Details

sample205.0ms

Algorithm

intervals

Results

76.0ms	1571×	body	80	nan
28.0ms	484×	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: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.2b	(* y (log z))
0.8b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.2b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite272.0ms

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:

22.0ms	(* (- t 1.0) (log a))
8.0ms	(* y (log z))
71.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
167.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series364.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (- t 1.0) (log a))
39.0ms	(* y (log z))
108.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
164.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify66.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (50.0ms)

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

prune417.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
16×	`div-exp`
13×	`add-cbrt-cube`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `prod-exp`
5×	`add-log-exp`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `pow-exp` `log1p-expm1-u`
3×	`exp-prod` `times-frac` `associate-/r*` `fma-udef`
2×	`cbrt-unprod`
1×	`pow-to-exp` `rec-exp` `frac-2neg` `1-exp` `associate-r/` `exp-sum` `clear-num` `div-inv` `rem-exp-log` `associate-/l/` `associate-/l`

Counts

4 → 65

Calls

4 calls:

2.0ms	(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)
26.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y)

series551.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))
79.0ms	(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
73.0ms	(fma (log (/ 1 a)) t b)
320.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y)

simplify48.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	451	876
1	1703	729
2	5001	720

prune318.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

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)
0.9b	(/ x (/ y (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

2775×	`times-frac`
1119×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
624×	`unpow-prod-down`
221×	`associate-/r*`
207×	`fma-udef`
205×	`exp-sum`
65×	`div-inv`
48×	`sqr-pow`
27×	`add-exp-log`
23×	`div-exp`
13×	`add-cbrt-cube`
6×	`cbrt-undiv`
5×	`associate-/r/` `add-log-exp`
4×	`pow1` `expm1-log1p-u` `pow-exp` `log1p-expm1-u`
3×	`exp-prod` `associate-/l*`
1×	`pow-to-exp` `rec-exp` `frac-2neg` `1-exp` `clear-num` `rem-exp-log`

Counts

4 → 945

Calls

4 calls:

2.0ms	(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)
64.0ms	(/ x (/ y (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))))

series573.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))
78.0ms	(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
72.0ms	(fma (log (/ 1 a)) t b)
331.0ms	(/ x (/ y (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))))

simplify277.0ms

Algorithm

egg-herbie

Counts

957 → 957

Iterations

Useful iterations: 1 (76.0ms)

Iter	Nodes	Cost
0	4781	23557
1	5001	23113

prune4.4s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite834.0ms

Algorithm

rewrite-expression-head

Rules

101×	`add-exp-log`
50×	`prod-exp`
48×	`add-sqr-sqrt`
43×	`unpow-prod-down`
42×	`div-exp`
41×	`associate-l`
39×	`pow-exp`
30×	`times-frac`
29×	`*-un-lft-identity`
26×	`add-cube-cbrt`
17×	`add-cbrt-cube`
13×	`associate-r`
12×	`pow1` `pow-to-exp`
11×	`unswap-sqr`
10×	`add-log-exp`
9×	`rec-exp` `1-exp`
7×	`sqr-pow`
6×	`log-pow` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`exp-prod` `sum-log` `*-commutative` `rem-exp-log`
2×	`cbrt-undiv` `distribute-lft-neg-out` `pow-flip` `log-rec` `pow-prod-down` `div-inv` `inv-pow`
1×	`associate-*r/` `exp-sum`

Counts

4 → 159

Calls

4 calls:

72.0ms	(exp (+ (* (log (/ 1 z)) y) (+ (* (log (/ 1 a)) t) b)))
10.0ms	(* (log (/ 1 z)) y)
10.0ms	(* (log (/ 1 a)) t)
735.0ms	(* (pow (/ 1 (pow a 1.0)) 1.0) (/ x (* (exp (+ (* (log (/ 1 z)) y) (+ (* (log (/ 1 a)) t) b))) y)))

series590.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(exp (+ (* (log (/ 1 z)) y) (+ (* (log (/ 1 a)) t) b)))
54.0ms	(* (log (/ 1 z)) y)
58.0ms	(* (log (/ 1 a)) t)
386.0ms	(* (pow (/ 1 (pow a 1.0)) 1.0) (/ x (* (exp (+ (* (log (/ 1 z)) y) (+ (* (log (/ 1 a)) t) b))) y)))

simplify81.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	758	2162
1	2786	1929
2	5001	1876

prune621.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes236.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	15
1	31	15

end0.0ms

sample5.8s

Algorithm

intervals

Results

2.1s	45341×	body	80	nan
905.0ms	15369×	body	80	valid