Details

sample76.0ms

Algorithm

intervals

Results

27.0ms	291×	body	80	valid
22.0ms	299×	body	80	nan

simplify62.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	30	8
1	89	7
2	291	7
3	898	7
4	2565	7
5	5001	7

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
0.0b	(* (- a 0.5) b)
0.1b	(- (+ (+ x y) z) (* z (log t)))
0.3b	(* z (log t))

rewrite419.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
27×	`add-log-exp`
22×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
12×	`log-prod`
10×	`prod-diff` `sum-log`
9×	`pow1` `distribute-lft-out`
8×	`add-exp-log` `associate-+l+` `associate-l` `add-cbrt-cube`
7×	`associate-r`
6×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `diff-log` `associate-*l/` `flip--` `associate--r+`
5×	`fma-neg`
4×	`expm1-log1p-u` `frac-add` `log1p-expm1-u`
3×	`fma-def`
2×	`sub-neg` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `flip3-+` `log-pow` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 116

Calls

4 calls:

300.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
10.0ms	(* (- a 0.5) b)
100.0ms	(- (+ (+ x y) z) (* z (log t)))
4.0ms	(* z (log t))

series264.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
36.0ms	(* (- a 0.5) b)
38.0ms	(- (+ (+ x y) z) (* z (log t)))
45.0ms	(* z (log t))

simplify93.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	587	917
1	2882	830
2	5002	804

prune435.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1 (log t))
0.0b	(+ (+ (fma z (- 1 (log t)) (+ x y)) (* (log t) (+ (- z) z))) (* (- a 0.5) b))
0.0b	(* (- a 0.5) b)
0.1b	(fma z (- 1 (log t)) (+ x y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
16×	`add-cube-cbrt`
12×	`prod-diff`
10×	`pow1` `add-log-exp`
6×	`add-exp-log` `associate-*l/` `add-cbrt-cube`
5×	`associate-l`
4×	`expm1-log1p-u` `flip3--` `frac-add` `log-pow` `flip--` `log1p-expm1-u`
3×	`log-prod` `fma-def` `flip3-+` `fma-neg` `associate-r` `sum-log` `flip-+` `associate--r+` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `sub-neg` `associate-+l+` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 92

Calls

4 calls:

4.0ms	(- 1 (log t))
13.0ms	(+ (+ (fma z (- 1 (log t)) (+ x y)) (* (log t) (+ (- z) z))) (* (- a 0.5) b))
10.0ms	(* (- a 0.5) b)
0.0ms	(fma z (- 1 (log t)) (+ x y))

series440.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(- 1 (log t))
210.0ms	(+ (+ (fma z (- 1 (log t)) (+ x y)) (* (log t) (+ (- z) z))) (* (- a 0.5) b))
31.0ms	(* (- a 0.5) b)
60.0ms	(fma z (- 1 (log t)) (+ x y))

simplify84.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	561	973
1	2477	796
2	5001	736

prune403.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt t) (cbrt t))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt t) (cbrt t))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.0s

Counts

4 → 12

Calls

4 calls:

445.0ms	(* (cbrt t) (cbrt t))
195.0ms	(cbrt t)
194.0ms	(cbrt t)
202.0ms	(cbrt t)

simplify104.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune433.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt t) (cbrt t))
0.6b	(cbrt t)
0.6b	(cbrt t)
5.0b	(pow t 1/3)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`cbrt-prod`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
8×	`pow1/3`
7×	`add-exp-log`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`unpow-prod-down` `pow-unpow`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-pow` `pow-plus` `unpow1/3` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 88

Calls

4 calls:

6.0ms	(* (cbrt t) (cbrt t))
0.0ms	(cbrt t)
0.0ms	(cbrt t)
1.0ms	(pow t 1/3)

series787.0ms

Counts

4 → 12

Calls

4 calls:

214.0ms	(* (cbrt t) (cbrt t))
199.0ms	(cbrt t)
191.0ms	(cbrt t)
183.0ms	(pow t 1/3)

simplify171.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	179	308
1	790	229
2	4953	214
3	5001	214

prune457.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes434.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	14
1	28	14

end0.0ms

sample2.1s

Algorithm

intervals

Results

819.0ms	9189×	body	80	valid
674.0ms	9321×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid