Details

sample21.0ms

Algorithm

intervals

Results

8.0ms

280×

body

valid

simplify80.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	17	5
1	35	5
2	63	4
3	107	4
4	169	4
5	239	4
6	288	4
7	356	4
8	407	4
9	533	4
10	755	4
11	1256	4
12	1302	4
13	1304	4
14	1304	4

prune8.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
0.7b	(fma (/ (- y z) (- a z)) t x)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-exp-log` `add-cbrt-cube`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `fma-udef` `div-inv`

Counts

2 → 64

Calls

2 calls:

13.0ms	(/ (- y z) (- a z))
0.0ms	(fma (/ (- y z) (- a z)) t x)

series145.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(/ (- y z) (- a z))
88.0ms	(fma (/ (- y z) (- a z)) t x)

simplify67.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	258	433
1	705	410
2	2399	410
3	5001	410

prune205.0ms

Filtered

70 candidates to 51 candidates (72.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ (- y z) (- a z)) t) x)
0.0b	(/ (- y z) (- a z))
1.7b	(* (/ (- y z) (- a z)) t)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-l`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`expm1-log1p-u` `flip3--` `associate-r` `flip--` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `fma-def` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 120

Calls

3 calls:

9.0ms	(+ (* (/ (- y z) (- a z)) t) x)
13.0ms	(/ (- y z) (- a z))
29.0ms	(* (/ (- y z) (- a z)) t)

series281.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(+ (* (/ (- y z) (- a z)) t) x)
59.0ms	(/ (- y z) (- a z))
114.0ms	(* (/ (- y z) (- a z)) t)

simplify54.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	448	783
1	1395	739
2	5001	738

prune345.0ms

Filtered

129 candidates to 91 candidates (70.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- y z))
0.5b	(cbrt (- y z))
0.5b	(cbrt (- y z))
1.7b	(* (* (* (cbrt (- y z)) (cbrt (- y z))) (/ (cbrt (- y z)) (- a z))) t)

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-div`
29×	`associate-*l/`
22×	`add-exp-log`
16×	`frac-times` `add-cbrt-cube`
15×	`cbrt-prod` `flip3--` `flip--`
14×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`pow1`
11×	`prod-exp` `cbrt-unprod`
8×	`add-cube-cbrt`
6×	`pow-prod-down`
5×	`associate-*r/`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-r` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `div-exp`
1×	`associate-l` `*-commutative`

Counts

4 → 95

Calls

4 calls:

2.0ms	(cbrt (- y z))
2.0ms	(cbrt (- y z))
2.0ms	(cbrt (- y z))
143.0ms	(* (* (* (cbrt (- y z)) (cbrt (- y z))) (/ (cbrt (- y z)) (- a z))) t)

series624.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt (- y z))
168.0ms	(cbrt (- y z))
169.0ms	(cbrt (- y z))
110.0ms	(* (* (* (cbrt (- y z)) (cbrt (- y z))) (/ (cbrt (- y z)) (- a z))) t)

simplify64.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	451	967
1	1622	822
2	5001	772

prune402.0ms

Filtered

107 candidates to 81 candidates (75.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(* (* (/ (- y z) (- a z)) (* (cbrt t) (cbrt t))) (cbrt t))
1.2b	(* (/ (- y z) (- a z)) (* (cbrt t) (cbrt t)))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
34×	`add-exp-log`
32×	`associate-l`
26×	`times-frac`
21×	`add-cbrt-cube`
19×	`add-cube-cbrt`
18×	`pow1`
17×	`prod-exp` `cbrt-unprod`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`cbrt-prod` `pow-prod-down`
7×	`associate-r`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`associate-*l/`
2×	`pow1/3` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`flip3--` `flip--` `div-inv`

Counts

4 → 112

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
63.0ms	(* (* (/ (- y z) (- a z)) (* (cbrt t) (cbrt t))) (cbrt t))
34.0ms	(* (/ (- y z) (- a z)) (* (cbrt t) (cbrt t)))

series754.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(cbrt t)
186.0ms	(cbrt t)
137.0ms	(* (* (/ (- y z) (- a z)) (* (cbrt t) (cbrt t))) (cbrt t))
243.0ms	(* (/ (- y z) (- a z)) (* (cbrt t) (cbrt t)))

simplify56.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	418	962
1	1750	710
2	5002	667

prune346.0ms

Filtered

124 candidates to 84 candidates (67.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes183.0ms

Accuracy

0% (1.5b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample530.0ms

Algorithm

intervals

Results

263.0ms	8736×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid