Details

sample33.0ms

Algorithm

intervals

Results

15.0ms

383×

body

valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	26	7
1	57	6
2	95	6
3	116	6
4	118	6
5	118	6

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

8.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
3.0ms	(+ x (* y z))
5.0ms	(+ (+ x (* y z)) (* t a))
5.0ms	(* (* a z) b)

series178.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
24.0ms	(+ x (* y z))
48.0ms	(+ (+ x (* y z)) (* t a))
26.0ms	(* (* a z) b)

simplify45.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	335	378
1	1670	347
2	5002	342

prune171.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 45

Calls

4 calls:

5.0ms	(* (* a z) b)
3.0ms	(cbrt (* (* a z) b))
3.0ms	(cbrt (* (* a z) b))
4.0ms	(cbrt (* (* a z) b))

series295.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (* a z) b)
90.0ms	(cbrt (* (* a z) b))
90.0ms	(cbrt (* (* a z) b))
90.0ms	(cbrt (* (* a z) b))

simplify69.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (65.0ms)

Iter	Nodes	Cost
0	181	286
1	716	238
2	3196	229
3	5001	210

prune218.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

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)))

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×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-l` `*-commutative`

Counts

4 → 45

Calls

4 calls:

5.0ms	(* (* a z) b)
4.0ms	(cbrt (* (* a z) b))
4.0ms	(cbrt (* (* a z) b))
10.0ms	(cbrt (* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b)))

series306.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (* a z) b)
96.0ms	(cbrt (* (* a z) b))
92.0ms	(cbrt (* (* a z) b))
91.0ms	(cbrt (* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b)))

simplify81.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	196	341
1	753	283
2	3300	271
3	5001	215

prune434.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y z))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (pow (* a (* z b)) 1))
0.0b	(+ (+ x (* y z)) (* t a))
6.5b	(* a (* z b))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
10×	`sum-log`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`+-commutative` `flip3-+` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`associate-+l+`
1×	`associate-r` `*-commutative` `distribute-lft-out`

Counts

4 → 57

Calls

4 calls:

3.0ms	(+ x (* y z))
9.0ms	(+ (+ (+ x (* y z)) (* t a)) (pow (* a (* z b)) 1))
7.0ms	(+ (+ x (* y z)) (* t a))
5.0ms	(* a (* z b))

series180.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ x (* y z))
83.0ms	(+ (+ (+ x (* y z)) (* t a)) (pow (* a (* z b)) 1))
45.0ms	(+ (+ x (* y z)) (* t a))
27.0ms	(* a (* z b))

simplify43.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	331	398
1	1545	359
2	5001	358

prune176.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes256.0ms

Accuracy

69.5% (0.6b remaining)

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

bsearch72.0ms

Steps

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

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	15
1	39	15

end0.0ms

sample851.0ms

Algorithm

intervals

Results

445.0ms

11882×

body

valid