Details

Time bar (total: 14.6s)

sample32.0ms

Algorithm
intervals
Results
15.0ms284×body80valid

simplify3.9s

Counts
1 → 1
Iterations

Useful iterations: 3 (10.0ms)

IterNodesCost
01011
11811
23311
36110
411610
519010
628010
737710
867110
9125710
10367910
done500010

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- z a))
1.2b
(fma (/ y (- z a)) (- z t) x)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/r*
4×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
3×associate-/l*
2×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 49
Calls
2 calls:
22.0ms
(/ y (- z a))
1.0ms
(fma (/ y (- z a)) (- z t) x)

series168.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ y (- z a))
126.0ms
(fma (/ y (- z a)) (- z t) x)

simplify864.0ms

Counts
55 → 55
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
092552
1177535
2458495
31646495
done5000495

prune222.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ 1 (/ (- z a) y))
1.2b
(fma (/ 1 (/ (- z a) y)) (- z t) x)

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
117×times-frac
82×add-sqr-sqrt *-un-lft-identity
58×add-cube-cbrt
19×associate-/r*
13×add-exp-log
12×distribute-lft-out-- difference-of-squares
7×div-exp add-cbrt-cube
5×div-inv
3×pow1 cbrt-undiv associate-/l*
2×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
1×pow-flip frac-2neg clear-num associate-/r/ fma-udef inv-pow
Counts
2 → 112
Calls
2 calls:
35.0ms
(/ 1 (/ (- z a) y))
1.0ms
(fma (/ 1 (/ (- z a) y)) (- z t) x)

series223.0ms

Counts
2 → 6
Calls
2 calls:
116.0ms
(/ 1 (/ (- z a) y))
106.0ms
(fma (/ 1 (/ (- z a) y)) (- z t) x)

simplify1.1s

Counts
118 → 118
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01881736
14641433
219081363
done50001178

prune271.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

9.3b
(/ (- z t) (/ (- z a) y))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
185×times-frac
151×add-sqr-sqrt *-un-lft-identity
75×add-cube-cbrt
38×distribute-lft-out-- difference-of-squares
19×associate-/r*
7×div-inv
6×add-exp-log add-cbrt-cube
5×associate-/l*
3×cbrt-undiv div-exp
2×associate-/l/
1×pow1 expm1-log1p-u flip3-- frac-2neg div-sub clear-num associate-/r/ flip-- log1p-expm1-u add-log-exp
Counts
1 → 139
Calls
1 calls:
69.0ms
(/ (- z t) (/ (- z a) y))

series161.0ms

Counts
1 → 3
Calls
1 calls:
161.0ms
(/ (- z t) (/ (- z a) y))

simplify1.4s

Counts
142 → 142
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02302746
17342612
234402496
done50012492

prune525.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ 1 (/ (/ (- z a) y) (- z t)))
9.1b
(/ (/ (- z a) y) (- z t))

rewrite216.0ms

Algorithm
rewrite-expression-head
Rules
1168×times-frac
786×add-sqr-sqrt *-un-lft-identity
438×add-cube-cbrt
174×distribute-lft-out-- difference-of-squares
106×associate-/r*
32×div-inv
28×add-exp-log
22×associate-/l*
18×div-exp
16×add-cbrt-cube
11×associate-/r/
9×cbrt-undiv
5×flip3-- flip--
3×pow1 rec-exp 1-exp
2×expm1-log1p-u frac-2neg div-sub clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
2 → 573
Calls
2 calls:
64.0ms
(/ 1 (/ (/ (- z a) y) (- z t)))
61.0ms
(/ (/ (- z a) y) (- z t))

series385.0ms

Counts
2 → 6
Calls
2 calls:
285.0ms
(/ 1 (/ (/ (- z a) y) (- z t)))
100.0ms
(/ (/ (- z a) y) (- z t))

simplify1.6s

Counts
579 → 579
Iterations

Useful iterations: done (1.6s)

IterNodesCost
066813469
1201511861
done500111357

prune1.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes173.0ms

Accuracy

0% (3.0b remaining)

Error of 3.0b against oracle of 0.0b and baseline of 3.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0910
done910

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.1s8731×body80valid