Details

Time bar (total: 2.9s)

sample20.0ms

Algorithm
intervals
Results
9.0ms274×body80valid

simplify83.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0195
1385
2525
3805
41085
51575
65895
746175
850025

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.5b

localize9.0ms

Local error

Found 1 expressions with local error:

11.2b
(/ (- x (* y z)) (- t (* a z)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×add-exp-log associate-/r* add-cbrt-cube associate-/l*
2×flip3-- associate-/r/ flip-- associate-/l/
1×pow1 cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
6.0ms
(/ (- x (* y z)) (- t (* a z)))

series59.0ms

Counts
1 → 3
Calls
1 calls:
59.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify68.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0198291
1705269
22758269
35002269

prune107.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 11.2b

localize10.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (- t (* a z)))
11.2b
(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×times-frac
19×*-un-lft-identity
18×add-cube-cbrt
15×add-exp-log associate-*r*
9×add-cbrt-cube
5×pow1
4×flip3-- div-exp prod-exp associate-/r/ flip--
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ cbrt-unprod div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 75
Calls
2 calls:
4.0ms
(/ 1 (- t (* a z)))
10.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

series104.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ 1 (- t (* a z)))
58.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify42.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0299551
11422481
25002455

prune179.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 11.2b

localize10.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1 (/ (- t (* a z)) (- x (* y z))))
11.1b
(/ (- t (* a z)) (- x (* y z)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
54×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp
6×flip3-- flip-- div-inv associate-/l*
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×pow-flip div-sub inv-pow
Counts
2 → 116
Calls
2 calls:
8.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
6.0ms
(/ (- t (* a z)) (- x (* y z)))

series270.0ms

Counts
2 → 6
Calls
2 calls:
212.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
57.0ms
(/ (- t (* a z)) (- x (* y z)))

simplify54.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04561321
121301199
250011113

prune230.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 11.2b

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ 1 (- x (* y z)))
0.4b
(/ 1 (* (- t (* a z)) (/ 1 (- x (* y z)))))
11.1b
(* (- t (* a z)) (/ 1 (- x (* y z))))

rewrite216.0ms

Algorithm
rewrite-expression-head
Rules
51×add-exp-log
28×add-sqr-sqrt
23×times-frac
22×*-un-lft-identity
21×add-cube-cbrt
20×div-exp
19×add-cbrt-cube
16×prod-exp
15×associate-*r*
10×rec-exp 1-exp associate-/r/
9×pow1
6×cbrt-undiv flip3-- flip-- associate-/l*
4×frac-times associate-*l/ associate-/r* cbrt-unprod
3×pow-flip associate-*l* div-inv add-log-exp unswap-sqr
2×frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv inv-pow
1×*-commutative
Counts
3 → 119
Calls
3 calls:
192.0ms
(/ 1 (- x (* y z)))
10.0ms
(/ 1 (* (- t (* a z)) (/ 1 (- x (* y z)))))
10.0ms
(* (- t (* a z)) (/ 1 (- x (* y z))))

series315.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(/ 1 (- x (* y z)))
214.0ms
(/ 1 (* (- t (* a z)) (/ 1 (- x (* y z)))))
56.0ms
(* (- t (* a z)) (/ 1 (- x (* y z))))

simplify53.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0415915
12012756
25003717

prune219.0ms

Pruning

12 alts after pruning (8 fresh and 4 done)

Merged error: 11.2b

regimes275.0ms

Accuracy

0% (0.3b remaining)

Error of 10.7b against oracle of 10.4b and baseline of 10.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample553.0ms

Algorithm
intervals
Results
301.0ms8723×body80valid