Details

sample331.0ms

Algorithm

intervals

Results

172.0ms	1598×	body	80	nan
73.0ms	510×	body	80	valid

simplify55.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	33	10
1	73	10
2	197	8
3	558	8
4	2287	8
5	5001	8

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.2b	(* y (log z))
0.8b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.8b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
21×	`add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`add-exp-log` `log-prod` `exp-sum`
10×	`pow1` `add-log-exp`
9×	`prod-diff`
8×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`exp-prod`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `rem-exp-log`
2×	`cbrt-undiv` `exp-diff` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `log-pow` `-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`sub-neg` `flip3--` `frac-2neg` `associate-r/` `associate--l+` `clear-num` `sum-log` `flip--` `div-inv` `associate-/l/` `associate-/l`

Counts

4 → 112

Calls

4 calls:

12.0ms	(* (- t 1.0) (log a))
4.0ms	(* y (log z))
87.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
37.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series385.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (- t 1.0) (log a))
38.0ms	(* y (log z))
171.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
119.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify62.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	580	1143
1	2309	897
2	5002	860

prune427.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))
0.1b	(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
0.1b	(fma (log (/ 1 a)) t b)
7.8b	(/ (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))) (/ y x))

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

3049×	`times-frac`
1216×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
728×	`unpow-prod-down`
241×	`fma-udef`
239×	`exp-sum`
144×	`div-inv`
72×	`associate-/l*`
56×	`sqr-pow`
39×	`add-exp-log`
37×	`div-exp`
16×	`add-cbrt-cube`
13×	`associate-/r*`
8×	`cbrt-undiv` `pow-exp`
5×	`add-log-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`exp-prod`
2×	`pow-to-exp` `rec-exp` `1-exp`
1×	`frac-2neg` `clear-num` `associate-/r/` `rem-exp-log` `associate-/l/`

Counts

4 → 1087

Calls

4 calls:

1.0ms	(exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))
0.0ms	(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
0.0ms	(fma (log (/ 1 a)) t b)
49.0ms	(/ (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))) (/ y x))

series781.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))
85.0ms	(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
75.0ms	(fma (log (/ 1 a)) t b)
531.0ms	(/ (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))) (/ y x))

simplify270.0ms

Algorithm

egg-herbie

Counts

1099 → 1099

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5001	28990

prune5.6s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
0.1b	(fma (log (/ 1 a)) t b)
0.1b	(fma (log (/ 1 a)) t b)
0.3b	(* (/ (sqrt (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y) (* (sqrt (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) x))

rewrite206.0ms

Algorithm

rewrite-expression-head

Rules

537×	`times-frac`
233×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
229×	`associate-l`
216×	`sqrt-prod`
156×	`unpow-prod-down`
54×	`fma-udef`
51×	`exp-sum`
16×	`add-exp-log` `add-cbrt-cube` `div-inv`
12×	`sqr-pow`
9×	`pow1`
6×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `associate-*l/`
2×	`cbrt-undiv` `sqrt-div` `div-exp`
1×	`frac-times` `associate-r/` `associate-r` `-commutative`

Counts

4 → 283

Calls

4 calls:

0.0ms	(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
0.0ms	(fma (log (/ 1 a)) t b)
0.0ms	(fma (log (/ 1 a)) t b)
173.0ms	(* (/ (sqrt (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y) (* (sqrt (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) x))

series785.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
78.0ms	(fma (log (/ 1 a)) t b)
78.0ms	(fma (log (/ 1 a)) t b)
543.0ms	(* (/ (sqrt (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y) (* (sqrt (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) x))

simplify142.0ms

Algorithm

egg-herbie

Counts

295 → 295

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1662	6788
1	4808	6447
2	5002	6447

prune2.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series721.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(* (cbrt x) (cbrt x))
181.0ms	(cbrt x)
171.0ms	(cbrt x)
172.0ms	(cbrt x)

simplify92.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune518.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes309.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	25
1	25	25

end0.0ms

sample9.5s

Algorithm

intervals

Results

5.0s	46063×	body	80	nan
2.1s	15259×	body	80	valid