Details

sample329.0ms

Algorithm

intervals

Results

171.0ms	1429×	body	80	nan
60.0ms	426×	body	80	valid
7.0ms	14×	body	640	valid
6.0ms	17×	body	320	valid
4.0ms	4×	body	1280	valid
3.0ms	13×	body	160	valid

simplify38.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	10
1	58	10
2	129	10
3	318	10
4	1073	10
5	5001	10

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
0.0b	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
0.2b	(* y (- (log z) t))
6.3b	(log (- 1.0 z))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

27×	`log-prod`
24×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
22×	`associate--l+`
17×	`distribute-rgt-in` `distribute-lft-in`
14×	`add-cube-cbrt` `associate-+r+`
10×	`associate-+l+` `associate-*r/`
9×	`add-log-exp`
8×	`pow1`
7×	`add-exp-log`
6×	`sub-neg` `flip3--` `associate-r` `add-cbrt-cube` `flip--`
5×	`distribute-lft-out--`
4×	`frac-add` `difference-of-squares`
3×	`exp-prod` `associate-l`
2×	`log-div` `sum-log` `log-pow` `rem-exp-log`
1×	`+-commutative` `flip3-+` `rem-log-exp` `exp-sum` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 101

Calls

4 calls:

13.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
17.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
15.0ms	(* y (- (log z) t))
2.0ms	(log (- 1.0 z))

series438.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
141.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
65.0ms	(* y (- (log z) t))
47.0ms	(log (- 1.0 z))

simplify65.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	630	971
1	2443	914
2	5001	902

prune408.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.0b	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
0.0b	(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
0.2b	(* y (- (log z) t))

rewrite539.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
25×	`associate--l+`
24×	`add-sqr-sqrt`
15×	`log-prod`
14×	`add-cube-cbrt`
13×	`associate-r`
12×	`distribute-rgt-in` `distribute-lft-in`
11×	`pow1`
9×	`distribute-lft-out--`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`sub-neg`
6×	`associate-l`
4×	`associate-*r/`
3×	`exp-prod` `flip3--` `log-pow` `flip--` `difference-of-squares`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `rem-exp-log` `unswap-sqr`
1×	`diff-log` `exp-sum` `sum-log`

Counts

4 → 102

Calls

4 calls:

4.0ms	(- (log z) t)
412.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
108.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
13.0ms	(* y (- (log z) t))

series396.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(- (log z) t)
102.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
167.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
70.0ms	(* y (- (log z) t))

simplify57.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	467	1022
1	1787	915
2	5002	907

prune424.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
0.0b	(cbrt (pow (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))) 3))
0.1b	(pow (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))) 3)
0.2b	(* y (- (log z) t))

rewrite329.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
16×	`add-cube-cbrt`
14×	`cbrt-prod`
8×	`pow1` `unpow-prod-down` `cube-prod`
7×	`add-cbrt-cube` `add-log-exp`
6×	`add-exp-log` `log-prod` `exp-prod` `associate-r` `associate--l+`
5×	`distribute-rgt-in` `distribute-lft-in` `exp-sum`
4×	`pow-pow`
3×	`pow-unpow` `associate-l`
2×	`cube-mult` `sub-neg` `unpow3` `associate-*r/` `rem-exp-log` `distribute-lft-out--` `sqr-pow`
1×	`pow-to-exp` `flip3--` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `log-pow` `*-commutative` `flip--` `rem-cbrt-cube` `cbrt-unprod` `rem-cube-cbrt` `difference-of-squares` `unswap-sqr`

Counts

4 → 97

Calls

4 calls:

107.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
95.0ms	(cbrt (pow (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))) 3))
112.0ms	(pow (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))) 3)
13.0ms	(* y (- (log z) t))

series709.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
165.0ms	(cbrt (pow (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))) 3))
312.0ms	(pow (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))) 3)
70.0ms	(* y (- (log z) t))

simplify63.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	412	1674
1	1660	1565
2	5001	1546

prune429.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (pow (exp 1) (* (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))) 3)))
0.0b	(pow (exp 1) (* (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))) 3))
0.2b	(* y (- (log z) t))
0.3b	(* (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))) 3)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
14×	`add-cube-cbrt`
10×	`pow1` `associate-*r/`
9×	`associate-r`
8×	`add-exp-log` `add-cbrt-cube`
7×	`cbrt-prod`
6×	`unpow-prod-down` `log-prod` `associate-l` `associate-*l/` `associate--l+`
5×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `flip--`
4×	`pow-pow` `frac-add` `add-log-exp`
3×	`exp-prod`
2×	`sub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr` `sqr-pow`
1×	`pow-to-exp` `pow-unpow` `flip3-+` `pow1/3` `pow-exp` `log-pow` `flip-+` `difference-of-squares`

Counts

4 → 90

Calls

4 calls:

2.0ms	(cbrt (pow (exp 1) (* (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))) 3)))
2.0ms	(pow (exp 1) (* (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))) 3))
13.0ms	(* y (- (log z) t))
23.0ms	(* (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))) 3)

series795.0ms

Counts

4 → 12

Calls

4 calls:

263.0ms	(cbrt (pow (exp 1) (* (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))) 3)))
190.0ms	(pow (exp 1) (* (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))) 3))
72.0ms	(* y (- (log z) t))
270.0ms	(* (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))) 3)

simplify75.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	611	1742
1	2596	1606
2	5003	1552

prune512.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes232.0ms

Accuracy

0% (0.0b remaining)

Error of 0.4b against oracle of 0.4b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	18
1	35	18

end0.0ms

sample9.2s

Algorithm

intervals

Results

4.9s	41664×	body	80	nan
1.8s	12748×	body	80	valid
210.0ms	377×	body	640	valid
148.0ms	400×	body	320	valid
74.0ms	79×	body	1280	valid
74.0ms	275×	body	160	valid