Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

338×

body

valid

simplify128.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	48	3
3	96	3
4	153	3
5	203	3
6	247	3
7	401	3
8	680	3
9	1133	3
10	1866	3
11	3291	3
12	4743	3
13	5001	3

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.1b

Counts

2 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

1.9b	(fma (/ y t) (- z x) 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:

1.0ms

(fma (/ y t) (- z x) x)

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(fma (/ y t) (- z x) x)

simplify49.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	40	69
1	93	62
2	270	53
3	1299	53
4	5001	53

prune32.0ms

Filtered

13 candidates to 10 candidates (23.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	10	3	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	10	5	15

Merged error: 0.0b

Counts

15 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (/ y t) (- z x) x))
1.9b	(fma (/ y t) (- z x) x)
1.9b	(fma (/ y t) (- z x) x)
1.9b	(fma (/ y t) (- z x) x)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 43

Calls

4 calls:

1.0ms	(cbrt (fma (/ y t) (- z x) x))
1.0ms	(fma (/ y t) (- z x) x)
1.0ms	(fma (/ y t) (- z x) x)
1.0ms	(fma (/ y t) (- z x) x)

series287.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(cbrt (fma (/ y t) (- z x) x))
30.0ms	(fma (/ y t) (- z x) x)
33.0ms	(fma (/ y t) (- z x) x)
31.0ms	(fma (/ y t) (- z x) x)

simplify40.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (34.0ms)

Iter	Nodes	Cost
0	116	320
1	284	290
2	1044	260
3	5002	255

prune125.0ms

Filtered

55 candidates to 44 candidates (20.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	53	2	55
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	53	7	60

Merged error: 0.0b

Counts

60 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z x))
0.0b	(+ x (/ (* y (- z x)) t))
6.1b	(/ (* y (- z x)) t)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

65×	`add-sqr-sqrt`
57×	`*-un-lft-identity`
45×	`add-cube-cbrt`
42×	`times-frac`
25×	`associate-r`
18×	`prod-diff`
15×	`associate-l`
14×	`associate-/l*`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `*-commutative` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`
4×	`associate-*r/`
3×	`expm1-log1p-u` `fma-def` `associate-/r*` `log1p-expm1-u`
2×	`cbrt-undiv` `sub-neg` `flip3--` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `flip-+` `div-inv` `distribute-lft-out`

Counts

3 → 140

Calls

3 calls:

8.0ms	(* y (- z x))
16.0ms	(+ x (/ (* y (- z x)) t))
15.0ms	(/ (* y (- z x)) t)

series128.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(* y (- z x))
37.0ms	(+ x (/ (* y (- z x)) t))
54.0ms	(/ (* y (- z x)) t)

simplify71.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	536	968
1	2333	796
2	5003	788

prune193.0ms

Filtered

149 candidates to 95 candidates (36.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	145	4	149
Fresh	4	0	4
Picked	0	1	1
Done	1	1	2
Total	150	6	156

Merged error: 0b

Counts

156 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (- z x) (/ t y)))
7.0b	(/ (- z x) (/ t y))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
91×	`*-un-lft-identity`
89×	`add-sqr-sqrt`
61×	`add-cube-cbrt`
16×	`associate-/r*`
14×	`distribute-lft-out--` `difference-of-squares`
9×	`associate-/r/`
8×	`associate-/l*`
7×	`add-exp-log` `add-cbrt-cube` `div-inv`
4×	`add-log-exp`
3×	`cbrt-undiv` `fma-def` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `div-sub` `clear-num` `log1p-expm1-u` `associate-/l/`
1×	`+-commutative` `associate-+r-` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 129

Calls

2 calls:

23.0ms	(+ x (/ (- z x) (/ t y)))
11.0ms	(/ (- z x) (/ t y))

series87.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ x (/ (- z x) (/ t y)))
49.0ms	(/ (- z x) (/ t y))

simplify69.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	636	995
1	2420	948
2	5002	945

prune209.0ms

Filtered

135 candidates to 100 candidates (25.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	133	2	135
Fresh	2	1	3
Picked	1	0	1
Done	0	2	2
Total	136	5	141

Merged error: 0b

Counts

141 → 5

regimes136.0ms

Accuracy

22.8% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.9b

bsearch93.0ms

Steps

Iters	Range		Point
9	3461076069.917962	13419115791853632.0	59621164056.89361
9	-1.0066101181875191e-257	-1.1968679063190125e-264	-8.75318509248698e-259

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	12
1	23	12

end0.0ms

sample558.0ms

Algorithm

intervals

Results

290.0ms

10601×

body

valid