Details

Time bar (total: 23.7s)

sample179.0ms

Algorithm
intervals
Results
74.0ms1413×body80nan
31.0ms474×body80valid

simplify713.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (15.0ms)

IterNodesCost
01718
13218
26418
315716
446916
5188716
done500016

prune10.0ms

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))
0.3b
(* y (log z))
1.4b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.4b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite127.0ms

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:
11.0ms
(* (- t 1.0) (log a))
4.0ms
(* y (log z))
32.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
78.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series377.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(* (- t 1.0) (log a))
37.0ms
(* y (log z))
113.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
170.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify649.0ms

Counts
107 → 107
Iterations

Useful iterations: done (646.0ms)

IterNodesCost
02311531
14941495
216971213
done50001201

prune377.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (log a) t)
0.3b
(* y (log z))
5.6b
(/ (/ x y) (pow a 1.0))
8.4b
(/ (/ (/ x y) (pow a 1.0)) (exp (- (- b (* y (log z))) (* (log a) t))))

rewrite169.0ms

Algorithm
rewrite-expression-head
Rules
2060×times-frac
802×add-sqr-sqrt
798×add-cube-cbrt *-un-lft-identity
384×exp-sum
354×unpow-prod-down
192×sub-neg associate--l+
118×sqr-pow
108×associate-/l*
74×div-inv
35×add-exp-log
25×div-exp
22×add-cbrt-cube
14×associate-/r*
10×pow1
9×cbrt-undiv
7×associate-*r* associate-*l*
6×log-prod
4×pow-to-exp pow-exp add-log-exp
3×distribute-rgt-in distribute-lft-in
2×frac-2neg pow-prod-down prod-exp clear-num log-pow *-commutative cbrt-unprod associate-/l/ unswap-sqr
1×exp-diff associate-/r/
Counts
4 → 963
Calls
4 calls:
3.0ms
(* (log a) t)
4.0ms
(* y (log z))
8.0ms
(/ (/ x y) (pow a 1.0))
63.0ms
(/ (/ (/ x y) (pow a 1.0)) (exp (- (- b (* y (log z))) (* (log a) t))))

series616.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* (log a) t)
39.0ms
(* y (log z))
191.0ms
(/ (/ x y) (pow a 1.0))
328.0ms
(/ (/ (/ x y) (pow a 1.0)) (exp (- (- b (* y (log z))) (* (log a) t))))

simplify1.1s

Counts
975 → 975
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0132632546
1300530248
done500030247

prune3.5s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.9b
(* (/ (/ 1 (* (cbrt y) (cbrt y))) (pow (* (cbrt a) (cbrt a)) 1.0)) (/ (/ x (cbrt y)) (pow (cbrt a) 1.0)))
2.1b
(/ (/ x (cbrt y)) (pow (cbrt a) 1.0))
8.4b
(/ (* (/ (/ 1 (* (cbrt y) (cbrt y))) (pow (* (cbrt a) (cbrt a)) 1.0)) (/ (/ x (cbrt y)) (pow (cbrt a) 1.0))) (exp (- (- b (* y (log z))) (* (log a) t))))

rewrite396.0ms

Algorithm
rewrite-expression-head
Rules
1908×add-exp-log
1351×div-exp
1270×times-frac
864×add-sqr-sqrt
672×prod-exp
473×*-un-lft-identity
434×add-cube-cbrt
397×cbrt-prod
376×unpow-prod-down
314×pow-exp
224×associate-*r*
216×pow-to-exp
130×unswap-sqr
121×sqr-pow
112×rec-exp 1-exp
110×add-cbrt-cube
70×cbrt-undiv
39×associate-*l*
30×cbrt-unprod div-inv
23×associate-/l*
17×associate-/r*
8×exp-sum
6×pow1
4×sub-neg associate--l+ associate-/l/ add-log-exp
2×frac-times frac-2neg associate-*r/ associate-*l/ clear-num
1×exp-diff pow1/3 pow-prod-down associate-/r/ *-commutative
Counts
4 → 1148
Calls
4 calls:
1.0ms
(cbrt y)
181.0ms
(* (/ (/ 1 (* (cbrt y) (cbrt y))) (pow (* (cbrt a) (cbrt a)) 1.0)) (/ (/ x (cbrt y)) (pow (cbrt a) 1.0)))
14.0ms
(/ (/ x (cbrt y)) (pow (cbrt a) 1.0))
81.0ms
(/ (* (/ (/ 1 (* (cbrt y) (cbrt y))) (pow (* (cbrt a) (cbrt a)) 1.0)) (/ (/ x (cbrt y)) (pow (cbrt a) 1.0))) (exp (- (- b (* y (log z))) (* (log a) t))))

