Details

sample32.0ms

Algorithm

intervals

Results

14.0ms

383×

body

valid

simplify25.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 5 (20.0ms)

Iter	Nodes	Cost
0	26	7
1	68	4
2	140	4
3	200	4
4	214	4
5	217	3
6	217	3

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b	(+ x (* y z))
0.0b	(+ (+ x (* y z)) (* t a))
4.9b	(* (* a z) b)

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
10×	`sum-log`
9×	`pow1` `add-exp-log` `fma-def` `add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`+-commutative` `flip3-+` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`associate-+l+`
1×	`associate-l` `*-commutative`

Counts

4 → 73

Calls

4 calls:

43.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
2.0ms	(+ x (* y z))
10.0ms	(+ (+ x (* y z)) (* t a))
7.0ms	(* (* a z) b)

series196.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
25.0ms	(+ x (* y z))
47.0ms	(+ (+ x (* y z)) (* t a))
33.0ms	(* (* a z) b)

simplify69.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	358	405
1	1787	339
2	5001	330

prune298.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma y z (fma a t x))
0.0b	(+ (fma y z (fma a t x)) (* (* a z) b))
4.9b	(* (* a z) b)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

8×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
3×	`expm1-log1p-u` `fma-def` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
2×	`fma-udef`
1×	`+-commutative` `associate-+l+` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

3 → 47

Calls

3 calls:

0.0ms	(fma y z (fma a t x))
2.0ms	(+ (fma y z (fma a t x)) (* (* a z) b))
7.0ms	(* (* a z) b)

series201.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(fma y z (fma a t x))
110.0ms	(+ (fma y z (fma a t x)) (* (* a z) b))
32.0ms	(* (* a z) b)

simplify51.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	203	236
1	1002	211
2	5001	211

prune198.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

4.9b	(* (* a z) b)
12.3b	(cbrt (* (* a z) b))
12.3b	(cbrt (* (* a z) b))
12.3b	(cbrt (* (* a z) b))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-l` `*-commutative`

Counts

4 → 53

Calls

4 calls:

6.0ms	(* (* a z) b)
5.0ms	(cbrt (* (* a z) b))
5.0ms	(cbrt (* (* a z) b))
6.0ms	(cbrt (* (* a z) b))

series332.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (* a z) b)
103.0ms	(cbrt (* (* a z) b))
101.0ms	(cbrt (* (* a z) b))
101.0ms	(cbrt (* (* a z) b))

simplify96.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	185	316
1	726	268
2	3235	259
3	5001	240

prune310.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

4.9b	(* (* a z) b)
12.3b	(cbrt (* (* a z) b))
12.3b	(cbrt (* (* a z) b))
12.3b	(cbrt (* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-l` `*-commutative`

Counts

4 → 53

Calls

4 calls:

6.0ms	(* (* a z) b)
8.0ms	(cbrt (* (* a z) b))
5.0ms	(cbrt (* (* a z) b))
46.0ms	(cbrt (* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b)))

series333.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (* a z) b)
100.0ms	(cbrt (* (* a z) b))
101.0ms	(cbrt (* (* a z) b))
104.0ms	(cbrt (* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b)))

simplify93.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	202	381
1	765	323
2	3341	311
3	5002	245

prune331.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes204.0ms

Accuracy

69.6% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.1b

bsearch80.0ms

Steps

Iters	Range		Point
3	1.2114925406406014e-189	1.4612420888189662e-189	1.3831953550132272e-189
9	-2.5777463992059176e-09	-1.3822770356938285e-14	-1.0890740179526285e-10

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	11
1	33	11

end0.0ms

sample849.0ms

Algorithm

intervals

Results

446.0ms

11882×

body

valid