Details

sample267.0ms

Algorithm

intervals

Results

249.0ms

389×

body

valid

simplify21.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 5 (17.0ms)

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

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

2.4b	(fma (fma a b y) z (fma a t x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (fma a b y) z (fma a t x))

series91.0ms

Counts

1 → 3

Calls

1 calls:

91.0ms

(fma (fma a b y) z (fma a t x))

simplify61.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	44	58
1	93	51
2	307	49
3	2032	49
4	5002	49

prune47.0ms

Pruning

3 alts after pruning (2 fresh and 1 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))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
7.8b	(* (* 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:

2.0ms	(+ x (* y z))
13.0ms	(+ (+ x (* y z)) (* t a))
41.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
6.0ms	(* (* a z) b)

series179.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ x (* y z))
44.0ms	(+ (+ x (* y z)) (* t a))
82.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
26.0ms	(* (* a z) b)

simplify57.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (51.0ms)

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

prune274.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y z))
0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))
4.3b	(* a (* z b))

rewrite61.0ms

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-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`associate-+l+`
1×	`associate-r` `*-commutative`

Counts

4 → 73

Calls

4 calls:

2.0ms	(+ x (* y z))
10.0ms	(+ (+ x (* y z)) (* t a))
41.0ms	(+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))
6.0ms	(* a (* z b))

series195.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ x (* y z))
47.0ms	(+ (+ x (* y z)) (* t a))
90.0ms	(+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))
32.0ms	(* a (* z b))

simplify55.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	346	404
1	1564	338
2	5001	329

prune272.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

4.3b	(* a (* z b))
12.3b	(cbrt (* a (* z b)))
12.3b	(cbrt (* a (* z b)))
12.3b	(cbrt (* a (* z b)))

rewrite20.0ms

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-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative`

Counts

4 → 53

Calls

4 calls:

6.0ms	(* a (* z b))
4.0ms	(cbrt (* a (* z b)))
4.0ms	(cbrt (* a (* z b)))
4.0ms	(cbrt (* a (* z b)))

series342.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* a (* z b))
105.0ms	(cbrt (* a (* z b)))
101.0ms	(cbrt (* a (* z b)))
101.0ms	(cbrt (* a (* z b)))

simplify63.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (58.0ms)

Iter	Nodes	Cost
0	174	315
1	565	267
2	2059	255
3	5001	233

prune242.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes259.0ms

Accuracy

89.3% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.8b

bsearch120.0ms

Steps

Iters	Range		Point
7	2.694871805994863e-42	8.202374081928234e-41	7.3334928750494e-42
10	-1.5762276674017852e+78	-1.3673540181153232e+65	-2.190777942742735e+65

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	10
1	32	10

end0.0ms

sample859.0ms

Algorithm

intervals

Results

446.0ms

11747×

body

valid