Details

Time bar (total: 8.2s)

sample80.0ms

Algorithm
intervals
Results
22.0ms309×body80nan
17.0ms256×body80valid

simplify38.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
05017
110817
238917
3176117
4500217
done500217

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.5b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.2b
(/ 2.0 (* t 3.0))
0.9b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
4.1b
(/ (* z (sqrt (+ t a))) t)

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
75×*-un-lft-identity
63×prod-diff
62×associate--r+
49×add-sqr-sqrt
45×add-cube-cbrt
36×times-frac
31×distribute-rgt-in distribute-lft-in
20×frac-sub
16×add-exp-log add-cbrt-cube
15×distribute-lft-out
12×div-inv
9×flip3-- flip--
8×frac-times associate-*r/
7×fma-neg associate-*r*
6×pow1 add-log-exp
5×flip3-+ sqrt-prod flip-+
4×cbrt-undiv expm1-log1p-u sqrt-div div-exp associate-/r* log1p-expm1-u associate-/l*
3×sub-neg associate-*l* prod-exp cbrt-unprod
2×frac-2neg associate-*l/ associate--l+ clear-num associate-/l/ unswap-sqr
1×diff-log pow-prod-down *-commutative
Counts
4 → 179
Calls
4 calls:
21.0ms
(* z (sqrt (+ t a)))
7.0ms
(/ 2.0 (* t 3.0))
60.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
16.0ms
(/ (* z (sqrt (+ t a))) t)

series351.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* z (sqrt (+ t a)))
17.0ms
(/ 2.0 (* t 3.0))
191.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
79.0ms
(/ (* z (sqrt (+ t a))) t)

simplify50.0ms

Counts
191 → 191
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
013772637
150012324
done50012324

prune890.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
0.8b
(fma (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
1×fma-udef
Counts
4 → 49
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
0.0ms
(fma (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

series877.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt t)
184.0ms
(cbrt t)
177.0ms
(cbrt t)
338.0ms
(fma (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

simplify37.0ms

Counts
61 → 61
Iterations

Useful iterations: 3 (33.0ms)

IterNodesCost
0144371
1345322
21221312
35001306
done5001306

prune371.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 2.0 (* t 3.0))
0.9b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
4.1b
(/ (* z (sqrt (+ t a))) t)
39.7b
(cbrt (pow (/ 2.0 (* t 3.0)) 3))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
203×*-un-lft-identity
191×prod-diff
190×associate--r+
180×cbrt-prod
111×add-sqr-sqrt add-cube-cbrt
95×distribute-rgt-in distribute-lft-in
66×times-frac
63×unpow-prod-down cube-prod
46×distribute-lft-out
22×div-inv
20×frac-sub
14×add-exp-log add-cbrt-cube
9×cube-mult flip3-- unpow3 flip-- sqr-pow
8×frac-times
7×cube-div cbrt-div fma-neg
6×associate-*r/ add-log-exp
4×pow1 cbrt-undiv expm1-log1p-u flip3-+ div-exp associate-/r* flip-+ log1p-expm1-u associate-/l*
3×sub-neg
2×frac-2neg sqrt-div associate-*l/ prod-exp associate--l+ clear-num cbrt-unprod associate-/l/
1×pow1/3 diff-log rem-cbrt-cube
Counts
4 → 312
Calls
4 calls:
7.0ms
(/ 2.0 (* t 3.0))
91.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
14.0ms
(/ (* z (sqrt (+ t a))) t)
6.0ms
(cbrt (pow (/ 2.0 (* t 3.0)) 3))

series300.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(/ 2.0 (* t 3.0))
187.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
79.0ms
(/ (* z (sqrt (+ t a))) t)
18.0ms
(cbrt (pow (/ 2.0 (* t 3.0)) 3))

simplify75.0ms

Counts
324 → 324
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
016835517
150014999
done50014999

prune1.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 2.0 (* t 3.0))
0.7b
(fma (- (/ 5.0 6.0) (/ 2.0 (* t 3.0))) (- (- b c)) (/ (* z (sqrt (+ t a))) t))
1.1b
(log (* (exp (* a (- c b))) (exp (fma (- (/ 5.0 6.0) (/ 2.0 (* t 3.0))) (- (- b c)) (/ (* z (sqrt (+ t a))) t)))))
4.1b
(/ (* z (sqrt (+ t a))) t)

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
15×add-exp-log
14×add-cbrt-cube
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×pow1
6×times-frac
4×cbrt-undiv expm1-log1p-u div-exp associate-/r* log1p-expm1-u associate-/l* add-log-exp
3×prod-exp
2×frac-2neg sqrt-div associate-*r/ rem-log-exp clear-num log-pow cbrt-unprod div-inv associate-/l/
1×log-prod flip3-+ pow-prod-down flip-+ fma-udef
Counts
4 → 72
Calls
4 calls:
7.0ms
(/ 2.0 (* t 3.0))
0.0ms
(fma (- (/ 5.0 6.0) (/ 2.0 (* t 3.0))) (- (- b c)) (/ (* z (sqrt (+ t a))) t))
21.0ms
(log (* (exp (* a (- c b))) (exp (fma (- (/ 5.0 6.0) (/ 2.0 (* t 3.0))) (- (- b c)) (/ (* z (sqrt (+ t a))) t)))))
14.0ms
(/ (* z (sqrt (+ t a))) t)

series573.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(/ 2.0 (* t 3.0))
168.0ms
(fma (- (/ 5.0 6.0) (/ 2.0 (* t 3.0))) (- (- b c)) (/ (* z (sqrt (+ t a))) t))
310.0ms
(log (* (exp (* a (- c b))) (exp (fma (- (/ 5.0 6.0) (/ 2.0 (* t 3.0))) (- (- b c)) (/ (* z (sqrt (+ t a))) t)))))
78.0ms
(/ (* z (sqrt (+ t a))) t)

simplify45.0ms

Counts
84 → 84
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0472728
11799609
25002603
done5002603

prune688.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes260.0ms

Accuracy

0% (0.6b remaining)

Error of 1.7b against oracle of 1.1b and baseline of 1.7b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04222
14422
24422
done4422

end0.0ms

sample1.8s

Algorithm
intervals
Results
533.0ms8000×body80valid
485.0ms7952×body80nan