Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

339×

body

valid

simplify185.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 8 (67.0ms)

Iter	Nodes	Cost
0	14	4
1	34	4
2	92	4
3	232	4
4	491	4
5	785	4
6	1115	4
7	1482	4
8	2218	3
9	3349	3
10	4819	3
11	5001	3

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 y) z)
3.4b	(* x (- 1.0 (* (- 1.0 y) z)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
10×	`*-un-lft-identity`
8×	`add-cube-cbrt` `associate-l`
6×	`pow1` `add-exp-log` `associate-r` `prod-diff` `add-cbrt-cube`
5×	`distribute-rgt-in` `distribute-lft-in`
2×	`expm1-log1p-u` `sub-neg` `flip3--` `associate-r/` `pow-prod-down` `associate-l/` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 56

Calls

2 calls:

14.0ms	(* (- 1.0 y) z)
8.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

series83.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(* (- 1.0 y) z)
51.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

simplify53.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	244	345
1	1005	301
2	5001	292

prune124.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* (* x z) (- y 1.0)))
3.1b	(* (* x z) (- y 1.0))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

36×	`prod-diff`
29×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`add-cube-cbrt`
22×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`sub-neg` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u`
1×	`+-commutative` `flip3--` `fma-def` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 82

Calls

2 calls:

6.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
14.0ms	(* (* x z) (- y 1.0))

series124.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
58.0ms	(* (* x z) (- y 1.0))

simplify79.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	448	736
1	1854	512
2	5001	506

prune176.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

3.1b	(* (* x z) (- y 1.0))
9.2b	(cbrt (* (* x z) (- y 1.0)))
9.2b	(cbrt (* (* x z) (- y 1.0)))
9.2b	(cbrt (* (* x z) (- y 1.0)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`prod-diff`
17×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`associate-*r/`
6×	`cbrt-div`
5×	`associate-r`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg`
1×	`associate-l` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 85

Calls

4 calls:

14.0ms	(* (* x z) (- y 1.0))
7.0ms	(cbrt (* (* x z) (- y 1.0)))
7.0ms	(cbrt (* (* x z) (- y 1.0)))
7.0ms	(cbrt (* (* x z) (- y 1.0)))

series741.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (* x z) (- y 1.0))
225.0ms	(cbrt (* (* x z) (- y 1.0)))
233.0ms	(cbrt (* (* x z) (- y 1.0)))
230.0ms	(cbrt (* (* x z) (- y 1.0)))

simplify79.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	491	1055
1	1922	856
2	5001	844

prune315.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b	(* x (* (cbrt (- 1.0 (* (- 1.0 y) z))) (cbrt (- 1.0 (* (- 1.0 y) z)))))
3.6b	(cbrt (- 1.0 (* (- 1.0 y) z)))
3.6b	(cbrt (- 1.0 (* (- 1.0 y) z)))
3.6b	(cbrt (- 1.0 (* (- 1.0 y) z)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
10×	`associate-*r/`
9×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `flip3--` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`add-cbrt-cube`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*l/`
1×	`associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 74

Calls

4 calls:

19.0ms	(* x (* (cbrt (- 1.0 (* (- 1.0 y) z))) (cbrt (- 1.0 (* (- 1.0 y) z)))))
2.0ms	(cbrt (- 1.0 (* (- 1.0 y) z)))
2.0ms	(cbrt (- 1.0 (* (- 1.0 y) z)))
2.0ms	(cbrt (- 1.0 (* (- 1.0 y) z)))

series529.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(* x (* (cbrt (- 1.0 (* (- 1.0 y) z))) (cbrt (- 1.0 (* (- 1.0 y) z)))))
110.0ms	(cbrt (- 1.0 (* (- 1.0 y) z)))
117.0ms	(cbrt (- 1.0 (* (- 1.0 y) z)))
115.0ms	(cbrt (- 1.0 (* (- 1.0 y) z)))

simplify135.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 3 (123.0ms)

Iter	Nodes	Cost
0	405	1009
1	1154	927
2	4455	886
3	5001	854

prune308.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes310.0ms

Accuracy

93.7% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.6b

bsearch95.0ms

Steps

Iters	Range		Point
10	9.593868282723865e-58	6.749157192149008e-47	1.102656055982303e-48
9	-3.3616025022893124e-14	-1.3998740540576414e-20	-5.963481389703192e-17

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	9
1	28	9

end0.0ms

sample455.0ms

Algorithm

intervals

Results

238.0ms

10144×

body

valid