Details

sample26.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify68.0ms

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: 25.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
0.7b	(+ (* (+ x y) z) (* (+ t y) a))
1.8b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
23.6b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite138.0ms

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:

9.0ms	(* (+ x y) z)
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
39.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
81.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series778.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (+ x y) z)
51.0ms	(+ (* (+ x y) z) (* (+ t y) a))
100.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
606.0ms	(/ (- (+ (* (+ 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	568	1186
1	2526	1087
2	5001	1076

prune604.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 8.4b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
0.7b	(+ (* (+ x y) z) (* (+ t y) a))
1.8b	(- (* 1 (+ (* (+ x y) z) (* (+ t y) a))) (* y b))
23.6b	(/ (- (* 1 (+ (* (+ x y) z) (* (+ t y) a))) (* y b)) (+ (+ x t) y))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

9.0ms	(* (+ x y) z)
5.0ms	(+ (* (+ x y) z) (* (+ t y) a))
13.0ms	(- (* 1 (+ (* (+ x y) z) (* (+ t y) a))) (* y b))
40.0ms	(/ (- (* 1 (+ (* (+ x y) z) (* (+ t y) a))) (* y b)) (+ (+ x t) y))

series752.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (+ x y) z)
48.0ms	(+ (* (+ x y) z) (* (+ t y) a))
96.0ms	(- (* 1 (+ (* (+ x y) z) (* (+ t y) a))) (* y b))
588.0ms	(/ (- (* 1 (+ (* (+ x y) z) (* (+ t y) a))) (* y b)) (+ (+ x t) y))

simplify73.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	591	1203
1	2860	1103
2	5001	1087

prune367.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 8.4b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (+ (+ x t) y) (fma z (+ x y) (- (* (+ t y) a) (* y b)))))
0.3b	(fma z (+ x y) (- (* (+ t y) a) (* y b)))
1.2b	(- (* (+ t y) a) (* y b))
23.6b	(/ (+ (+ x t) y) (fma z (+ x y) (- (* (+ t y) a) (* y b))))

rewrite65.0ms

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:

20.0ms	(/ 1 (/ (+ (+ x t) y) (fma z (+ x y) (- (* (+ t y) a) (* y b)))))
0.0ms	(fma z (+ x y) (- (* (+ t y) a) (* y b)))
5.0ms	(- (* (+ t y) a) (* y b))
33.0ms	(/ (+ (+ x t) y) (fma z (+ x y) (- (* (+ t y) a) (* y b))))

series792.0ms

Counts

4 → 12

Calls

4 calls:

568.0ms	(/ 1 (/ (+ (+ x t) y) (fma z (+ x y) (- (* (+ t y) a) (* y b)))))
99.0ms	(fma z (+ x y) (- (* (+ t y) a) (* y b)))
29.0ms	(- (* (+ t y) a) (* y b))
96.0ms	(/ (+ (+ x t) y) (fma z (+ x y) (- (* (+ t y) a) (* y b))))

simplify63.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 2 (41.0ms)

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

prune367.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 3.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
0.7b	(+ (* (+ x y) z) (* (+ t y) a))
1.8b	(- (* 1 (+ (* (+ x y) z) (* (+ t y) a))) (* y b))
23.7b	(* (- (* 1 (+ (* (+ x y) z) (* (+ t y) a))) (* y b)) (/ 1 (+ (+ x t) y)))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
24×	`associate-r`
17×	`times-frac`
16×	`add-cube-cbrt`
15×	`add-exp-log`
12×	`associate-*l/`
11×	`add-cbrt-cube`
10×	`distribute-lft-out`
8×	`pow1` `add-log-exp`
7×	`flip3-+` `associate-l` `flip-+`
5×	`prod-exp`
4×	`expm1-log1p-u` `frac-add` `log1p-expm1-u` `unswap-sqr`
3×	`flip3--` `flip--` `cbrt-unprod`
2×	`frac-times` `div-exp` `pow-prod-down` `associate--l+` `associate-/r/` `*-commutative`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `sub-neg` `rec-exp` `fma-def` `distribute-lft-in` `fma-neg` `diff-log` `1-exp` `associate-*r/` `prod-diff` `sum-log` `un-div-inv` `div-inv`

Counts

4 → 109

Calls

4 calls:

9.0ms	(* (+ x y) z)
5.0ms	(+ (* (+ x y) z) (* (+ t y) a))
13.0ms	(- (* 1 (+ (* (+ x y) z) (* (+ t y) a))) (* y b))
80.0ms	(* (- (* 1 (+ (* (+ x y) z) (* (+ t y) a))) (* y b)) (/ 1 (+ (+ x t) y)))

series739.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (+ x y) z)
49.0ms	(+ (* (+ x y) z) (* (+ t y) a))
95.0ms	(- (* 1 (+ (* (+ x y) z) (* (+ t y) a))) (* y b))
574.0ms	(* (- (* 1 (+ (* (+ x y) z) (* (+ t y) a))) (* y b)) (/ 1 (+ (+ x t) y)))

simplify79.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	671	1219
1	3217	1052
2	5002	1039

prune362.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 3.5b

regimes574.0ms

Accuracy

87.2% (2.9b remaining)

Error of 7.3b against oracle of 4.4b and baseline of 26.9b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	33
1	45	33
2	45	33

end0.0ms

sample642.0ms

Algorithm

intervals

Results

361.0ms	7998×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid