Details

sample28.0ms

Algorithm

intervals

Results

16.0ms

268×

body

valid

simplify76.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	25	6
1	58	6
2	107	6
3	188	6
4	364	6
5	722	6
6	1067	6
7	1452	6
8	1963	6
9	2143	6
10	2145	6
11	2145	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
0.0b	(/ (+ (- t z) 1.0) a)
11.7b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

239×	`*-un-lft-identity`
203×	`times-frac`
136×	`add-sqr-sqrt`
87×	`add-cube-cbrt`
44×	`distribute-lft-out`
43×	`distribute-lft-out--`
23×	`difference-of-squares`
22×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`associate-+l-` `sub-neg` `flip3-+` `diff-log` `associate-/r/` `flip-+` `associate--r-`

Counts

3 → 192

Calls

3 calls:

60.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
32.0ms	(/ (+ (- t z) 1.0) a)
30.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series245.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
31.0ms	(/ (+ (- t z) 1.0) a)
128.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify75.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	707	1950
1	2629	1888
2	5001	1887

prune449.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
0.0b	(/ (- y z) (+ (- t z) 1.0))
1.1b	(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

104×	`*-un-lft-identity`
54×	`add-sqr-sqrt`
51×	`times-frac`
31×	`associate-l`
27×	`add-cube-cbrt`
22×	`distribute-lft-out` `distribute-lft-out--`
11×	`difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`associate-r`
2×	`cbrt-undiv` `flip3--` `flip3-+` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `flip-+` `div-inv` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

3 → 114

Calls

3 calls:

2.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
22.0ms	(/ (- y z) (+ (- t z) 1.0))
51.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series261.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
49.0ms	(/ (- y z) (+ (- t z) 1.0))
125.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify51.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	436	882
1	1450	824
2	5001	823

prune267.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (* (- y z) (/ 1 (+ (- t z) 1.0))) a))
0.0b	(/ 1 (+ (- t z) 1.0))
0.2b	(* (- y z) (/ 1 (+ (- t z) 1.0)))
1.1b	(* (* (- y z) (/ 1 (+ (- t z) 1.0))) a)

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
34×	`add-sqr-sqrt`
32×	`add-exp-log` `times-frac`
25×	`add-cube-cbrt`
24×	`associate-r`
20×	`add-cbrt-cube`
14×	`distribute-lft-out`
13×	`prod-exp`
12×	`pow1`
10×	`associate-*l/`
8×	`distribute-lft-out--`
7×	`cbrt-unprod`
6×	`div-exp` `associate-l` `add-log-exp`
5×	`flip3--` `associate-/r*` `flip--`
4×	`frac-times` `pow-prod-down` `associate-/r/`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`flip3-+` `associate-r/` `un-div-inv` `-commutative` `flip-+` `div-inv`
1×	`sub-neg` `pow-flip` `frac-2neg` `diff-log` `clear-num` `inv-pow` `difference-of-squares`

Counts

4 → 131

Calls

4 calls:

4.0ms	(- x (* (* (- y z) (/ 1 (+ (- t z) 1.0))) a))
18.0ms	(/ 1 (+ (- t z) 1.0))
49.0ms	(* (- y z) (/ 1 (+ (- t z) 1.0)))
58.0ms	(* (* (- y z) (/ 1 (+ (- t z) 1.0))) a)

series303.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(- x (* (* (- y z) (/ 1 (+ (- t z) 1.0))) a))
37.0ms	(/ 1 (+ (- t z) 1.0))
54.0ms	(* (- y z) (/ 1 (+ (- t z) 1.0)))
124.0ms	(* (* (- y z) (/ 1 (+ (- t z) 1.0))) a)

simplify61.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	510	939
1	2283	794
2	5002	752

prune287.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* (- y z) (/ a (+ (- t z) 1.0))))
0.0b	(/ a (+ (- t z) 1.0))
10.8b	(* (- y z) (/ a (+ (- t z) 1.0)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
31×	`times-frac`
30×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
21×	`associate-r`
14×	`distribute-lft-out`
10×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--`
5×	`pow1` `associate-l` `associate-/r*` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `flip--` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `flip3-+` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `diff-log` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `difference-of-squares`

Counts

3 → 95

Calls

3 calls:

2.0ms	(- x (* (- y z) (/ a (+ (- t z) 1.0))))
17.0ms	(/ a (+ (- t z) 1.0))
51.0ms	(* (- y z) (/ a (+ (- t z) 1.0)))

series194.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(- x (* (- y z) (/ a (+ (- t z) 1.0))))
34.0ms	(/ a (+ (- t z) 1.0))
72.0ms	(* (- y z) (/ a (+ (- t z) 1.0)))

simplify50.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	408	686
1	1779	630
2	5001	630

prune218.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes126.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	7
1	19	7

end0.0ms

sample772.0ms

Algorithm

intervals

Results

517.0ms	8510×	body	80	valid
0.0ms	1×	body	640	valid