Details

sample194.0ms

Algorithm

intervals

Results

67.0ms	1340×	body	80	nan
27.0ms	474×	body	80	valid

simplify51.0ms

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

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.3b	(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
0.3b	(* y (log z))
0.7b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite500.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 114

Calls

4 calls:

175.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
234.0ms	(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
8.0ms	(* y (log z))
78.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series525.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
168.0ms	(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
37.0ms	(* y (log z))
130.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify61.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	506	1444
1	2127	1104
2	5001	1060

prune447.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (log (/ 1 a)) t b)
0.1b	(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
0.2b	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y)
0.3b	(* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
74×	`add-sqr-sqrt`
72×	`associate-r`
58×	`*-un-lft-identity`
57×	`add-cube-cbrt`
55×	`unpow-prod-down`
41×	`add-exp-log`
24×	`div-exp`
19×	`fma-udef`
18×	`add-cbrt-cube`
17×	`exp-sum`
14×	`prod-exp`
8×	`pow-exp`
6×	`pow1` `div-inv` `unswap-sqr`
5×	`cbrt-undiv` `sqr-pow`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `associate-/r*`
2×	`pow-to-exp` `rec-exp` `1-exp` `associate-*r/`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `associate-/l/` `associate-/l`

Counts

4 → 153

Calls

4 calls:

0.0ms	(fma (log (/ 1 a)) t b)
0.0ms	(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
23.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y)
52.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))

series898.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(fma (log (/ 1 a)) t b)
90.0ms	(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
361.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y)
364.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))

simplify97.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	904	2177
1	4142	1915
2	5003	1905

prune743.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))
0.1b	(fma (log (/ 1 a)) t b)
0.1b	(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
0.7b	(* x (/ (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))) y))

rewrite208.0ms

Algorithm

rewrite-expression-head

Rules

541×	`times-frac`
254×	`add-sqr-sqrt`
230×	`*-un-lft-identity`
229×	`add-cube-cbrt`
220×	`associate-r`
159×	`unpow-prod-down`
54×	`fma-udef`
52×	`exp-sum`
27×	`add-exp-log`
16×	`div-inv`
15×	`div-exp`
13×	`add-cbrt-cube` `sqr-pow`
8×	`prod-exp`
7×	`unswap-sqr`
6×	`pow1`
5×	`add-log-exp`
4×	`expm1-log1p-u` `pow-exp` `log1p-expm1-u`
3×	`cbrt-undiv` `exp-prod` `associate-l` `cbrt-unprod`
1×	`pow-to-exp` `rec-exp` `1-exp` `associate-r/` `pow-prod-down` `-commutative` `rem-exp-log`

Counts

4 → 287

Calls

4 calls:

4.0ms	(exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))
0.0ms	(fma (log (/ 1 a)) t b)
1.0ms	(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
151.0ms	(* x (/ (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))) y))

series638.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))
80.0ms	(fma (log (/ 1 a)) t b)
88.0ms	(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
373.0ms	(* x (/ (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))) y))

simplify67.0ms

Algorithm

egg-herbie

Counts

299 → 299

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1865	4199
1	5001	3972

prune1.7s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt a) (cbrt a))
0.6b	(cbrt a)
0.6b	(cbrt a)
0.6b	(cbrt a)

rewrite15.0ms

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:

10.0ms	(* (cbrt a) (cbrt a))
1.0ms	(cbrt a)
1.0ms	(cbrt a)
1.0ms	(cbrt a)

series724.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(* (cbrt a) (cbrt a))
179.0ms	(cbrt a)
171.0ms	(cbrt a)
177.0ms	(cbrt a)

simplify90.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (85.0ms)

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

prune563.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes215.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	34
1	36	34

end0.0ms

sample6.1s

Algorithm

intervals

Results

2.2s	44858×	body	80	nan
897.0ms	15172×	body	80	valid