Details

sample25.0ms

Algorithm

intervals

Results

11.0ms

268×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	26	8
1	39	8
2	51	8
3	61	8
4	65	8
5	65	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.8b

localize12.0ms

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)))

rewrite45.0ms

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` `expm1-log1p-u` `frac-2neg` `flip3-+` `clear-num` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`frac-add` `prod-exp` `cbrt-unprod` `associate-/l/`

Counts

3 → 95

Calls

3 calls:

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

series131.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(/ (* y z) t)
19.0ms	(/ (* y b) t)
94.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify50.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	447	799
1	1949	738
2	5002	723

prune287.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 12.1b

localize12.0ms

Local error

Found 3 expressions with local error:

3.2b	(/ y (/ t b))
4.6b	(/ (* y z) t)
12.5b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ y (/ t b))))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

98×	`times-frac`
95×	`*-un-lft-identity`
58×	`add-sqr-sqrt` `add-cube-cbrt`
21×	`associate-/r*` `distribute-lft-out`
15×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
7×	`div-inv`
6×	`cbrt-undiv` `div-exp`
5×	`associate-/r/`
3×	`pow1` `expm1-log1p-u` `frac-2neg` `flip3-+` `clear-num` `flip-+` `log1p-expm1-u` `add-log-exp`
2×	`frac-add` `associate-/l/`
1×	`prod-exp` `cbrt-unprod`

Counts

3 → 144

Calls

3 calls:

5.0ms	(/ y (/ t b))
3.0ms	(/ (* y z) t)
61.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ y (/ t b))))

series135.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(/ y (/ t b))
18.0ms	(/ (* y z) t)
95.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ y (/ t b))))

simplify68.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	664	1166
1	2857	1089
2	5001	1072

prune447.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 9.8b

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))))

rewrite43.0ms

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×	`expm1-log1p-u` `flip3-+` `associate-r/` `associate-l*` `prod-exp` `cbrt-unprod` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`frac-2neg` `frac-add` `clear-num` `associate-/l/` `unswap-sqr`
1×	`pow-prod-down` `*-commutative`

Counts

3 → 96

Calls

3 calls:

7.0ms	(* y (/ b t))
3.0ms	(/ (* y z) t)
30.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* y (/ b t))))

series129.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify60.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	511	747
1	2270	679
2	5002	666

prune298.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 9.8b

localize11.0ms

Local error

Found 3 expressions with local error:

2.9b	(fma (/ y t) z x)
3.2b	(/ y (/ t b))
12.5b	(/ (fma (/ y t) z x) (+ (+ a 1.0) (/ y (/ t b))))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
75×	`*-un-lft-identity`
55×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`associate-/r*`
12×	`distribute-lft-out`
10×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`associate-/r/`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `flip3-+` `frac-add` `clear-num` `flip-+`
1×	`fma-udef`

Counts

3 → 123

Calls

3 calls:

0.0ms	(fma (/ y t) z x)
5.0ms	(/ y (/ t b))
48.0ms	(/ (fma (/ y t) z x) (+ (+ a 1.0) (/ y (/ t b))))

series472.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(fma (/ y t) z x)
20.0ms	(/ y (/ t b))
409.0ms	(/ (fma (/ y t) z x) (+ (+ a 1.0) (/ y (/ t b))))

simplify55.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	532	968
1	2057	915
2	5001	911

prune400.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 9.7b

regimes306.0ms

Accuracy

54.7% (3.1b remaining)

Error of 13.6b against oracle of 10.5b and baseline of 17.4b

bsearch97.0ms

Steps

Iters	Range		Point
6	1.6255775579081118e-118	9.94635182926157e-118	9.46037676463272e-118
8	-1.4280171239812727e-62	-2.2487131061038972e-66	-1.7578574227396968e-64

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	16
1	40	16

end0.0ms

sample629.0ms

Algorithm

intervals

Results

349.0ms

8287×

body

valid