1000.0ms

Algorithm

intervals

Results

718.0ms

8304×

body

valid