Details

sample281.0ms

Algorithm

intervals

Results

141.0ms	1535×	body	80	nan
60.0ms	499×	body	80	valid

simplify53.0ms

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

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.1b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite131.0ms

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:

11.0ms	(* (- t 1.0) (log a))
4.0ms	(* y (log z))
33.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
80.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series388.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (- t 1.0) (log a))
42.0ms	(* y (log z))
115.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
171.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify61.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (51.0ms)

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

prune426.0ms

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	(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)
1.1b	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y)

rewrite16.0ms

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:

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

series808.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))
81.0ms	(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
76.0ms	(fma (log (/ 1 a)) t b)
565.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y)

simplify45.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (36.0ms)

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

prune329.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (/ (* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y))
1.1b	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y)
1.1b	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y)
1.1b	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-exp-log`
48×	`div-exp`
31×	`add-cbrt-cube`
21×	`prod-exp`
12×	`cbrt-undiv` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac` `pow-exp`
9×	`associate-/r*`
7×	`cbrt-prod`
6×	`cbrt-unprod`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`pow-to-exp` `rec-exp` `frac-2neg` `1-exp` `associate-r/` `clear-num` `associate-/l/` `associate-/l`
1×	`cbrt-div` `pow1/3`

Counts

4 → 111

Calls

4 calls:

11.0ms	(cbrt (/ (* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y))
13.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y)
13.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y)
16.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y)

series1.5s

Counts

4 → 12

Calls

4 calls:

473.0ms	(cbrt (/ (* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y))
347.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y)
330.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y)
333.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y)

simplify60.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	519	2085
1	1980	1720
2	5001	1686

prune628.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

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	(cbrt (pow (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))) 3))
1.1b	(/ (* x (/ (pow (/ 1 a) 1.0) (cbrt (pow (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))) 3)))) y)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-exp-log`
16×	`div-exp`
14×	`cbrt-prod`
12×	`add-cbrt-cube`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`prod-exp`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `unpow-prod-down` `cube-prod` `pow-exp` `fma-udef` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `associate-/r*`
2×	`exp-sum` `cbrt-unprod`
1×	`cube-mult` `pow-to-exp` `rec-exp` `frac-2neg` `pow1/3` `1-exp` `unpow3` `associate-r/` `clear-num` `rem-cbrt-cube` `div-inv` `associate-/l/` `associate-/l` `sqr-pow`

Counts

4 → 76

Calls

4 calls:

0.0ms	(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
0.0ms	(fma (log (/ 1 a)) t b)
2.0ms	(cbrt (pow (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))) 3))
26.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (cbrt (pow (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))) 3)))) y)

series584.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
78.0ms	(fma (log (/ 1 a)) t b)
87.0ms	(cbrt (pow (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))) 3))
338.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (cbrt (pow (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))) 3)))) y)

simplify62.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	503	1102
1	1999	959
2	5003	929

prune366.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes306.0ms

Accuracy

81.1% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.2b

bsearch147.0ms

Steps

Iters	Range		Point
8	7.285983061509262e-107	2.3573566013167795e-103	3.1520248947255987e-105

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	26
1	31	26

end0.0ms

sample8.3s

Algorithm

intervals

Results

4.2s	46351×	body	80	nan
1.9s	15219×	body	80	valid