Details

sample103.0ms

Algorithm

intervals

Results

29.0ms	647×	body	80	nan
24.0ms	605×	body	80	valid

simplify76.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	26	9
1	43	9
2	92	9
3	186	9
4	341	9
5	703	9
6	2167	9
7	5001	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* t t) 2.0)
0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
0.0b	(exp (/ (* t t) 2.0))
0.3b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-cbrt-cube`
14×	`add-exp-log`
13×	`add-sqr-sqrt`
11×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
7×	`exp-prod` `associate-r`
6×	`times-frac` `associate-*l/`
5×	`prod-exp` `cbrt-unprod` `add-log-exp`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `log1p-expm1-u`
3×	`associate-/r*`
2×	`cbrt-undiv` `flip3--` `div-exp` `*-commutative` `flip--` `div-inv`
1×	`frac-2neg` `clear-num` `sqrt-prod` `rem-exp-log` `associate-/l*` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

9.0ms	(/ (* t t) 2.0)
94.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
4.0ms	(exp (/ (* t t) 2.0))
38.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series332.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ (* t t) 2.0)
183.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
19.0ms	(exp (/ (* t t) 2.0))
106.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify49.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	463	658
1	1807	565
2	5001	558

prune283.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
0.0b	(pow (exp t) (/ t 2.0))
0.3b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity`
13×	`pow-unpow`
11×	`associate-r`
10×	`prod-exp` `add-cbrt-cube`
9×	`times-frac`
6×	`pow1` `unpow-prod-down` `associate-*l/`
4×	`pow-pow` `associate-l` `cbrt-unprod`
3×	`expm1-log1p-u` `pow-to-exp` `exp-prod` `pow-exp` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `*-commutative` `flip--` `sqr-pow`
1×	`pow-prod-down` `sqrt-prod` `div-inv` `unswap-sqr`

Counts

3 → 83

Calls

3 calls:

86.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
8.0ms	(pow (exp t) (/ t 2.0))
36.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series357.0ms

Counts

3 → 9

Calls

3 calls:

199.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
52.0ms	(pow (exp t) (/ t 2.0))
106.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify59.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	513	701
1	2030	621
2	5001	617

prune308.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (exp t))
0.0b	(cbrt (exp t))
0.1b	(* (cbrt (exp t)) (cbrt (exp t)))
0.3b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`cbrt-prod`
16×	`add-cube-cbrt` `*-un-lft-identity`
13×	`pow1`
10×	`associate-r`
9×	`associate-l`
8×	`add-exp-log` `pow1/3`
6×	`swap-sqr` `add-cbrt-cube`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down`
2×	`associate-l/` `prod-exp` `pow-sqr` `-commutative` `pow-prod-up` `cbrt-unprod`
1×	`pow2` `flip3--` `pow-plus` `sqrt-prod` `flip--`

Counts

4 → 91

Calls

4 calls:

2.0ms	(cbrt (exp t))
2.0ms	(cbrt (exp t))
15.0ms	(* (cbrt (exp t)) (cbrt (exp t)))
40.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series356.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(cbrt (exp t))
73.0ms	(cbrt (exp t))
101.0ms	(* (cbrt (exp t)) (cbrt (exp t)))
103.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify37.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	297	582
1	988	527
2	5001	495

prune377.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
0.0b	(exp (/ (* t t) 2.0))
0.3b	(* (- (* x 0.5) y) (sqrt z))
0.5b	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite267.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-cbrt-cube`
17×	`add-exp-log`
16×	`add-sqr-sqrt`
15×	`associate-r`
12×	`add-cube-cbrt` `-un-lft-identity` `associate-l/`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`exp-prod` `sqrt-prod`
5×	`associate-l` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`flip3--` `times-frac` `*-commutative` `flip--`
2×	`unswap-sqr`
1×	`div-inv` `rem-exp-log`

Counts

4 → 93

Calls

4 calls:

173.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
4.0ms	(exp (/ (* t t) 2.0))
31.0ms	(* (- (* x 0.5) y) (sqrt z))
56.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series420.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
19.0ms	(exp (/ (* t t) 2.0))
66.0ms	(* (- (* x 0.5) y) (sqrt z))
134.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify60.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	441	852
1	1914	732
2	5001	718

prune285.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes533.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	18
1	24	18

end0.0ms

sample2.8s

Algorithm

intervals

Results

756.0ms	18050×	body	80	valid
720.0ms	17820×	body	80	nan