Details

sample24.0ms

Algorithm

intervals

Results

13.0ms

326×

body

valid

simplify102.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	3
1	33	3
2	63	3
3	107	3
4	148	3
5	181	3
6	220	3
7	307	3
8	587	3
9	1181	3
10	2314	3
11	3738	3
12	5001	3

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.3b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
7.9b	(* (/ x y) (- z t))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity` `prod-diff`
34×	`add-cube-cbrt`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
13×	`associate-l`
10×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`pow1` `sub-neg` `add-log-exp`
2×	`expm1-log1p-u` `frac-times` `flip3--` `associate-*r/` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `fma-def` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 98

Calls

2 calls:

10.0ms	(+ (* (/ x y) (- z t)) t)
17.0ms	(* (/ x y) (- z t))

series91.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (* (/ x y) (- z t)) t)
58.0ms	(* (/ x y) (- z t))

simplify52.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	468	779
1	1866	547
2	5001	533

prune225.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (/ (- z t) y)) t)
5.9b	(* x (/ (- z t) y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`associate-r`
18×	`*-un-lft-identity`
16×	`times-frac`
12×	`add-cube-cbrt`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-l` `distribute-lft-out--` `difference-of-squares`
2×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `fma-def` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv`

Counts

2 → 54

Calls

2 calls:

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

series84.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ (* x (/ (- z t) y)) t)
46.0ms	(* x (/ (- z t) y))

simplify37.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	278	320
1	1160	296
2	5002	281

prune128.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ 1 1) (/ (* (- z t) x) y)) t)
0.0b	(* (- z t) x)
7.9b	(/ (* (- z t) x) y)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
10×	`add-exp-log` `add-cbrt-cube`
9×	`*-un-lft-identity`
7×	`add-cube-cbrt`
5×	`pow1` `associate-l` `add-log-exp`
4×	`associate-*l/`
3×	`expm1-log1p-u` `times-frac` `associate-r` `associate-/r*` `log1p-expm1-u`
2×	`cbrt-undiv` `flip3--` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `fma-def` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

13.0ms	(+ (* (/ 1 1) (/ (* (- z t) x) y)) t)
13.0ms	(* (- z t) x)
7.0ms	(/ (* (- z t) x) y)

series105.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ (* (/ 1 1) (/ (* (- z t) x) y)) t)
32.0ms	(* (- z t) x)
41.0ms	(/ (* (- z t) x) y)

simplify40.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	314	352
1	1267	300
2	5001	289

prune158.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ 1 1) (/ (- z t) (/ y x))) t)
8.1b	(/ (- z t) (/ y x))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
86×	`add-sqr-sqrt` `*-un-lft-identity`
58×	`add-cube-cbrt`
14×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube` `div-inv`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `associate-/l/`
1×	`+-commutative` `flip3--` `fma-def` `frac-2neg` `flip3-+` `div-sub` `clear-num` `sum-log` `associate-/r/` `flip--` `flip-+`

Counts

2 → 117

Calls

2 calls:

16.0ms	(+ (* (/ 1 1) (/ (- z t) (/ y x))) t)
12.0ms	(/ (- z t) (/ y x))

series79.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (* (/ 1 1) (/ (- z t) (/ y x))) t)
43.0ms	(/ (- z t) (/ y x))

simplify60.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	634	988
1	2394	929
2	5001	928

prune298.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes147.0ms

Accuracy

16.4% (1.6b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 2.0b

bsearch85.0ms

Steps

Iters	Range		Point
9	2.6602052001566417e-69	4.722547691935533e-63	3.883331615003378e-63
8	-1.5230638671296283e-49	-4.399726738550524e-53	-1.5034737663276773e-49

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	10
1	33	10
2	33	10

end0.0ms

sample695.0ms

Algorithm

intervals

Results

435.0ms

10592×

body

valid