Details

Time bar (total: 2.1s)

sample20.0ms

Algorithm
intervals
Results
8.0ms334×body80valid

simplify122.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0144
1284
2513
3903
41503
52143
63083
74473
85503
98653
1012313
1117253
1227283
1344663
1450013

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y x) t)
3.7b
(fma (/ (- y x) t) z x)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/l*
4×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
3×associate-/r*
2×pow1 expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 50
Calls
2 calls:
6.0ms
(/ (- y x) t)
1.0ms
(fma (/ (- y x) t) z x)

series63.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ (- y x) t)
33.0ms
(fma (/ (- y x) t) z x)

simplify46.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0194271
1528254
21881245
35002245

prune127.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (- y x) (/ 1 t))
3.7b
(fma (* (- y x) (/ 1 t)) z x)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
13×*-un-lft-identity associate-*r*
11×add-exp-log times-frac
10×add-cube-cbrt
7×add-cbrt-cube
5×associate-*l*
4×pow1 prod-exp
3×unswap-sqr
2×expm1-log1p-u frac-times flip3-- div-exp associate-*l/ flip-- cbrt-unprod log1p-expm1-u add-log-exp
1×cbrt-undiv rec-exp 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative fma-udef div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 54
Calls
2 calls:
10.0ms
(* (- y x) (/ 1 t))
1.0ms
(fma (* (- y x) (/ 1 t)) z x)

series62.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(* (- y x) (/ 1 t))
37.0ms
(fma (* (- y x) (/ 1 t)) z x)

simplify37.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0277304
11127260
25001239

prune137.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- y x))
0.4b
(/ 1 (/ t (- y x)))
3.7b
(fma (/ 1 (/ t (- y x))) z x)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
103×add-sqr-sqrt *-un-lft-identity
71×add-cube-cbrt
26×associate-/r*
16×add-exp-log distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×flip3-- flip--
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num
1×pow-flip fma-udef inv-pow
Counts
3 → 159
Calls
3 calls:
5.0ms
(/ t (- y x))
9.0ms
(/ 1 (/ t (- y x)))
1.0ms
(fma (/ 1 (/ t (- y x))) z x)

series96.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ t (- y x))
32.0ms
(/ 1 (/ t (- y x)))
36.0ms
(fma (/ 1 (/ t (- y x))) z x)

simplify55.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04761139
121021012
25002885

prune275.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y x) t)
3.7b
(fma (/ (- y x) t) z x)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/l*
4×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
3×associate-/r*
2×pow1 expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 50
Calls
2 calls:
6.0ms
(/ (- y x) t)
1.0ms
(fma (/ (- y x) t) z x)

series64.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ (- y x) t)
33.0ms
(fma (/ (- y x) t) z x)

simplify48.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0194271
1528254
21881245
35002245

prune120.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes153.0ms

Accuracy

57.9% (2.7b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 6.5b

bsearch62.0ms

Steps
ItersRangePoint
10
2.783849581013839e-97
4.23389962872691e-81
3.837568830891015e-81
6
-2.7044898427345917e-177
-3.4218463915319007e-178
-2.658477094375327e-177

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02512
12512

end0.0ms

sample544.0ms

Algorithm
intervals
Results
283.0ms10609×body80valid