series1.3s

Counts
4 → 12
Calls
4 calls:
187.0ms
(cbrt y)
297.0ms
(* (/ (/ 1 (* (cbrt y) (cbrt y))) (pow (* (cbrt a) (cbrt a)) 1.0)) (/ (/ x (cbrt y)) (pow (cbrt a) 1.0)))
315.0ms
(/ (/ x (cbrt y)) (pow (cbrt a) 1.0))
504.0ms
(/ (* (/ (/ 1 (* (cbrt y) (cbrt y))) (pow (* (cbrt a) (cbrt a)) 1.0)) (/ (/ x (cbrt y)) (pow (cbrt a) 1.0))) (exp (- (- b (* y (log z))) (* (log a) t))))

simplify1.8s

Counts
1160 → 1160
Iterations

Useful iterations: 1 (1.3s)

IterNodesCost
0130839140
1460735949
done500035949

prune4.2s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (pow (/ 1 (pow a 1.0)) 1.0) x)
0.3b
(* (log a) t)
0.3b
(* y (log z))
8.8b
(/ (* (pow (/ 1 (pow a 1.0)) 1.0) x) (* (exp (+ (- (- (* y (log z))) (* (log a) t)) b)) y))

rewrite170.0ms

Algorithm
rewrite-expression-head
Rules
105×add-exp-log
51×prod-exp
48×add-sqr-sqrt
44×div-exp
43×unpow-prod-down
39×pow-exp
36×associate-*l*
29×*-un-lft-identity
28×times-frac
26×add-cube-cbrt
22×add-cbrt-cube
12×pow-to-exp
11×unswap-sqr
10×pow1 associate-*r*
9×rec-exp 1-exp
7×cbrt-unprod sqr-pow
6×log-prod
4×cbrt-undiv add-log-exp
3×distribute-rgt-in distribute-lft-in *-commutative
2×pow-prod-down log-pow div-inv
1×associate-+l- frac-2neg exp-diff associate-*l/ clear-num associate-/r* associate-/r/ associate-/l*
Counts
4 → 150
Calls
4 calls:
28.0ms
(* (pow (/ 1 (pow a 1.0)) 1.0) x)
3.0ms
(* (log a) t)
4.0ms
(* y (log z))
127.0ms
(/ (* (pow (/ 1 (pow a 1.0)) 1.0) x) (* (exp (+ (- (- (* y (log z))) (* (log a) t)) b)) y))

series670.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(* (pow (/ 1 (pow a 1.0)) 1.0) x)
58.0ms
(* (log a) t)
40.0ms
(* y (log z))
381.0ms
(/ (* (pow (/ 1 (pow a 1.0)) 1.0) x) (* (exp (+ (- (- (* y (log z))) (* (log a) t)) b)) y))

simplify758.0ms

Counts
162 → 162
Iterations

Useful iterations: done (753.0ms)

IterNodesCost
03112712
17282572
225262213
done50012170

prune532.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes539.0ms

Accuracy

68.1% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.9b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
03477
14358
done4358

end0.0ms

sample5.5s

Algorithm
intervals
Results
2.4s45221×body80nan
972.0ms15222×body80valid