Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

275×

body

valid

simplify70.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

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

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))
2.2b	(fma (/ (- y z) (- a z)) t x)

rewrite12.0ms

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:

9.0ms	(/ (- y z) (- a z))
1.0ms	(fma (/ (- y z) (- a z)) t x)

series133.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(/ (- y z) (- a z))
81.0ms	(fma (/ (- y z) (- a z)) t x)

simplify61.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (8.0ms)

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

prune180.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a z))
0.2b	(* (- y z) (/ 1 (- a z)))
2.2b	(fma (* (- y z) (/ 1 (- a z))) t x)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
32×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
16×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`associate-l` `associate-/r*`
4×	`flip3--` `div-exp` `prod-exp` `associate-/r/` `flip--`
3×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `fma-udef` `inv-pow`

Counts

3 → 105

Calls

3 calls:

6.0ms	(/ 1 (- a z))
14.0ms	(* (- y z) (/ 1 (- a z)))
1.0ms	(fma (* (- y z) (/ 1 (- a z))) t x)

series165.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ 1 (- a z))
52.0ms	(* (- y z) (/ 1 (- a z)))
77.0ms	(fma (* (- y z) (/ 1 (- a z))) t x)

simplify46.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	333	585
1	1448	510
2	5002	468

prune254.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
2.2b	(fma (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- y z) (cbrt (- a z)))) t x)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`fma-udef`

Counts

4 → 61

Calls

4 calls:

3.0ms	(cbrt (- a z))
3.0ms	(cbrt (- a z))
3.0ms	(cbrt (- a z))
1.0ms	(fma (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- y z) (cbrt (- a z)))) t x)

series719.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt (- a z))
187.0ms	(cbrt (- a z))
162.0ms	(cbrt (- a z))
189.0ms	(fma (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- y z) (cbrt (- a z)))) t x)

simplify72.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	193	514
1	454	473
2	1559	455
3	5002	434

prune319.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* (- y z) t) (- a z)))
0.0b	(* (- y z) t)
11.3b	(/ (* (- y z) t) (- a z))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 72

Calls

3 calls:

8.0ms	(+ x (/ (* (- y z) t) (- a z)))
7.0ms	(* (- y z) t)
15.0ms	(/ (* (- y z) t) (- a z))

series211.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(+ x (/ (* (- y z) t) (- a z)))
40.0ms	(* (- y z) t)
77.0ms	(/ (* (- y z) t) (- a z))

simplify56.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	340	395
1	1442	355
2	5001	353

prune234.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes310.0ms

Accuracy

76.6% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.8b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	22
1	25	22

end0.0ms

sample532.0ms

Algorithm

intervals

Results

275.0ms	8705×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid