Details

sample23.0ms

Algorithm

intervals

Results

8.0ms

342×

body

valid

simplify120.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	14	4
1	28	4
2	51	3
3	90	3
4	150	3
5	214	3
6	308	3
7	447	3
8	550	3
9	865	3
10	1231	3
11	1725	3
12	2728	3
13	4466	3
14	5001	3

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

4.2b	(fma (/ (- y x) t) z 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 (/ (- y x) t) z x)

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

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

simplify35.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	44	69
1	86	62
2	217	53
3	1038	53
4	5001	53

prune38.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (/ (- y x) t) z x))
4.2b	(fma (/ (- y x) t) z x)
4.2b	(fma (/ (- y x) t) z x)
4.2b	(fma (/ (- y x) t) z x)

rewrite2.0ms

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

series296.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(cbrt (fma (/ (- y x) t) z x))
34.0ms	(fma (/ (- y x) t) z x)
31.0ms	(fma (/ (- y x) t) z x)
31.0ms	(fma (/ (- y x) t) z x)

simplify52.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	204	357
1	544	325
2	2029	294
3	5003	292

prune168.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) z)
0.0b	(+ x (/ (* (- y x) z) t))
6.3b	(/ (* (- y x) z) t)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
8×	`add-cube-cbrt`
5×	`pow1` `associate-l` `add-log-exp`
4×	`associate-*l/`
3×	`expm1-log1p-u` `fma-def` `times-frac` `associate-r` `associate-/r*` `log1p-expm1-u`
2×	`cbrt-undiv` `flip3--` `div-exp` `prod-exp` `flip--` `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` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 66

Calls

3 calls:

23.0ms	(* (- y x) z)
9.0ms	(+ x (/ (* (- y x) z) t))
16.0ms	(/ (* (- y x) z) t)

series99.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* (- y x) z)
32.0ms	(+ x (/ (* (- y x) z) t))
38.0ms	(/ (* (- y x) z) t)

simplify38.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	296	337
1	1154	289
2	5002	284

prune152.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (- y x) (/ t z)))
6.2b	(/ (- y x) (/ t z))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 121

Calls

2 calls:

40.0ms	(+ x (/ (- y x) (/ t z)))
22.0ms	(/ (- y x) (/ t z))

series74.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ x (/ (- y x) (/ t z)))
39.0ms	(/ (- y x) (/ t z))

simplify57.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	618	976
1	2232	923
2	5001	920

prune271.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes115.0ms

Accuracy

-30.2% (2.4b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 1.9b

bsearch59.0ms

Steps

Iters	Range		Point
10	3.3499961860968546e-228	1.6411377633301706e-217	1.625406329571912e-217
4	-1.5039956710466002e-21	-9.875824711771154e-22	-1.2296511586159365e-21

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	17
1	31	17

end0.0ms

sample641.0ms

Algorithm

intervals

Results

257.0ms

10624×

body

valid