Details

sample25.0ms

Algorithm

intervals

Results

11.0ms

261×

body

valid

simplify17.0ms

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: 18.8b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y z) t))
4.3b	(/ (* y b) t)
7.1b	(/ (* y z) t)
13.1b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

59×	`*-un-lft-identity`
26×	`times-frac`
22×	`distribute-lft-out`
20×	`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` `expm1-log1p-u` `flip3-+` `associate-/r/` `flip-+` `log1p-expm1-u`
3×	`fma-def` `frac-2neg` `clear-num` `div-inv`
2×	`frac-add` `prod-exp` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `sum-log`

Counts

4 → 112

Calls

4 calls:

4.0ms	(+ x (/ (* y z) t))
4.0ms	(/ (* y b) t)
3.0ms	(/ (* y z) t)
34.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series188.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ x (/ (* y z) t))
21.0ms	(/ (* y b) t)
23.0ms	(/ (* y z) t)
113.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify62.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	472	881
1	2005	817
2	5001	797

prune399.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 12.7b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (/ t z)))
4.3b	(/ (* y b) t)
5.1b	(/ y (/ t z))
13.1b	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

99×	`*-un-lft-identity`
98×	`times-frac`
60×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`distribute-lft-out`
21×	`associate-/r*`
16×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
7×	`div-inv`
6×	`cbrt-undiv` `div-exp` `add-log-exp`
5×	`associate-/r/`
4×	`pow1` `expm1-log1p-u` `flip3-+` `flip-+` `log1p-expm1-u`
3×	`fma-def` `frac-2neg` `clear-num`
2×	`frac-add` `associate-/l/`
1×	`+-commutative` `prod-exp` `sum-log` `cbrt-unprod`

Counts

4 → 161

Calls

4 calls:

17.0ms	(+ x (/ y (/ t z)))
3.0ms	(/ (* y b) t)
5.0ms	(/ y (/ t z))
74.0ms	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

series350.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ x (/ y (/ t z)))
26.0ms	(/ (* y b) t)
21.0ms	(/ y (/ t z))
265.0ms	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

simplify83.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	678	1246
1	2777	1149
2	5001	1138

prune589.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 11.9b

localize12.0ms

Local error

Found 3 expressions with local error:

2.9b	(fma (/ y t) z x)
4.3b	(/ (* y b) t)
13.1b	(/ (fma (/ y t) z x) (+ (+ a 1.0) (/ (* y b) t)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

0.0ms	(fma (/ y t) z x)
3.0ms	(/ (* y b) t)
22.0ms	(/ (fma (/ y t) z x) (+ (+ a 1.0) (/ (* y b) t)))

series522.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(fma (/ y t) z x)
21.0ms	(/ (* y b) t)
459.0ms	(/ (fma (/ y t) z x) (+ (+ a 1.0) (/ (* y b) t)))

simplify49.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	319	601
1	1203	554
2	5001	549

prune275.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 11.9b

localize13.0ms

Local error

Found 3 expressions with local error:

2.9b	(fma (/ y t) z x)
3.9b	(* y (/ b t))
13.1b	(/ (fma (/ y t) z x) (+ (+ a 1.0) (* y (/ b t))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
4×	`associate-/r/`
3×	`expm1-log1p-u` `associate-r/` `associate-l` `associate-/r` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`cbrt-undiv` `flip3-+` `div-exp` `frac-add` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `clear-num` `*-commutative` `fma-udef`

Counts

3 → 77

Calls

3 calls:

0.0ms	(fma (/ y t) z x)
8.0ms	(* y (/ b t))
17.0ms	(/ (fma (/ y t) z x) (+ (+ a 1.0) (* y (/ b t))))

series538.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(fma (/ y t) z x)
21.0ms	(* y (/ b t))
468.0ms	(/ (fma (/ y t) z x) (+ (+ a 1.0) (* y (/ b t))))

simplify54.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	374	579
1	1463	531
2	5001	530

prune281.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 11.9b

regimes441.0ms

Accuracy

44.7% (3.4b remaining)

Error of 13.5b against oracle of 10.1b and baseline of 16.3b

bsearch136.0ms

Steps

Iters	Range		Point
8	6.5479816781439046e-223	5.555982401731457e-220	5.489065528674137e-220
9	-6.031111347935146e+36	-7.221055931686145e+31	-5.328589566752192e+34

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	15
1	39	15

end0.0ms

sample657.0ms

Algorithm

intervals

Results

365.0ms

8291×

body

valid