Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

315×

body

valid

simplify80.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	4
1	46	4
2	121	4
3	258	4
4	434	4
5	687	4
6	1957	4
7	5002	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ (- y z) 1.0))
11.4b	(/ (* x (+ (- y z) 1.0)) z)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 51

Calls

2 calls:

42.0ms	(* x (+ (- y z) 1.0))
18.0ms	(/ (* x (+ (- y z) 1.0)) z)

series82.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* x (+ (- y z) 1.0))
43.0ms	(/ (* x (+ (- y z) 1.0)) z)

simplify42.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	262	303
1	1268	253
2	5002	253

prune125.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ z (+ (- y z) 1.0))
2.3b	(/ x (/ z (+ (- y z) 1.0)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity`
138×	`times-frac`
70×	`add-sqr-sqrt` `add-cube-cbrt`
32×	`distribute-lft-out`
26×	`associate-/r*`
16×	`distribute-lft-out--`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`

Counts

2 → 143

Calls

2 calls:

18.0ms	(/ z (+ (- y z) 1.0))
23.0ms	(/ x (/ z (+ (- y z) 1.0)))

series97.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ z (+ (- y z) 1.0))
48.0ms	(/ x (/ z (+ (- y z) 1.0)))

simplify69.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	463	1195
1	2143	1142
2	5001	1140

prune332.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ (- y z) 1.0) z)
2.5b	(* x (/ (+ (- y z) 1.0) z))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

57×	`*-un-lft-identity`
31×	`times-frac`
27×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
19×	`associate-r`
14×	`distribute-lft-out`
9×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--`
5×	`associate-/l*`
4×	`pow1`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`associate-+l-` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `flip-+`

Counts

2 → 80

Calls

2 calls:

36.0ms	(/ (+ (- y z) 1.0) z)
44.0ms	(* x (/ (+ (- y z) 1.0) z))

series78.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ (+ (- y z) 1.0) z)
48.0ms	(* x (/ (+ (- y z) 1.0) z))

simplify52.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	274	497
1	1191	450
2	5001	447

prune181.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(* x (* (cbrt (/ (+ (- y z) 1.0) z)) (cbrt (/ (+ (- y z) 1.0) z))))
2.7b	(cbrt (/ (+ (- y z) 1.0) z))
2.7b	(cbrt (/ (+ (- y z) 1.0) z))
2.7b	(cbrt (/ (+ (- y z) 1.0) z))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

77×	`*-un-lft-identity`
57×	`cbrt-prod`
45×	`times-frac`
33×	`add-sqr-sqrt`
32×	`add-cube-cbrt`
18×	`distribute-lft-out`
9×	`pow1` `add-exp-log` `distribute-lft-out--`
7×	`cbrt-div` `add-cbrt-cube`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
1×	`frac-times` `associate-r` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 114

Calls

4 calls:

75.0ms	(* x (* (cbrt (/ (+ (- y z) 1.0) z)) (cbrt (/ (+ (- y z) 1.0) z))))
10.0ms	(cbrt (/ (+ (- y z) 1.0) z))
10.0ms	(cbrt (/ (+ (- y z) 1.0) z))
13.0ms	(cbrt (/ (+ (- y z) 1.0) z))

series865.0ms

Counts

4 → 12

Calls

4 calls:

310.0ms	(* x (* (cbrt (/ (+ (- y z) 1.0) z)) (cbrt (/ (+ (- y z) 1.0) z))))
185.0ms	(cbrt (/ (+ (- y z) 1.0) z))
181.0ms	(cbrt (/ (+ (- y z) 1.0) z))
189.0ms	(cbrt (/ (+ (- y z) 1.0) z))

simplify131.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 3 (117.0ms)

Iter	Nodes	Cost
0	403	1415
1	1218	1326
2	4835	1232
3	5001	1208

prune374.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes74.0ms

Accuracy

39.2% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 3.1b

bsearch33.0ms

Steps

Iters	Range		Point
7	-1.7977825652338532e-10	-2.8131654335161193e-12	-1.030938384106703e-10

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	9
1	18	9

end0.0ms

sample463.0ms

Algorithm

intervals

Results

252.0ms

10106×

body

valid