Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

327×

body

valid

simplify77.0ms

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: 12.4b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite118.0ms

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:

78.0ms	(* x (+ (- y z) 1.0))
39.0ms	(/ (* x (+ (- y z) 1.0)) z)

series79.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* x (+ (- y z) 1.0))
44.0ms	(/ (* x (+ (- y z) 1.0)) z)

simplify45.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (10.0ms)

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

prune117.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ z (+ (- y z) 1.0))
3.2b	(/ x (/ z (+ (- y z) 1.0)))

rewrite87.0ms

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:

38.0ms	(/ z (+ (- y z) 1.0))
42.0ms	(/ x (/ z (+ (- y z) 1.0)))

series97.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(/ z (+ (- y z) 1.0))
46.0ms	(/ x (/ z (+ (- y z) 1.0)))

simplify66.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (53.0ms)

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

prune294.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

1.1b	(* (/ 1 (* (cbrt (/ z (+ (- y z) 1.0))) (cbrt (/ z (+ (- y z) 1.0))))) (/ x (cbrt (/ z (+ (- y z) 1.0)))))
3.5b	(cbrt (/ z (+ (- y z) 1.0)))
3.5b	(cbrt (/ z (+ (- y z) 1.0)))
3.5b	(cbrt (/ z (+ (- y z) 1.0)))

rewrite520.0ms

Algorithm

rewrite-expression-head

Rules

185×	`times-frac`
182×	`*-un-lft-identity`
132×	`cbrt-prod`
120×	`add-sqr-sqrt`
88×	`add-cube-cbrt`
77×	`associate-r`
49×	`add-exp-log`
36×	`distribute-lft-out`
20×	`prod-exp`
18×	`add-cbrt-cube` `distribute-lft-out--`
16×	`associate-/r/`
15×	`div-exp`
12×	`unswap-sqr`
10×	`associate-l`
8×	`cbrt-div` `cbrt-unprod` `div-inv`
7×	`cbrt-undiv`
6×	`pow1` `flip3-+` `flip-+`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`frac-times` `associate-r/` `associate-l/`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 229

Calls

4 calls:

445.0ms	(* (/ 1 (* (cbrt (/ z (+ (- y z) 1.0))) (cbrt (/ z (+ (- y z) 1.0))))) (/ x (cbrt (/ z (+ (- y z) 1.0)))))
18.0ms	(cbrt (/ z (+ (- y z) 1.0)))
21.0ms	(cbrt (/ z (+ (- y z) 1.0)))
19.0ms	(cbrt (/ z (+ (- y z) 1.0)))

series458.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* (/ 1 (* (cbrt (/ z (+ (- y z) 1.0))) (cbrt (/ z (+ (- y z) 1.0))))) (/ x (cbrt (/ z (+ (- y z) 1.0)))))
129.0ms	(cbrt (/ z (+ (- y z) 1.0)))
130.0ms	(cbrt (/ z (+ (- y z) 1.0)))
131.0ms	(cbrt (/ z (+ (- y z) 1.0)))

simplify125.0ms

Algorithm

egg-herbie

Counts

241 → 241

Iterations

Useful iterations: 2 (98.0ms)

Iter	Nodes	Cost
0	915	3499
1	4313	3161
2	5002	2962

prune614.0ms

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	(fma 1.0 (/ x z) (/ (* x y) z))
0.0b	(- (fma 1.0 (/ x z) (/ (* x y) z)) x)
8.0b	(/ (* x y) z)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`add-cube-cbrt`
9×	`prod-diff`
8×	`add-exp-log` `add-cbrt-cube`
5×	`add-log-exp`
3×	`pow1` `expm1-log1p-u` `times-frac` `fma-neg` `associate-/r*` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `fma-udef`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `prod-exp` `associate--l+` `clear-num` `flip--` `cbrt-unprod` `div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 62

Calls

3 calls:

0.0ms	(fma 1.0 (/ x z) (/ (* x y) z))
7.0ms	(- (fma 1.0 (/ x z) (/ (* x y) z)) x)
10.0ms	(/ (* x y) z)

series127.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(fma 1.0 (/ x z) (/ (* x y) z))
45.0ms	(- (fma 1.0 (/ x z) (/ (* x y) z)) x)
27.0ms	(/ (* x y) z)

simplify47.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	235	493
1	1042	390
2	5002	384

prune152.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes73.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

sample528.0ms

Algorithm

intervals

Results

239.0ms

10186×

body

valid