Details

sample34.0ms

Algorithm

intervals

Results

18.0ms

500×

body

valid

simplify129.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 9 (108.0ms)

Iter	Nodes	Cost
0	21	6
1	52	6
2	171	6
3	401	6
4	829	6
5	1090	6
6	1610	6
7	1956	6
8	2252	6
9	2367	5
10	2367	5

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 9.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x x (* (* y 4.0) (- t (* z z))))
0.0b	(- t (* z z))
8.6b	(* (* y 4.0) (- t (* z z)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

143×	`add-sqr-sqrt`
135×	`prod-diff`
106×	`*-un-lft-identity`
98×	`add-cube-cbrt`
47×	`distribute-rgt-in` `distribute-lft-in`
44×	`associate-l`
40×	`associate-r`
29×	`swap-sqr`
15×	`unswap-sqr`
13×	`*-commutative`
10×	`difference-of-squares`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-log-exp`
4×	`distribute-lft-out--`
3×	`expm1-log1p-u` `sub-neg` `fma-neg` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
2×	`flip3--` `associate-*r/` `flip--`
1×	`diff-log` `fma-udef`

Counts

3 → 215

Calls

3 calls:

1.0ms	(fma x x (* (* y 4.0) (- t (* z z))))
9.0ms	(- t (* z z))
20.0ms	(* (* y 4.0) (- t (* z z)))

series247.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(fma x x (* (* y 4.0) (- t (* z z))))
41.0ms	(- t (* z z))
97.0ms	(* (* y 4.0) (- t (* z z)))

simplify120.0ms

Algorithm

egg-herbie

Counts

224 → 224

Iterations

Useful iterations: 2 (91.0ms)

Iter	Nodes	Cost
0	802	2629
1	2619	1977
2	5001	1664

prune179.0ms

Filtered

224 candidates to 65 candidates (71.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	218	6	224
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	219	6	225

Merged error: 4.2b

Counts

225 → 6

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x x (+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z)))))
0.0b	(+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z))))
11.4b	(* (* y 4.0) (- (* z z)))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

79×	`associate-l`
61×	`associate-r`
50×	`add-sqr-sqrt`
48×	`*-un-lft-identity`
28×	`add-cube-cbrt`
23×	`distribute-lft-out`
22×	`fma-def`
17×	`distribute-rgt-neg-in`
15×	`distribute-lft-neg-in`
12×	`unswap-sqr`
10×	`*-commutative`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`swap-sqr`
5×	`add-log-exp`
3×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `distribute-rgt-neg-out` `cbrt-unprod` `log1p-expm1-u`
1×	`+-commutative` `neg-mul-1` `distribute-rgt-out` `flip3-+` `unsub-neg` `sum-log` `flip-+` `fma-udef`

Counts

3 → 136

Calls

3 calls:

1.0ms	(fma x x (+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z)))))
66.0ms	(+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z))))
18.0ms	(* (* y 4.0) (- (* z z)))

series267.0ms

Counts

3 → 9

Calls

3 calls:

113.0ms	(fma x x (+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z)))))
109.0ms	(+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z))))
44.0ms	(* (* y 4.0) (- (* z z)))

simplify119.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (108.0ms)

Iter	Nodes	Cost
0	525	710
1	2452	612
2	5001	600

prune287.0ms

Filtered

145 candidates to 103 candidates (29.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	140	5	145
Fresh	4	1	5
Picked	1	0	1
Done	0	0	0
Total	145	6	151

Merged error: 0.0b

Counts

151 → 6

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x x (+ (* (* y 4.0) t) (* (* y (* 4.0 z)) (- z))))
0.0b	(+ (* (* y 4.0) t) (* (* y (* 4.0 z)) (- z)))
0.1b	(* (* y (* 4.0 z)) (- z))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

83×	`associate-l`
43×	`add-sqr-sqrt`
40×	`associate-r`
38×	`*-un-lft-identity`
22×	`fma-def`
20×	`add-cube-cbrt`
17×	`distribute-lft-out`
14×	`unswap-sqr`
12×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`*-commutative` `add-log-exp`
3×	`distribute-lft-neg-in` `expm1-log1p-u` `distribute-rgt-neg-in` `distribute-rgt-neg-out` `log1p-expm1-u`
1×	`+-commutative` `neg-mul-1` `flip3-+` `unsub-neg` `sum-log` `flip-+` `fma-udef`

Counts

3 → 119

Calls

3 calls:

1.0ms	(fma x x (+ (* (* y 4.0) t) (* (* y (* 4.0 z)) (- z))))
55.0ms	(+ (* (* y 4.0) t) (* (* y (* 4.0 z)) (- z)))
18.0ms	(* (* y (* 4.0 z)) (- z))

series512.0ms

Counts

3 → 9

Calls

3 calls:

111.0ms	(fma x x (+ (* (* y 4.0) t) (* (* y (* 4.0 z)) (- z))))
361.0ms	(+ (* (* y 4.0) t) (* (* y (* 4.0 z)) (- z)))
39.0ms	(* (* y (* 4.0 z)) (- z))

simplify99.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	465	685
1	2027	591
2	5002	569

prune263.0ms

Filtered

128 candidates to 96 candidates (25.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	125	3	128
Fresh	3	2	5
Picked	0	1	1
Done	0	0	0
Total	128	6	134

Merged error: 0.0b

Counts

134 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 84

Calls

4 calls:

6.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series821.0ms

Counts

4 → 12

Calls

4 calls:

226.0ms	(* (cbrt z) (cbrt z))
205.0ms	(cbrt z)
196.0ms	(cbrt z)
194.0ms	(cbrt z)

simplify129.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 3 (122.0ms)

Iter	Nodes	Cost
0	128	331
1	526	287
2	3251	261
3	5002	258

prune243.0ms

Filtered

96 candidates to 72 candidates (25.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	96	6	102

Merged error: 0.0b

Counts

102 → 6

regimes176.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	8
1	25	8
2	32	8
3	37	8
4	37	8

end0.0ms

sample867.0ms

Algorithm

intervals

Results

485.0ms

15845×

body

valid