Details

Time bar (total: 2.4s)

sample24.0ms

Algorithm
intervals
Results
11.0ms332×body80valid

simplify45.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 7 (21.0ms)

IterNodesCost
0164
1324
2714
31604
42744
54624
67274
78913
810833
912163
1012693
1112693

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

2.4b
(fma (/ y a) (- t z) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (/ y a) (- t z) x)

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(fma (/ y a) (- t z) x)

simplify38.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
04169
19462
227253
3130853
4500153

prune35.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
6.3b
(/ (* y (- z t)) a)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity
18×add-cube-cbrt prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u sub-neg flip3-- div-exp prod-exp flip-- cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 71
Calls
2 calls:
13.0ms
(* y (- z t))
10.0ms
(/ (* y (- z t)) a)

series82.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* y (- z t))
45.0ms
(/ (* y (- z t)) a)

simplify40.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0313491
11415328
25001322

prune119.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z t))
0.5b
(/ 1 (/ a (* y (- z t))))
6.3b
(/ a (* y (- z t)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
41×add-sqr-sqrt
39×*-un-lft-identity
37×add-cube-cbrt
31×add-exp-log
19×add-cbrt-cube
18×prod-diff
14×div-exp
12×associate-*r/
11×distribute-rgt-in distribute-lft-in associate-/r/
10×associate-/r*
7×cbrt-undiv
6×pow1 flip3-- flip-- div-inv associate-/l*
5×associate-*r* prod-exp
3×expm1-log1p-u rec-exp 1-exp associate-*l* cbrt-unprod log1p-expm1-u add-log-exp
2×sub-neg frac-2neg clear-num
1×pow-flip pow-prod-down *-commutative distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
3 → 137
Calls
3 calls:
14.0ms
(* y (- z t))
10.0ms
(/ 1 (/ a (* y (- z t))))
5.0ms
(/ a (* y (- z t)))

series122.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(* y (- z t))
52.0ms
(/ 1 (/ a (* y (- z t))))
35.0ms
(/ a (* y (- z t)))

simplify56.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0471972
12221745
25002693

prune215.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ a (- z t))
7.9b
(/ y (/ a (- z t)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
Counts
2 → 143
Calls
2 calls:
5.0ms
(/ a (- z t))
9.0ms
(/ y (/ a (- z t)))

series81.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ a (- z t))
54.0ms
(/ y (/ a (- z t)))

simplify56.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04881065
122041025
250011016

prune366.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes323.0ms

Accuracy

78% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.6b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02215
12215

end0.0ms

sample607.0ms

Algorithm
intervals
Results
304.0ms10762×body80valid