Details

sample74.0ms

Algorithm

intervals

Results

18.0ms	234×	body	80	nan
17.0ms	256×	body	80	valid

simplify38.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.5b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 2.0 (* t 3.0))
0.3b	(* z (sqrt (+ t a)))
2.4b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
3.8b	(/ (* z (sqrt (+ t a))) t)

rewrite115.0ms

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	(/ 2.0 (* t 3.0))
21.0ms	(* z (sqrt (+ t a)))
62.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
16.0ms	(/ (* z (sqrt (+ t a))) t)

series343.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(/ 2.0 (* t 3.0))
63.0ms	(* z (sqrt (+ t a)))
184.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
79.0ms	(/ (* z (sqrt (+ t a))) t)

simplify51.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1377	2637
1	5001	2324

prune878.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.7b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 2.0 (* t 3.0))
0.3b	(/ 2.0 (* t 3.0))
0.3b	(* z (sqrt (+ t a)))
3.9b	(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (- b c))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

7.0ms	(/ 2.0 (* t 3.0))
7.0ms	(/ 2.0 (* t 3.0))
23.0ms	(* z (sqrt (+ t a)))
0.0ms	(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (- b c))))

series298.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(/ 2.0 (* t 3.0))
16.0ms	(/ 2.0 (* t 3.0))
63.0ms	(* z (sqrt (+ t a)))
202.0ms	(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (- b c))))

simplify44.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	391	525
1	1414	450
2	5001	441

prune515.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.7b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 2.0 (* t 3.0))
0.3b	(* z (sqrt (+ t a)))
1.7b	(log (exp (fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (- b c))))))
3.9b	(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (- b c))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

7.0ms	(/ 2.0 (* t 3.0))
23.0ms	(* z (sqrt (+ t a)))
3.0ms	(log (exp (fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (- b c))))))
0.0ms	(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (- b c))))

series488.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/ 2.0 (* t 3.0))
63.0ms	(* z (sqrt (+ t a)))
206.0ms	(log (exp (fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (- b c))))))
202.0ms	(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (- b c))))

simplify46.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	426	785
1	1485	675
2	5002	664

prune529.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.7b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 2.0 (* t 3.0))
0.3b	(* z (sqrt (+ t a)))
3.9b	(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3))) (- b c))))
41.2b	(cbrt (pow (/ 2.0 (* t 3.0)) 3))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
18×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
11×	`add-exp-log` `add-cbrt-cube`
9×	`times-frac`
7×	`unpow-prod-down` `cube-prod` `associate-r`
6×	`pow1`
5×	`sqrt-prod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `div-inv` `associate-/l*`
2×	`cbrt-undiv` `sqrt-div` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cube-div` `cube-mult` `cbrt-div` `frac-2neg` `flip3-+` `pow1/3` `unpow3` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `rem-cbrt-cube` `flip-+` `fma-udef` `distribute-lft-out` `sqr-pow`

Counts

4 → 92

Calls

4 calls:

7.0ms	(/ 2.0 (* t 3.0))
21.0ms	(* z (sqrt (+ t a)))
0.0ms	(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3))) (- b c))))
6.0ms	(cbrt (pow (/ 2.0 (* t 3.0)) 3))

series300.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ 2.0 (* t 3.0))
59.0ms	(* z (sqrt (+ t a)))
201.0ms	(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3))) (- b c))))
21.0ms	(cbrt (pow (/ 2.0 (* t 3.0)) 3))

simplify52.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	512	594
1	2100	538
2	5002	531

prune543.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

regimes266.0ms

Accuracy

0% (2.3b remaining)

Error of 2.7b against oracle of 0.3b and baseline of 2.7b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	31
1	54	31
2	54	31

end0.0ms

sample1.9s

Algorithm

intervals

Results

541.0ms	8000×	body	80	valid
498.0ms	7765×	body	80	nan