Details

sample211.0ms

Algorithm

intervals

Results

76.0ms	1613×	body	80	nan
29.0ms	502×	body	80	valid

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	32	10
1	65	10
2	181	8
3	522	8
4	2203	8
5	5002	8

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.2b	(* y (log z))
1.0b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite276.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
15×	`add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`add-exp-log` `log-prod`
10×	`pow1` `add-log-exp`
8×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`exp-prod`
3×	`times-frac` `exp-sum` `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 → 95

Calls

4 calls:

23.0ms	(* (- t 1.0) (log a))
8.0ms	(* y (log z))
169.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
73.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series362.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (- t 1.0) (log a))
38.0ms	(* y (log z))
161.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
112.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify53.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	493	869
1	2033	715
2	5001	683

prune357.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite531.0ms

Algorithm

rewrite-expression-head

Rules

132×	`times-frac`
96×	`add-sqr-sqrt`
81×	`associate-r`
76×	`*-un-lft-identity`
75×	`add-cube-cbrt`
55×	`unpow-prod-down`
45×	`add-exp-log`
26×	`log-prod`
24×	`div-exp`
22×	`add-cbrt-cube`
17×	`exp-sum`
16×	`prod-exp`
14×	`pow1`
13×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-l`
8×	`pow-exp` `div-inv` `unswap-sqr`
6×	`log-pow` `cbrt-unprod`
5×	`cbrt-undiv` `sqr-pow`
4×	`add-log-exp`
3×	`pow-prod-down` `associate-/r` `-commutative`
2×	`pow-to-exp` `rec-exp` `pow-flip` `1-exp` `associate-*r/` `log-rec` `inv-pow`
1×	`distribute-lft-neg-out` `frac-2neg` `clear-num` `distribute-rgt-neg-out` `associate-/l/` `associate-/l*`

Counts

4 → 199

Calls

4 calls:

294.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
14.0ms	(* y (log (/ 1 z)))
11.0ms	(* (log (/ 1 a)) t)
202.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

series739.0ms

Counts

4 → 12

Calls

4 calls:

318.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
35.0ms	(* y (log (/ 1 z)))
60.0ms	(* (log (/ 1 a)) t)
326.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

simplify54.0ms

Algorithm

egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1077	2667
1	5002	2322

prune795.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (* (log (/ 1 a)) t))
0.8b	(cbrt (* (log (/ 1 a)) t))
0.8b	(cbrt (* (log (/ 1 a)) t))
1.0b	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (* (cbrt (* (log (/ 1 a)) t)) (cbrt (* (log (/ 1 a)) t))) (cbrt (* (log (/ 1 a)) t))) b))))) y)

rewrite541.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

4.0ms	(cbrt (* (log (/ 1 a)) t))
4.0ms	(cbrt (* (log (/ 1 a)) t))
4.0ms	(cbrt (* (log (/ 1 a)) t))
527.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (* (cbrt (* (log (/ 1 a)) t)) (cbrt (* (log (/ 1 a)) t))) (cbrt (* (log (/ 1 a)) t))) b))))) y)

series674.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(cbrt (* (log (/ 1 a)) t))
108.0ms	(cbrt (* (log (/ 1 a)) t))
105.0ms	(cbrt (* (log (/ 1 a)) t))
349.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (* (cbrt (* (log (/ 1 a)) t)) (cbrt (* (log (/ 1 a)) t))) (cbrt (* (log (/ 1 a)) t))) b))))) y)

simplify44.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	436	1254
1	1633	929
2	5001	834

prune311.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (* (log (/ 1 a)) t))
0.8b	(cbrt (* (log (/ 1 a)) t))
0.8b	(cbrt (* (log (/ 1 a)) t))
1.0b	(* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (* (cbrt (* (log (/ 1 a)) t)) (cbrt (* (log (/ 1 a)) t))) (cbrt (* (log (/ 1 a)) t))) b))))) (/ 1 y))

rewrite2.1s

Algorithm

rewrite-expression-head

Rules

104×	`add-exp-log`
60×	`prod-exp`
48×	`div-exp`
25×	`add-cbrt-cube`
16×	`pow-exp`
13×	`associate-r`
12×	`rec-exp` `1-exp`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`cbrt-unprod`
9×	`pow1` `times-frac`
5×	`cbrt-undiv`
4×	`pow-to-exp` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-*r/` `pow-prod-down`
1×	`frac-times` `associate-l` `associate-l/` `un-div-inv` `-commutative` `div-inv`

Counts

4 → 93

Calls

4 calls:

4.0ms	(cbrt (* (log (/ 1 a)) t))
4.0ms	(cbrt (* (log (/ 1 a)) t))
4.0ms	(cbrt (* (log (/ 1 a)) t))
2.1s	(* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (* (cbrt (* (log (/ 1 a)) t)) (cbrt (* (log (/ 1 a)) t))) (cbrt (* (log (/ 1 a)) t))) b))))) (/ 1 y))

series856.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(cbrt (* (log (/ 1 a)) t))
299.0ms	(cbrt (* (log (/ 1 a)) t))
106.0ms	(cbrt (* (log (/ 1 a)) t))
344.0ms	(* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (* (cbrt (* (log (/ 1 a)) t)) (cbrt (* (log (/ 1 a)) t))) (cbrt (* (log (/ 1 a)) t))) b))))) (/ 1 y))

simplify66.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	659	2383
1	2589	1659
2	5002	1513

prune318.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes335.0ms

Accuracy

0% (1.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	25
1	32	25

end0.0ms

sample5.8s

Algorithm

intervals

Results

2.1s	45412×	body	80	nan
872.0ms	15223×	body	80	valid