Details

Time bar (total: 30.1s)

sample159.0ms

Algorithm
intervals
Results
45.0ms270×body80nan
38.0ms256×body80valid

simplify1.6s

Counts
1 → 1
Iterations

Useful iterations: 4 (411.0ms)

IterNodesCost
02833
15033
210832
338832
4192331
done500231

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize52.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.3b
(/ (/ 2.0 t) 3.0)
1.6b
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
6.1b
(/ (* z (sqrt (+ t a))) t)

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
55×add-sqr-sqrt
53×*-un-lft-identity
51×add-cube-cbrt
16×add-exp-log add-cbrt-cube
14×associate-/l*
7×associate-*r*
6×pow1 associate-/r* div-inv
5×cbrt-undiv div-exp sqrt-prod
4×expm1-log1p-u sqrt-div associate-*r/ log1p-expm1-u add-log-exp
3×associate-*l* associate-/l/
2×frac-2neg flip3-+ prod-exp clear-num cbrt-unprod flip-+ unswap-sqr
1×pow-prod-down *-commutative fma-udef distribute-lft-out
Counts
4 → 134
Calls
4 calls:
25.0ms
(* z (sqrt (+ t a)))
15.0ms
(/ (/ 2.0 t) 3.0)
1.0ms
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
17.0ms
(/ (* z (sqrt (+ t a))) t)

series499.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(* z (sqrt (+ t a)))
26.0ms
(/ (/ 2.0 t) 3.0)
265.0ms
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
118.0ms
(/ (* z (sqrt (+ t a))) t)

simplify2.0s

Counts
146 → 146
Iterations

Useful iterations: done (2.0s)

IterNodesCost
03191876
17801756
233311636
done50021622

prune1.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize73.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (/ 2.0 t) 3.0)
0.4b
(/ t (sqrt (+ t a)))
1.0b
(/ z (/ t (sqrt (+ t a))))
1.6b
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ z (/ t (sqrt (+ t a)))))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
261×times-frac
178×*-un-lft-identity
146×add-sqr-sqrt add-cube-cbrt
64×sqrt-prod
37×associate-/r*
19×associate-/l*
16×add-exp-log add-cbrt-cube distribute-lft-out
11×associate-/r/ div-inv
10×sqrt-div
7×cbrt-undiv div-exp
5×flip3-+ flip-+
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num
1×fma-udef associate-/l/
Counts
4 → 257
Calls
4 calls:
11.0ms
(/ (/ 2.0 t) 3.0)
17.0ms
(/ t (sqrt (+ t a)))
38.0ms
(/ z (/ t (sqrt (+ t a))))
1.0ms
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ z (/ t (sqrt (+ t a)))))

series520.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ (/ 2.0 t) 3.0)
94.0ms
(/ t (sqrt (+ t a)))
102.0ms
(/ z (/ t (sqrt (+ t a))))
300.0ms
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ z (/ t (sqrt (+ t a)))))

simplify756.0ms

Counts
269 → 269
Iterations

Useful iterations: done (743.0ms)

IterNodesCost
04694188
112153841
done50013672

prune1.9s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))
0.0b
(pow (exp 2.0) (- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b)))
0.2b
(* 0.6666666666666666 (- (/ b t) (/ c t)))
1.7b
(- (/ b t) (/ c t))

rewrite654.0ms

Algorithm
rewrite-expression-head
Rules
1667×times-frac
1320×add-sqr-sqrt
1310×*-un-lft-identity
1294×add-cube-cbrt
1185×prod-diff
684×associate--l+
513×distribute-rgt-in distribute-lft-in
345×unpow-prod-up
187×div-inv
14×fma-neg
12×associate-*r*
9×sub-neg
8×distribute-lft-out-- add-log-exp difference-of-squares
7×pow1
6×add-exp-log add-cbrt-cube
4×expm1-log1p-u pow-pow associate-*r/ log1p-expm1-u
3×unpow-prod-down pow-unpow exp-prod flip3-- associate-*l* flip--
2×distribute-rgt-out-- diff-log frac-sub sub-div
1×pow-to-exp pow-prod-down pow-exp prod-exp *-commutative cbrt-unprod pow-sub unswap-sqr sqr-pow
Counts
4 → 1308
Calls
4 calls:
122.0ms
(- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))
121.0ms
(pow (exp 2.0) (- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b)))
179.0ms
(* 0.6666666666666666 (- (/ b t) (/ c t)))
58.0ms
(- (/ b t) (/ c t))

series270.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))
103.0ms
(pow (exp 2.0) (- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b)))
60.0ms
(* 0.6666666666666666 (- (/ b t) (/ c t)))
37.0ms
(- (/ b t) (/ c t))

simplify3.6s

Counts
1320 → 1320
Iterations

Useful iterations: done (3.5s)

IterNodesCost
0120155140
1378749116
done500242386

prune8.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt t) (cbrt t))
0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
11.0ms
(* (cbrt t) (cbrt t))
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series1.0s

Counts
4 → 12
Calls
4 calls:
275.0ms
(* (cbrt t) (cbrt t))
248.0ms
(cbrt t)
227.0ms
(cbrt t)
273.0ms
(cbrt t)

simplify1.1s

Counts
93 → 93
Iterations

Useful iterations: done (1.1s)

IterNodesCost
065554
1143443
2719423
done5000409

prune688.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes365.0ms

Accuracy

0% (1.8b remaining)

Error of 1.9b against oracle of 0.1b and baseline of 1.9b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02631
12831
done2831

end0.0ms

sample5.0s

Algorithm
intervals
Results
1.9s8000×body80valid
1.5s7928×body80nan