Details

Time bar (total: 31.2s)

sample412.0ms

Algorithm
intervals
Results
135.0ms1482×body80nan
106.0ms486×body80valid

simplify913.0ms

Counts
1 → 1

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize72.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- t 1.0) (log a))
0.3b
(* y (log z))
0.6b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.9b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite461.0ms

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:
32.0ms
(* (- t 1.0) (log a))
9.0ms
(* y (log z))
281.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
133.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series653.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(* (- t 1.0) (log a))
71.0ms
(* y (log z))
288.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
209.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify965.0ms

Counts
107 → 107

prune510.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize37.0ms

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)))))
0.3b
(* y (log (/ 1 z)))
0.3b
(* (log (/ 1 a)) t)
0.6b
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

rewrite862.0ms

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:
454.0ms
(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
15.0ms
(* y (log (/ 1 z)))
11.0ms
(* (log (/ 1 a)) t)
369.0ms
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

series1.3s

Counts
4 → 12
Calls
4 calls:
527.0ms
(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
72.0ms
(* y (log (/ 1 z)))
119.0ms
(* (log (/ 1 a)) t)
555.0ms
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

simplify699.0ms

Counts
211 → 211

prune1.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.6b
(/ (* (* (cbrt (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (cbrt (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))))) (cbrt (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))))) y)
1.3b
(cbrt (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))))
1.3b
(cbrt (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))))
1.3b
(cbrt (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))))

rewrite976.0ms

Algorithm
rewrite-expression-head
Rules
18×associate-*r/
15×cbrt-div
13×add-exp-log
9×add-cbrt-cube
7×associate-/l/
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×frac-times associate-*l/
4×pow1 add-log-exp
3×cbrt-undiv cbrt-prod times-frac pow1/3 div-exp prod-exp associate-/r* cbrt-unprod
1×frac-2neg clear-num div-inv associate-/l*
Counts
4 → 60
Calls
4 calls:
40.0ms
(/ (* (* (cbrt (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (cbrt (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))))) (cbrt (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))))) y)
304.0ms
(cbrt (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))))
335.0ms
(cbrt (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))))
295.0ms
(cbrt (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))))

series2.8s

Counts
4 → 12
Calls
4 calls:
595.0ms
(/ (* (* (cbrt (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (cbrt (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))))) (cbrt (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))))) y)
750.0ms
(cbrt (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))))
752.0ms
(cbrt (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))))
705.0ms
(cbrt (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))))

simplify829.0ms

Counts
72 → 72

prune757.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
2.5b
(/ (* x (* (pow a (- t 1.0)) (pow z y))) (exp b))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log
19×prod-exp
13×add-cbrt-cube
11×div-exp
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow-to-exp pow-exp
4×pow1 add-log-exp
3×cbrt-undiv times-frac pow1/3 associate-/r* cbrt-unprod
1×frac-2neg associate-*r/ associate-*l/ clear-num div-inv associate-/l/ associate-/l* pow-sub
Counts
4 → 65
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
43.0ms
(/ (* x (* (pow a (- t 1.0)) (pow z y))) (exp b))

series1.1s

Counts
4 → 12
Calls
4 calls:
232.0ms
(cbrt y)
249.0ms
(cbrt y)
314.0ms
(cbrt y)
339.0ms
(/ (* x (* (pow a (- t 1.0)) (pow z y))) (exp b))

simplify798.0ms

Counts
77 → 77

prune487.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes892.0ms

Accuracy

-1738.7% (23.2b remaining)

Error of 23.3b against oracle of 0.1b and baseline of 1.3b

bsearch0.0ms

simplify1.1s

end0.0ms

sample13.2s

Algorithm
intervals
Results
6.6s45302×body80nan
2.1s15154×body80valid