Details

sample26.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify100.0ms

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: 25.7b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
0.6b	(+ (* (+ x y) z) (* (+ t y) a))
2.1b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
24.0b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite39.0ms

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:

6.0ms	(* (+ t y) a)
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
9.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
15.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series752.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (+ t y) a)
50.0ms	(+ (* (+ x y) z) (* (+ t y) a))
95.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
587.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify63.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	520	1087
1	2308	1025
2	5003	1025

prune326.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 7.4b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y)) (/ (* y b) (+ (+ x t) y)))
0.6b	(+ (* (+ x y) z) (* (+ t y) a))
9.3b	(/ (* y b) (+ (+ x t) y))
22.5b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
21×	`add-sqr-sqrt` `times-frac`
18×	`distribute-lft-out`
16×	`add-cube-cbrt` `associate-*l/`
14×	`flip3-+` `flip-+`
11×	`add-exp-log` `add-cbrt-cube`
10×	`associate-/r*`
8×	`frac-add` `associate-/r/` `add-log-exp`
6×	`associate-/l/`
4×	`pow1` `div-inv` `associate-/l*`
3×	`cbrt-undiv` `distribute-rgt-out--` `div-exp`
2×	`frac-2neg` `clear-num` `difference-of-squares`
1×	`+-commutative` `sub-neg` `flip3--` `diff-log` `prod-exp` `sum-log` `frac-sub` `flip--` `cbrt-unprod` `distribute-lft-out--` `sub-div`

Counts

4 → 105

Calls

4 calls:

25.0ms	(- (/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y)) (/ (* y b) (+ (+ x t) y)))
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
8.0ms	(/ (* y b) (+ (+ x t) y))
13.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series1.0s

Counts

4 → 12

Calls

4 calls:

690.0ms	(- (/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y)) (/ (* y b) (+ (+ x t) y)))
44.0ms	(+ (* (+ x y) z) (* (+ t y) a))
70.0ms	(/ (* y b) (+ (+ x t) y))
212.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify66.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	562	1293
1	2674	1218
2	5002	1218

prune354.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.2b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y)) (/ y (/ (+ (+ x t) y) b)))
0.6b	(+ (* (+ x y) z) (* (+ t y) a))
7.0b	(/ y (/ (+ (+ x t) y) b))
22.5b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

167×	`*-un-lft-identity`
147×	`times-frac`
91×	`add-sqr-sqrt`
70×	`add-cube-cbrt`
51×	`distribute-lft-out`
24×	`associate-/r*`
16×	`associate-*l/`
11×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
8×	`frac-add` `add-log-exp`
6×	`div-inv` `associate-/l/` `associate-/l*` `difference-of-squares`
4×	`pow1` `cbrt-undiv` `div-exp` `distribute-lft-out--`
3×	`associate-/r/`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `sub-neg` `flip3--` `diff-log` `sum-log` `frac-sub` `flip--`

Counts

4 → 175

Calls

4 calls:

62.0ms	(- (/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y)) (/ y (/ (+ (+ x t) y) b)))
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
9.0ms	(/ y (/ (+ (+ x t) y) b))
13.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series1.1s

Counts

4 → 12

Calls

4 calls:

683.0ms	(- (/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y)) (/ y (/ (+ (+ x t) y) b)))
49.0ms	(+ (* (+ x y) z) (* (+ t y) a))
133.0ms	(/ y (/ (+ (+ x t) y) b))
211.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify84.0ms

Algorithm

egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	767	2092
1	3420	2016
2	5001	2015

prune534.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.9b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y)) (* (/ y (+ (+ x t) y)) b))
0.6b	(+ (* (+ x y) z) (* (+ t y) a))
5.4b	(* (/ y (+ (+ x t) y)) b)
22.5b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

59×	`*-un-lft-identity`
31×	`times-frac`
29×	`add-sqr-sqrt`
24×	`add-cube-cbrt`
21×	`associate-l` `distribute-lft-out`
19×	`associate-*l/`
12×	`flip3-+` `flip-+`
11×	`add-exp-log` `add-cbrt-cube`
8×	`frac-add` `add-log-exp`
6×	`pow1` `associate-/l/`
5×	`associate-/r*`
4×	`associate-/r/`
3×	`associate-r` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `sub-neg` `flip3--` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `sum-log` `*-commutative` `frac-sub` `flip--` `sub-div`

Counts

4 → 112

Calls

4 calls:

15.0ms	(- (/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y)) (* (/ y (+ (+ x t) y)) b))
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
10.0ms	(* (/ y (+ (+ x t) y)) b)
17.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series1.1s

Counts

4 → 12

Calls

4 calls:

679.0ms	(- (/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y)) (* (/ y (+ (+ x t) y)) b))
49.0ms	(+ (* (+ x y) z) (* (+ t y) a))
134.0ms	(* (/ y (+ (+ x t) y)) b)
211.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify68.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	606	1252
1	2681	1177
2	5003	1177

prune532.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.9b

regimes426.0ms

Accuracy

14.7% (18.0b remaining)

Error of 20.9b against oracle of 3.0b and baseline of 24.0b

bsearch286.0ms

Steps

Iters	Range		Point
7	1.1872151958164856e+29	2.8126584417648923e+31	7.017035578887073e+30
8	1.9422239944537146e-100	7.125883875250634e-97	2.4958436030090893e-100
9	3.5115475809882033e-147	4.562536121843358e-141	1.4306594140782865e-141
6	2.839279512733111e-217	2.3935642177345418e-216	5.110498728313817e-217
10	-4.143085460156962e-30	-5.562026185065248e-43	-2.2002211606234215e-41
9	-9.712280864301115e+136	-6.171297704733054e+128	-1.5434332434121114e+134

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	77
1	58	77

end0.0ms

sample639.0ms

Algorithm

intervals

Results

370.0ms	7998×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid