Details

sample184.0ms

Algorithm

intervals

Results

76.0ms	1577×	body	80	nan
31.0ms	483×	body	80	valid

simplify50.0ms

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

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(* y (log z))
0.3b	(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.0b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite237.0ms

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:

4.0ms	(* y (log z))
112.0ms	(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
34.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
82.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series476.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* y (log z))
146.0ms	(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
111.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
165.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify88.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	506	1444
1	2127	1104
2	5002	1062

prune572.0ms

Filtered

126 candidates to 95 candidates (75.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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

rewrite63.0ms

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 y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
0.0ms	(fma (log (/ 1 a)) t b)
40.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))
14.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y)

series834.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
75.0ms	(fma (log (/ 1 a)) t b)
347.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))
333.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y)

simplify89.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	904	2177
1	4141	1915
2	5001	1905

prune705.0ms

Filtered

165 candidates to 124 candidates (75.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ y (/ (pow (/ 1 a) 1.0) (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)
0.5b	(/ x (/ y (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))))

rewrite236.0ms

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:

24.0ms	(/ y (/ (pow (/ 1 a) 1.0) (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)
66.0ms	(/ x (/ y (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))))

series760.0ms

Counts

4 → 12

Calls

4 calls:

268.0ms	(/ y (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))))
80.0ms	(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
76.0ms	(fma (log (/ 1 a)) t b)
335.0ms	(/ x (/ y (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))))

simplify344.0ms

Algorithm

egg-herbie

Counts

1256 → 1256

Iterations

Useful iterations: 1 (78.0ms)

Iter	Nodes	Cost
0	4928	30290
1	5001	30288

prune7.1s

Filtered

1256 candidates to 1024 candidates (81.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (log (/ 1 z)) y) (+ (* (log (/ 1 a)) t) b))
0.2b	(* (log (/ 1 a)) t)
0.3b	(* (log (/ 1 z)) y)
0.5b	(/ x (* (pow (pow a 1.0) 1.0) (* (exp (+ (* (log (/ 1 z)) y) (+ (* (log (/ 1 a)) t) b))) y)))

rewrite374.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-exp-log`
17×	`prod-exp` `add-cbrt-cube`
14×	`add-sqr-sqrt`
12×	`pow1` `associate-l`
11×	`div-exp`
10×	`add-cube-cbrt` `*-un-lft-identity`
9×	`add-log-exp`
8×	`pow-exp`
6×	`associate-r` `log-pow`
5×	`cbrt-unprod`
4×	`expm1-log1p-u` `pow-to-exp` `log1p-expm1-u`
3×	`cbrt-undiv` `times-frac` `sum-log` `associate-/l*`
2×	`distribute-lft-neg-out` `pow-flip` `log-rec` `pow-prod-down` `*-commutative` `inv-pow` `unswap-sqr`
1×	`+-commutative` `associate-+r+` `fma-def` `frac-2neg` `flip3-+` `clear-num` `associate-/r*` `flip-+` `div-inv`

Counts

4 → 97

Calls

4 calls:

11.0ms	(+ (* (log (/ 1 z)) y) (+ (* (log (/ 1 a)) t) b))
5.0ms	(* (log (/ 1 a)) t)
5.0ms	(* (log (/ 1 z)) y)
350.0ms	(/ x (* (pow (pow a 1.0) 1.0) (* (exp (+ (* (log (/ 1 z)) y) (+ (* (log (/ 1 a)) t) b))) y)))

series572.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(+ (* (log (/ 1 z)) y) (+ (* (log (/ 1 a)) t) b))
58.0ms	(* (log (/ 1 a)) t)
64.0ms	(* (log (/ 1 z)) y)
355.0ms	(/ x (* (pow (pow a 1.0) 1.0) (* (exp (+ (* (log (/ 1 z)) y) (+ (* (log (/ 1 a)) t) b))) y)))

simplify71.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	570	1056
1	2223	884
2	5002	860

prune445.0ms

Filtered

109 candidates to 79 candidates (72.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes407.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	14
1	30	14

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.2s	44786×	body	80	nan
889.0ms	15048×	body	80	valid