Details

sample27.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify107.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	32	10
1	71	10
2	184	10
3	381	10
4	682	10
5	1102	10
6	2122	10
7	4337	10
8	5001	10

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.2b

localize17.0ms

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))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

10.0ms	(* (+ x y) z)
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
33.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
76.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series759.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (+ x y) z)
51.0ms	(+ (* (+ x y) z) (* (+ t y) a))
98.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
588.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify67.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	523	1089
1	2308	1025
2	5001	1025

prune327.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 8.4b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
0.7b	(+ (* (+ x y) z) (* (+ t y) a))
1.8b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
23.6b	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

152×	`*-un-lft-identity`
138×	`times-frac`
72×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`distribute-lft-out`
24×	`associate-/r*`
17×	`add-exp-log`
11×	`associate-/r/` `add-cbrt-cube` `add-log-exp`
8×	`div-exp` `associate-l/` `associate-/l`
6×	`flip3--` `flip3-+` `flip--` `flip-+` `div-inv`
5×	`pow1`
4×	`cbrt-undiv` `frac-add`
2×	`rec-exp` `frac-2neg` `diff-log` `1-exp` `clear-num` `sum-log` `associate-/l/`
1×	`+-commutative` `sub-neg` `pow-flip` `associate--l+` `inv-pow`

Counts

4 → 176

Calls

4 calls:

55.0ms	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
35.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
60.0ms	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

series807.0ms

Counts

4 → 12

Calls

4 calls:

571.0ms	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
46.0ms	(+ (* (+ x y) z) (* (+ t y) a))
95.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
95.0ms	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

simplify93.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	703	3190
1	3355	2979
2	5002	2861

prune391.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.5b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (sqrt 1) (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
0.7b	(+ (* (+ x y) z) (* (+ t y) a))
1.8b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
23.6b	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

246×	`*-un-lft-identity` `times-frac`
121×	`add-sqr-sqrt` `add-cube-cbrt`
75×	`distribute-lft-out`
66×	`sqrt-prod`
24×	`associate-/r*`
17×	`associate-/r/`
11×	`add-exp-log` `add-cbrt-cube` `associate-/l*` `add-log-exp`
9×	`flip3--` `flip--` `div-inv`
8×	`associate-*l/`
6×	`flip3-+` `flip-+`
4×	`pow1` `cbrt-undiv` `div-exp` `frac-add`
2×	`frac-2neg` `diff-log` `clear-num` `sum-log` `associate-/l/`
1×	`+-commutative` `sub-neg` `associate--l+`

Counts

4 → 236

Calls

4 calls:

57.0ms	(/ (sqrt 1) (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
5.0ms	(+ (* (+ x y) z) (* (+ t y) a))
33.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
63.0ms	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

series828.0ms

Counts

4 → 12

Calls

4 calls:

581.0ms	(/ (sqrt 1) (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
50.0ms	(+ (* (+ x y) z) (* (+ t y) a))
98.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
99.0ms	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

simplify105.0ms

Algorithm

egg-herbie

Counts

248 → 248

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	800	5070
1	3884	4606
2	5001	4287

prune419.0ms

Pruning

12 alts after pruning (11 fresh and 1 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	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
23.7b	(* (/ 1 (+ (+ x t) y)) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

10.0ms	(* (+ x y) z)
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
34.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
113.0ms	(* (/ 1 (+ (+ x t) y)) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

series753.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (+ x y) z)
46.0ms	(+ (* (+ x y) z) (* (+ t y) a))
98.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
585.0ms	(* (/ 1 (+ (+ x t) y)) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

simplify75.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	625	1226
1	3029	1113
2	5001	1103

prune300.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 3.5b

regimes464.0ms

Accuracy

50.9% (11.1b remaining)

Error of 15.5b against oracle of 4.4b and baseline of 27.0b

bsearch95.0ms

Steps

Iters	Range		Point
8	2.6683347110001497e+63	8.729355602345987e+66	2.1773085049135326e+64
8	-1.2294333374423815e+100	-3.0014895666214785e+96	-4.25304723744275e+96

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	14
1	41	14

end0.0ms

sample672.0ms

Algorithm

intervals

Results

394.0ms	7998×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid