Details

sample74.0ms

Algorithm

intervals

Results

22.0ms	256×	body	80	valid
19.0ms	273×	body	80	nan

simplify38.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune5.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.5b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (sqrt (+ t a)))
0.3b	(/ 2.0 (* t 3.0))
3.3b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.7b	(/ (* z (sqrt (+ t a))) t)

rewrite55.0ms

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:

7.0ms	(* z (sqrt (+ t a)))
5.0ms	(/ 2.0 (* t 3.0))
25.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
8.0ms	(/ (* z (sqrt (+ t a))) t)

series348.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* z (sqrt (+ t a)))
16.0ms	(/ 2.0 (* t 3.0))
184.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
81.0ms	(/ (* z (sqrt (+ t a))) t)

simplify53.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1377	2637
1	5001	2324

prune941.0ms

Filtered

191 candidates to 137 candidates (71.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

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

rewrite21.0ms

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:

7.0ms	(/ (sqrt (+ t a)) t)
5.0ms	(/ 2.0 (* t 3.0))
5.0ms	(/ 2.0 (* t 3.0))
1.0ms	(fma z (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

series314.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(/ (sqrt (+ t a)) t)
16.0ms	(/ 2.0 (* t 3.0))
21.0ms	(/ 2.0 (* t 3.0))
211.0ms	(fma z (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

simplify41.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (31.0ms)

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

prune631.0ms

Filtered

115 candidates to 83 candidates (72.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 2.0 (* t 3.0))
0.3b	(/ 2.0 (* t 3.0))
2.0b	(fma z (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3))))))
40.6b	(cbrt (pow (/ 2.0 (* t 3.0)) 3))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
14×	`add-exp-log` `add-cbrt-cube`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
7×	`unpow-prod-down` `cube-prod`
6×	`associate-/l*`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod`
1×	`cube-div` `cube-mult` `cbrt-div` `pow1/3` `unpow3` `rem-cbrt-cube` `fma-udef` `sqr-pow`

Counts

4 → 88

Calls

4 calls:

5.0ms	(/ 2.0 (* t 3.0))
5.0ms	(/ 2.0 (* t 3.0))
1.0ms	(fma z (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3))))))
5.0ms	(cbrt (pow (/ 2.0 (* t 3.0)) 3))

series270.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(/ 2.0 (* t 3.0))
17.0ms	(/ 2.0 (* t 3.0))
220.0ms	(fma z (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3))))))
17.0ms	(cbrt (pow (/ 2.0 (* t 3.0)) 3))

simplify38.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	322	500
1	1234	460
2	5001	458

prune557.0ms

Filtered

100 candidates to 69 candidates (69.0%)

Pruning

3 alts after pruning (2 fresh and 1 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))
1.3b	(fma c a (- (* 0.8333333333333334 c) (* a b)))

rewrite13.0ms

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:

2.0ms	(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))))))))
4.0ms	(- (* 0.8333333333333334 c) (* a b))
1.0ms	(fma c a (- (* 0.8333333333333334 c) (* a b)))

series226.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(exp (* 2.0 (fma c a (- (* 0.8333333333333334 c) (* a b)))))
104.0ms	(/ 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)))

simplify110.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 3 (101.0ms)

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

prune283.0ms

Filtered

83 candidates to 65 candidates (78.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes317.0ms

Accuracy

65.9% (1.6b remaining)

Error of 2.5b against oracle of 0.9b and baseline of 5.6b

bsearch354.0ms

Steps

Iters	Range		Point
9	1.26098199983365e-107	2.7947717224823514e-99	1.1919992281966804e-103
8	-2.943708034696036e-124	-3.628751209483316e-128	-5.904096657441141e-125

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	64
1	91	64
2	91	64

end0.0ms

sample1.8s

Algorithm

intervals

Results

605.0ms	8000×	body	80	valid
567.0ms	8005×	body	80	nan