Details

Time bar (total: 3.5s)

sample29.0ms

Algorithm
intervals
Results
17.0ms270×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0103
1173
2213
3213

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize6.0ms

Local error

Found 1 expressions with local error:

3.8b
(/ x (- y (* z t)))

rewrite5.0ms

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×associate-/r/
1×pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg div-exp clear-num flip-- log1p-expm1-u div-inv add-log-exp
Counts
1 → 31
Calls
1 calls:
4.0ms
(/ x (- y (* z t)))

series42.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(/ x (- y (* z t)))

simplify133.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 3 (48.0ms)

IterNodesCost
0135194
1424180
21338179
34401178
45001178

prune103.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 3.8b

localize8.0ms

Local error

Found 2 expressions with local error:

1.0b
(/ 1 (- y (* z t)))
3.5b
(* x (/ 1 (- y (* z t))))

rewrite20.0ms

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×div-exp prod-exp associate-/r/
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv expm1-log1p-u rec-exp flip3-- 1-exp flip-- cbrt-unprod log1p-expm1-u 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 (- y (* z t)))
13.0ms
(* x (/ 1 (- y (* z t))))

series103.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(/ 1 (- y (* z t)))
41.0ms
(* x (/ 1 (- y (* z t))))

simplify83.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 3 (77.0ms)

IterNodesCost
0244439
11023381
23734349
35001348

prune188.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 3.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ 1 (/ (- y (* z t)) x))
3.8b
(/ (- y (* z t)) x)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
15×add-exp-log
9×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub associate-/r/ flip-- inv-pow
Counts
2 → 110
Calls
2 calls:
7.0ms
(/ 1 (/ (- y (* z t)) x))
7.0ms
(/ (- y (* z t)) x)

series189.0ms

Counts
2 → 6
Calls
2 calls:
132.0ms
(/ 1 (/ (- y (* z t)) x))
57.0ms
(/ (- y (* z t)) x)

simplify56.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0379897
11683799
25001724

prune233.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 3.8b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- y (* z t))) (cbrt (- y (* z t))))
10.7b
(cbrt (- y (* z t)))
10.7b
(cbrt (- y (* z t)))
10.7b
(cbrt (- y (* z t)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
14.0ms
(* (cbrt (- y (* z t))) (cbrt (- y (* z t))))
2.0ms
(cbrt (- y (* z t)))
2.0ms
(cbrt (- y (* z t)))
2.0ms
(cbrt (- y (* z t)))

series637.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(* (cbrt (- y (* z t))) (cbrt (- y (* z t))))
148.0ms
(cbrt (- y (* z t)))
163.0ms
(cbrt (- y (* z t)))
137.0ms
(cbrt (- y (* z t)))

simplify51.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0322926
11094874
25001823

prune615.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 3.8b

regimes216.0ms

Accuracy

0% (0.1b remaining)

Error of 2.9b against oracle of 2.8b and baseline of 2.9b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample666.0ms

Algorithm
intervals
Results
445.0ms8378×body80valid