Details

Time bar (total: 3.4s)

sample24.0ms

Algorithm
intervals
Results
11.0ms272×body80valid

simplify114.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0195
1385
2605
3885
41225
51755
66255
746865
850015

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.7b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* y z))
0.0b
(- t (* a z))
9.5b
(/ (- x (* y z)) (- t (* a z)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
6×fma-neg prod-diff
5×add-exp-log add-cbrt-cube
4×flip3-- flip--
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l*
2×sub-neg diff-log associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv
Counts
3 → 74
Calls
3 calls:
2.0ms
(- x (* y z))
2.0ms
(- t (* a z))
9.0ms
(/ (- x (* y z)) (- t (* a z)))

series130.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(- x (* y z))
34.0ms
(- t (* a z))
65.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify126.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (118.0ms)

IterNodesCost
0296491
1972444
24276439
35001435

prune255.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 9.4b

localize10.0ms

Local error

Found 1 expressions with local error:

9.5b
(/ (fma z y (- x)) (fma z a (- t)))

rewrite3.0ms

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*
1×pow1 cbrt-undiv expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
2.0ms
(/ (fma z y (- x)) (fma z a (- t)))

series61.0ms

Counts
1 → 3
Calls
1 calls:
61.0ms
(/ (fma z y (- x)) (fma z a (- t)))

simplify119.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 3 (38.0ms)

IterNodesCost
094267
1259245
2954245
33727243
45003243

prune117.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 9.4b

localize12.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ 1 (fma z a (- t)))
9.1b
(* (fma z y (- x)) (/ 1 (fma z a (- t))))

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
13×associate-*r*
9×add-cbrt-cube
5×pow1
4×div-exp prod-exp
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv expm1-log1p-u rec-exp 1-exp 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 → 71
Calls
2 calls:
2.0ms
(/ 1 (fma z a (- t)))
12.0ms
(* (fma z y (- x)) (/ 1 (fma z a (- t))))

series92.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ 1 (fma z a (- t)))
63.0ms
(* (fma z y (- x)) (/ 1 (fma z a (- t))))

simplify81.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 3 (71.0ms)

IterNodesCost
0197509
1782439
23926409
35001408

prune193.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 9.4b

localize15.0ms

Local error

Found 4 expressions with local error:

3.6b
(* (/ 1 (* (cbrt (- t (* a z))) (cbrt (- t (* a z))))) (/ (- x (* y z)) (cbrt (- t (* a z)))))
7.4b
(cbrt (- t (* a z)))
7.4b
(cbrt (- t (* a z)))
7.4b
(cbrt (- t (* a z)))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
43×add-sqr-sqrt
33×times-frac
25×*-un-lft-identity
24×associate-*r*
22×add-cube-cbrt
21×cbrt-prod
20×cbrt-div prod-exp
18×add-cbrt-cube
15×div-exp associate-*l*
10×flip3-- associate-/r/ flip--
9×unswap-sqr
8×cbrt-unprod
7×cbrt-undiv
6×pow1
5×frac-times
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 127
Calls
4 calls:
70.0ms
(* (/ 1 (* (cbrt (- t (* a z))) (cbrt (- t (* a z))))) (/ (- x (* y z)) (cbrt (- t (* a z)))))
2.0ms
(cbrt (- t (* a z)))
2.0ms
(cbrt (- t (* a z)))
2.0ms
(cbrt (- t (* a z)))

series655.0ms

Counts
4 → 12
Calls
4 calls:
267.0ms
(* (/ 1 (* (cbrt (- t (* a z))) (cbrt (- t (* a z))))) (/ (- x (* y z)) (cbrt (- t (* a z)))))
131.0ms
(cbrt (- t (* a z)))
129.0ms
(cbrt (- t (* a z)))
127.0ms
(cbrt (- t (* a z)))

simplify102.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
06491929
128271677
250011538

prune460.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 9.4b

regimes206.0ms

Accuracy

0% (0.3b remaining)

Error of 10.2b against oracle of 9.9b and baseline of 10.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105

end0.0ms

sample539.0ms

Algorithm
intervals
Results
284.0ms8721×body80valid