Details

sample27.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify99.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 23.8b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
1.3b	(+ (* (+ x y) z) (* (+ t y) a))
2.2b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
22.3b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite272.0ms

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:

21.0ms	(* (+ x y) z)
15.0ms	(+ (* (+ x y) z) (* (+ t y) a))
73.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
160.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series666.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (+ x y) z)
41.0ms	(+ (* (+ x y) z) (* (+ t y) a))
84.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
520.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify61.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (13.0ms)

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

prune286.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 8.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
1.3b	(+ (* (+ x y) z) (* (+ t y) a))
8.6b	(/ (* y b) (+ (+ x t) y))
20.0b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

19.0ms	(* (+ x y) z)
14.0ms	(+ (* (+ x y) z) (* (+ t y) a))
38.0ms	(/ (* y b) (+ (+ x t) y))
72.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series314.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (+ x y) z)
44.0ms	(+ (* (+ x y) z) (* (+ t y) a))
61.0ms	(/ (* y b) (+ (+ x t) y))
190.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify64.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	538	1000
1	2671	922
2	5002	922

prune323.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 6.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
1.3b	(+ (* (+ x y) z) (* (+ t y) a))
6.8b	(* y (/ b (+ (+ x t) y)))
20.0b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
33×	`add-sqr-sqrt`
31×	`times-frac`
26×	`add-cube-cbrt`
24×	`associate-r`
22×	`distribute-lft-out`
18×	`associate-*l/`
13×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
8×	`pow1` `frac-add`
7×	`associate-l`
6×	`associate-/l/` `add-log-exp`
5×	`associate-/r*`
4×	`associate-/r/`
3×	`prod-exp` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`+-commutative` `frac-2neg` `associate-*r/` `clear-num` `sum-log`

Counts

4 → 119

Calls

4 calls:

20.0ms	(* (+ x y) z)
14.0ms	(+ (* (+ x y) z) (* (+ t y) a))
73.0ms	(* y (/ b (+ (+ x t) y)))
74.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series315.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (+ x y) z)
42.0ms	(+ (* (+ x y) z) (* (+ t y) a))
64.0ms	(* y (/ b (+ (+ x t) y)))
189.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify69.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	591	1065
1	2934	988
2	5001	988

prune347.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 4.5b

localize19.0ms

Local error

Found 4 expressions with local error:

6.8b	(* y (/ b (+ (+ x t) y)))
20.5b	(cbrt (+ (* (+ x y) z) (* (+ t y) a)))
20.5b	(cbrt (+ (* (+ x y) z) (* (+ t y) a)))
20.5b	(cbrt (+ (* (+ x y) z) (* (+ t y) a)))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
24×	`associate-*l/`
22×	`add-sqr-sqrt`
21×	`associate-r`
18×	`cbrt-div`
17×	`add-cube-cbrt`
16×	`flip3-+` `times-frac` `flip-+`
12×	`frac-add`
9×	`add-exp-log` `cbrt-prod` `add-cbrt-cube` `distribute-lft-out`
6×	`pow1`
4×	`add-log-exp`
3×	`pow1/3` `associate-l`
2×	`prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv`

Counts

4 → 91

Calls

4 calls:

75.0ms	(* y (/ b (+ (+ x t) y)))
10.0ms	(cbrt (+ (* (+ x y) z) (* (+ t y) a)))
10.0ms	(cbrt (+ (* (+ x y) z) (* (+ t y) a)))
10.0ms	(cbrt (+ (* (+ x y) z) (* (+ t y) a)))

series731.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* y (/ b (+ (+ x t) y)))
224.0ms	(cbrt (+ (* (+ x y) z) (* (+ t y) a)))
224.0ms	(cbrt (+ (* (+ x y) z) (* (+ t y) a)))
218.0ms	(cbrt (+ (* (+ x y) z) (* (+ t y) a)))

simplify62.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	541	1120
1	2235	1056
2	5002	1035

prune394.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 4.5b

regimes434.0ms

Accuracy

19.2% (17.4b remaining)

Error of 20.8b against oracle of 3.4b and baseline of 24.9b

bsearch75.0ms

Steps

Iters	Range		Point
4	6.539776408856559e+67	1.3038645461094304e+68	1.0064846682529531e+68
10	-7.946654668042883e+65	-3.4925041929840873e+55	-1.9547543014469886e+64

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	21
1	40	21

end0.0ms

sample697.0ms

Algorithm

intervals

Results

330.0ms	7993×	body	80	valid
0.0ms	3×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	320	valid