Details

sample171.0ms

Algorithm

intervals

Results

71.0ms	1349×	body	80	nan
29.0ms	475×	body	80	valid

simplify56.0ms

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

prune14.0ms

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))
0.3b	(* y (log z))
1.2b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
2.8b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite133.0ms

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))
33.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
81.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series384.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (- t 1.0) (log a))
41.0ms	(* y (log z))
116.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
173.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify67.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (51.0ms)

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

prune449.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (/ (pow (/ 1 a) 1.0) (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))
2.8b	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y)

rewrite58.0ms

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:

36.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))
0.0ms	(fma (log (/ 1 a)) t b)
0.0ms	(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
13.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y)

series841.0ms

Counts

4 → 12

Calls

4 calls:

337.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))
76.0ms	(fma (log (/ 1 a)) t b)
83.0ms	(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
344.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y)

simplify97.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	904	2177
1	4142	1915
2	5001	1905

prune744.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (/ (pow (/ 1 a) 1.0) (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))
1.2b	(/ x (/ y (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))))

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

3407×	`times-frac`
1391×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
832×	`unpow-prod-down`
293×	`associate-/r*`
274×	`fma-udef`
272×	`exp-sum`
86×	`div-inv`
64×	`sqr-pow`
41×	`add-exp-log`
38×	`div-exp`
18×	`add-cbrt-cube`
9×	`cbrt-undiv`
8×	`pow-exp`
6×	`associate-/r/` `associate-/l*`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `rec-exp` `frac-2neg` `1-exp` `clear-num`

Counts

4 → 1244

Calls

4 calls:

22.0ms	(/ y (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))
0.0ms	(fma (log (/ 1 a)) t b)
0.0ms	(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
61.0ms	(/ x (/ y (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))))

series925.0ms

Counts

4 → 12

Calls

4 calls:

254.0ms	(/ y (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))
72.0ms	(fma (log (/ 1 a)) t b)
80.0ms	(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
518.0ms	(/ x (/ y (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))))

simplify364.0ms

Algorithm

egg-herbie

Counts

1256 → 1256

Iterations

Useful iterations: 1 (80.0ms)

Iter	Nodes	Cost
0	4928	30290
1	5001	30288

prune6.8s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt a)
0.5b	(cbrt a)
0.5b	(cbrt a)
0.7b	(* (pow (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a))) 1.0) (/ x (/ y (/ (pow (/ (cbrt 1) (cbrt a)) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))))

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

6292×	`times-frac`
2643×	`add-sqr-sqrt`
2447×	`*-un-lft-identity`
2439×	`add-cube-cbrt`
1640×	`associate-r`
1497×	`unpow-prod-down`
1333×	`cbrt-prod`
396×	`exp-sum` `fma-udef`
228×	`add-exp-log`
140×	`div-exp`
77×	`prod-exp`
53×	`sqr-pow`
50×	`div-inv`
49×	`pow-exp`
48×	`unswap-sqr`
18×	`add-cbrt-cube`
14×	`pow-to-exp`
9×	`associate-l`
6×	`cbrt-undiv`
4×	`pow1` `expm1-log1p-u` `associate-/r/` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`associate-r/` `-commutative`

Counts

4 → 1800

Calls

4 calls:

0.0ms	(cbrt a)
0.0ms	(cbrt a)
1.0ms	(cbrt a)
733.0ms	(* (pow (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a))) 1.0) (/ x (/ y (/ (pow (/ (cbrt 1) (cbrt a)) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))))

series1.0s

Counts

4 → 12

Calls

4 calls:

188.0ms	(cbrt a)
184.0ms	(cbrt a)
179.0ms	(cbrt a)
461.0ms	(* (pow (/ (* (cbrt 1) (cbrt 1)) (* (cbrt a) (cbrt a))) 1.0) (/ x (/ y (/ (pow (/ (cbrt 1) (cbrt a)) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))))

simplify434.0ms

Algorithm

egg-herbie

Counts

1812 → 1812

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5001	50393

prune15.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes268.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	46
1	39	46

end0.0ms

sample5.4s

Algorithm

intervals

Results

2.4s	45637×	body	80	nan
962.0ms	15277×	body	80	valid