Details

sample96.0ms

Algorithm

intervals

Results

36.0ms	256×	body	80	valid
28.0ms	231×	body	80	nan

simplify40.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	50	17
1	108	17
2	389	17
3	1761	17
4	5002	17

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.5b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (sqrt (+ t a)))
0.3b	(/ 2.0 (* t 3.0))
2.0b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
6.4b	(/ (* z (sqrt (+ t a))) t)

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

75×	`*-un-lft-identity`
63×	`prod-diff`
62×	`associate--r+`
49×	`add-sqr-sqrt`
45×	`add-cube-cbrt`
36×	`times-frac`
31×	`distribute-rgt-in` `distribute-lft-in`
20×	`frac-sub`
16×	`add-exp-log` `add-cbrt-cube`
15×	`distribute-lft-out`
12×	`div-inv`
9×	`flip3--` `flip--`
8×	`frac-times` `associate-*r/`
7×	`fma-neg` `associate-r`
6×	`pow1` `add-log-exp`
5×	`flip3-+` `sqrt-prod` `flip-+`
4×	`cbrt-undiv` `expm1-log1p-u` `sqrt-div` `div-exp` `associate-/r` `log1p-expm1-u` `associate-/l`
3×	`sub-neg` `associate-l` `prod-exp` `cbrt-unprod`
2×	`frac-2neg` `associate-*l/` `associate--l+` `clear-num` `associate-/l/` `unswap-sqr`
1×	`diff-log` `pow-prod-down` `*-commutative`

Counts

4 → 179

Calls

4 calls:

11.0ms	(* z (sqrt (+ t a)))
3.0ms	(/ 2.0 (* t 3.0))
40.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
6.0ms	(/ (* z (sqrt (+ t a))) t)

series339.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* z (sqrt (+ t a)))
15.0ms	(/ 2.0 (* t 3.0))
178.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
82.0ms	(/ (* z (sqrt (+ t a))) t)

simplify58.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1377	2637
1	5001	2324

prune924.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (sqrt (+ t a)) t)
0.3b	(/ 2.0 (* t 3.0))
0.3b	(/ 2.0 (* t 3.0))
2.6b	(fma z (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
27×	`times-frac`
24×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`add-exp-log` `sqrt-prod` `add-cbrt-cube`
13×	`associate-/l*`
5×	`cbrt-undiv` `div-exp` `associate-/r*`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`frac-2neg` `clear-num` `div-inv`
2×	`sqrt-div` `prod-exp` `cbrt-unprod` `associate-/l/`
1×	`flip3-+` `flip-+` `fma-udef`

Counts

4 → 103

Calls

4 calls:

8.0ms	(/ (sqrt (+ t a)) t)
3.0ms	(/ 2.0 (* t 3.0))
3.0ms	(/ 2.0 (* t 3.0))
0.0ms	(fma z (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

series307.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(/ (sqrt (+ t a)) t)
19.0ms	(/ 2.0 (* t 3.0))
15.0ms	(/ 2.0 (* t 3.0))
214.0ms	(fma z (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

simplify46.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	378	688
1	1172	613
2	5001	603

prune610.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 2.0 (* t 3.0))
3.2b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
4.3b	(log (exp (/ 2.0 (* t 3.0))))
6.4b	(/ (* z (sqrt (+ t a))) t)

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

105×	`*-un-lft-identity`
95×	`prod-diff`
94×	`associate--r+`
72×	`log-pow`
63×	`exp-prod`
61×	`add-sqr-sqrt` `add-cube-cbrt`
47×	`distribute-rgt-in` `distribute-lft-in`
39×	`times-frac`
22×	`distribute-lft-out`
14×	`add-exp-log` `add-cbrt-cube`
13×	`pow1` `div-inv`
8×	`frac-sub`
7×	`flip3--` `fma-neg` `flip--`
6×	`add-log-exp`
4×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `associate-r/` `div-exp` `associate-/r` `log1p-expm1-u` `associate-/l*`
3×	`sub-neg` `log-prod`
2×	`frac-2neg` `sqrt-div` `associate-*l/` `prod-exp` `associate--l+` `clear-num` `cbrt-unprod` `associate-/l/`
1×	`flip3-+` `diff-log` `rem-log-exp` `flip-+`

Counts

4 → 199

Calls

4 calls:

3.0ms	(/ 2.0 (* t 3.0))
44.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
4.0ms	(log (exp (/ 2.0 (* t 3.0))))
6.0ms	(/ (* z (sqrt (+ t a))) t)

series296.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(/ 2.0 (* t 3.0))
181.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
16.0ms	(log (exp (/ 2.0 (* t 3.0))))
82.0ms	(/ (* z (sqrt (+ t a))) t)

simplify55.0ms

Algorithm

egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1214	3242
1	5001	2728

prune1.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* 2.0 (fma c a (- (* 0.8333333333333334 c) (* a b)))))
0.0b	(/ x (+ x (* y (exp (* 2.0 (fma c a (- (* 0.8333333333333334 c) (* a b))))))))
0.0b	(- (* 0.8333333333333334 c) (* a b))
0.8b	(fma c a (- (* 0.8333333333333334 c) (* a b)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
8×	`add-log-exp`
6×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`associate-/r` `fma-udef` `associate-/l`
2×	`exp-sum` `associate-/r/`
1×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `exp-prod` `flip3--` `exp-to-pow` `frac-2neg` `distribute-lft-in` `flip3-+` `fma-neg` `diff-log` `div-exp` `prod-diff` `clear-num` `flip--` `flip-+` `div-inv` `rem-exp-log`

Counts

4 → 71

Calls

4 calls:

1.0ms	(exp (* 2.0 (fma c a (- (* 0.8333333333333334 c) (* a b)))))
4.0ms	(/ x (+ x (* y (exp (* 2.0 (fma c a (- (* 0.8333333333333334 c) (* a b))))))))
3.0ms	(- (* 0.8333333333333334 c) (* a b))
0.0ms	(fma c a (- (* 0.8333333333333334 c) (* a b)))

series234.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(exp (* 2.0 (fma c a (- (* 0.8333333333333334 c) (* a b)))))
110.0ms	(/ x (+ x (* y (exp (* 2.0 (fma c a (- (* 0.8333333333333334 c) (* a b))))))))
39.0ms	(- (* 0.8333333333333334 c) (* a b))
43.0ms	(fma c a (- (* 0.8333333333333334 c) (* a b)))

simplify117.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 3 (108.0ms)

Iter	Nodes	Cost
0	305	748
1	1028	676
2	4173	668
3	5001	665

prune298.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes273.0ms

Accuracy

0% (1.5b remaining)

Error of 2.3b against oracle of 0.8b and baseline of 2.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	28
1	47	28
2	47	28

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.2s	8000×	body	80	valid
970.0ms	8013×	body	80	nan