Details

sample29.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify76.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	33	10
1	79	10
2	210	10
3	483	10
4	910	10
5	1516	10
6	2818	10
7	5001	10

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.5b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.9b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
2.2b	(+ (* (+ x y) z) (* (+ t y) a))
27.6b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite272.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
18×	`add-cube-cbrt`
15×	`times-frac`
13×	`distribute-lft-out`
11×	`add-log-exp`
10×	`associate-*l/`
8×	`add-exp-log` `add-cbrt-cube`
7×	`flip3-+` `flip-+`
6×	`pow1`
5×	`associate-/r*`
4×	`expm1-log1p-u` `associate-l` `frac-add` `log1p-expm1-u`
3×	`fma-neg` `associate-r` `prod-diff` `associate-/l*`
2×	`flip3--` `diff-log` `sum-log` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `fma-def` `frac-2neg` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `associate--l+` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 105

Calls

4 calls:

20.0ms	(* (+ t y) a)
79.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
14.0ms	(+ (* (+ x y) z) (* (+ t y) a))
156.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series664.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (+ t y) a)
86.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
40.0ms	(+ (* (+ x y) z) (* (+ t y) a))
516.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify69.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	564	1186
1	2509	1087
2	5001	1077

prune385.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 10.4b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ (+ x t) y))
1.9b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
2.2b	(+ (* (+ x y) z) (* (+ t y) a))
27.7b	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

rewrite378.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity`
33×	`add-sqr-sqrt`
32×	`times-frac`
26×	`add-cube-cbrt`
21×	`associate-r` `distribute-lft-out`
17×	`add-exp-log`
11×	`add-cbrt-cube` `add-log-exp`
10×	`associate-*l/`
7×	`pow1` `flip3-+` `flip-+`
5×	`associate-/r*`
4×	`expm1-log1p-u` `div-exp` `frac-add` `prod-exp` `associate-/r/` `log1p-expm1-u`
3×	`flip3--` `fma-neg` `associate-l` `prod-diff` `flip--` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `diff-log` `1-exp` `sum-log` `cbrt-unprod` `div-inv`
1×	`+-commutative` `sub-neg` `pow-flip` `fma-def` `frac-2neg` `associate-r/` `pow-prod-down` `associate--l+` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 133

Calls

4 calls:

33.0ms	(/ 1 (+ (+ x t) y))
79.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
14.0ms	(+ (* (+ x y) z) (* (+ t y) a))
248.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

series682.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(/ 1 (+ (+ x t) y))
84.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
40.0ms	(+ (* (+ x y) z) (* (+ t y) a))
508.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

simplify74.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	606	1370
1	2954	1192
2	5001	1143

prune372.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 10.4b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (/ (+ (+ x t) y) (fma z (+ x y) (- (* (+ t y) a) (* y b)))))
0.5b	(- (* (+ t y) a) (* y b))
1.0b	(fma z (+ x y) (- (* (+ t y) a) (* y b)))
27.6b	(/ (+ (+ x t) y) (fma z (+ x y) (- (* (+ t y) a) (* y b))))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity`
132×	`times-frac`
70×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`distribute-lft-out`
22×	`associate-/r*`
17×	`add-exp-log`
11×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`div-inv` `add-log-exp`
5×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`sub-neg` `flip3--` `pow-flip` `flip3-+` `fma-neg` `diff-log` `prod-diff` `associate-/r/` `flip--` `flip-+` `fma-udef` `inv-pow`

Counts

4 → 167

Calls

4 calls:

37.0ms	(/ 1 (/ (+ (+ x t) y) (fma z (+ x y) (- (* (+ t y) a) (* y b)))))
14.0ms	(- (* (+ t y) a) (* y b))
0.0ms	(fma z (+ x y) (- (* (+ t y) a) (* y b)))
64.0ms	(/ (+ (+ x t) y) (fma z (+ x y) (- (* (+ t y) a) (* y b))))

series707.0ms

Counts

4 → 12

Calls

4 calls:

509.0ms	(/ 1 (/ (+ (+ x t) y) (fma z (+ x y) (- (* (+ t y) a) (* y b)))))
25.0ms	(- (* (+ t y) a) (* y b))
85.0ms	(fma z (+ x y) (- (* (+ t y) a) (* y b)))
88.0ms	(/ (+ (+ x t) y) (fma z (+ x y) (- (* (+ t y) a) (* y b))))

simplify64.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	496	2605
1	2228	2401
2	5002	2286

prune355.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 6.5b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* (+ t y) a) (* y b))
0.5b	(/ 1 (fma z (+ x y) (- (* (+ t y) a) (* y b))))
1.0b	(fma z (+ x y) (- (* (+ t y) a) (* y b)))
27.0b	(* (+ (+ x t) y) (/ 1 (fma z (+ x y) (- (* (+ t y) a) (* y b)))))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
20×	`add-cube-cbrt` `times-frac`
17×	`add-exp-log`
13×	`associate-r`
11×	`add-cbrt-cube`
7×	`pow1`
6×	`add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `div-exp` `prod-exp` `log1p-expm1-u`
3×	`associate-/r` `distribute-lft-out` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `flip3-+` `1-exp` `associate-*l/` `cbrt-unprod` `flip-+` `div-inv`
1×	`sub-neg` `flip3--` `pow-flip` `frac-2neg` `fma-neg` `diff-log` `associate-r/` `prod-diff` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `flip--` `fma-udef` `inv-pow`

Counts

4 → 103

Calls

4 calls:

14.0ms	(- (* (+ t y) a) (* y b))
5.0ms	(/ 1 (fma z (+ x y) (- (* (+ t y) a) (* y b))))
0.0ms	(fma z (+ x y) (- (* (+ t y) a) (* y b)))
81.0ms	(* (+ (+ x t) y) (/ 1 (fma z (+ x y) (- (* (+ t y) a) (* y b)))))

series250.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- (* (+ t y) a) (* y b))
52.0ms	(/ 1 (fma z (+ x y) (- (* (+ t y) a) (* y b))))
85.0ms	(fma z (+ x y) (- (* (+ t y) a) (* y b)))
89.0ms	(* (+ (+ x t) y) (/ 1 (fma z (+ x y) (- (* (+ t y) a) (* y b)))))

simplify55.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	386	1147
1	1866	1013
2	5001	981

prune285.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 6.5b

regimes575.0ms

Accuracy

84.4% (3.5b remaining)

Error of 7.8b against oracle of 4.3b and baseline of 26.5b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	32
1	36	32

end0.0ms

sample664.0ms

Algorithm

intervals

Results

320.0ms	7997×	body	80	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	640	valid